Merge pull request #1582 from KPatr1ck/docs

[Audio][Doc]Add paddleaudio doc.
pull/1590/head
TianYuan 2 years ago committed by GitHub
commit e7916a5ad6
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@ -11,6 +11,7 @@
# WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. # WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
# See the License for the specific language governing permissions and # See the License for the specific language governing permissions and
# limitations under the License. # limitations under the License.
import os
import warnings import warnings
from typing import Optional from typing import Optional
from typing import Tuple from typing import Tuple
@ -19,7 +20,6 @@ from typing import Union
import numpy as np import numpy as np
import resampy import resampy
import soundfile as sf import soundfile as sf
from numpy import ndarray as array
from scipy.io import wavfile from scipy.io import wavfile
from ..utils import ParameterError from ..utils import ParameterError
@ -38,13 +38,21 @@ RESAMPLE_MODES = ['kaiser_best', 'kaiser_fast']
EPS = 1e-8 EPS = 1e-8
def resample(y: array, src_sr: int, target_sr: int, def resample(y: np.ndarray,
mode: str='kaiser_fast') -> array: src_sr: int,
""" Audio resampling target_sr: int,
This function is the same as using resampy.resample(). mode: str='kaiser_fast') -> np.ndarray:
Notes: """Audio resampling.
The default mode is kaiser_fast. For better audio quality, use mode = 'kaiser_fast'
""" Args:
y (np.ndarray): Input waveform array in 1D or 2D.
src_sr (int): Source sample rate.
target_sr (int): Target sample rate.
mode (str, optional): The resampling filter to use. Defaults to 'kaiser_fast'.
Returns:
np.ndarray: `y` resampled to `target_sr`
"""
if mode == 'kaiser_best': if mode == 'kaiser_best':
warnings.warn( warnings.warn(
@ -53,7 +61,7 @@ def resample(y: array, src_sr: int, target_sr: int,
if not isinstance(y, np.ndarray): if not isinstance(y, np.ndarray):
raise ParameterError( raise ParameterError(
'Only support numpy array, but received y in {type(y)}') 'Only support numpy np.ndarray, but received y in {type(y)}')
if mode not in RESAMPLE_MODES: if mode not in RESAMPLE_MODES:
raise ParameterError(f'resample mode must in {RESAMPLE_MODES}') raise ParameterError(f'resample mode must in {RESAMPLE_MODES}')
@ -61,9 +69,17 @@ def resample(y: array, src_sr: int, target_sr: int,
return resampy.resample(y, src_sr, target_sr, filter=mode) return resampy.resample(y, src_sr, target_sr, filter=mode)
def to_mono(y: array, merge_type: str='average') -> array: def to_mono(y: np.ndarray, merge_type: str='average') -> np.ndarray:
""" convert sterior audio to mono """Convert sterior audio to mono.
Args:
y (np.ndarray): Input waveform array in 1D or 2D.
merge_type (str, optional): Merge type to generate mono waveform. Defaults to 'average'.
Returns:
np.ndarray: `y` with mono channel.
""" """
if merge_type not in MERGE_TYPES: if merge_type not in MERGE_TYPES:
raise ParameterError( raise ParameterError(
f'Unsupported merge type {merge_type}, available types are {MERGE_TYPES}' f'Unsupported merge type {merge_type}, available types are {MERGE_TYPES}'
@ -101,18 +117,34 @@ def to_mono(y: array, merge_type: str='average') -> array:
return y_out return y_out
def _safe_cast(y: array, dtype: Union[type, str]) -> array: def _safe_cast(y: np.ndarray, dtype: Union[type, str]) -> np.ndarray:
""" data type casting in a safe way, i.e., prevent overflow or underflow """Data type casting in a safe way, i.e., prevent overflow or underflow.
This function is used internally.
Args:
y (np.ndarray): Input waveform array in 1D or 2D.
dtype (Union[type, str]): Data type of waveform.
Returns:
np.ndarray: `y` after safe casting.
""" """
return np.clip(y, np.iinfo(dtype).min, np.iinfo(dtype).max).astype(dtype) if 'float' in str(y.dtype):
return np.clip(y, np.finfo(dtype).min,
np.finfo(dtype).max).astype(dtype)
else:
return np.clip(y, np.iinfo(dtype).min,
np.iinfo(dtype).max).astype(dtype)
def depth_convert(y: array, dtype: Union[type, str], def depth_convert(y: np.ndarray, dtype: Union[type, str]) -> np.ndarray:
dithering: bool=True) -> array: """Convert audio array to target dtype safely. This function convert audio waveform to a target dtype, with addition steps of
"""Convert audio array to target dtype safely
This function convert audio waveform to a target dtype, with addition steps of
preventing overflow/underflow and preserving audio range. preventing overflow/underflow and preserving audio range.
Args:
y (np.ndarray): Input waveform array in 1D or 2D.
dtype (Union[type, str]): Data type of waveform.
Returns:
np.ndarray: `y` after safe casting.
""" """
SUPPORT_DTYPE = ['int16', 'int8', 'float32', 'float64'] SUPPORT_DTYPE = ['int16', 'int8', 'float32', 'float64']
@ -157,14 +189,20 @@ def depth_convert(y: array, dtype: Union[type, str],
return y return y
def sound_file_load(file: str, def sound_file_load(file: os.PathLike,
offset: Optional[float]=None, offset: Optional[float]=None,
dtype: str='int16', dtype: str='int16',
duration: Optional[int]=None) -> Tuple[array, int]: duration: Optional[int]=None) -> Tuple[np.ndarray, int]:
"""Load audio using soundfile library """Load audio using soundfile library. This function load audio file using libsndfile.
This function load audio file using libsndfile.
Reference: Args:
http://www.mega-nerd.com/libsndfile/#Features file (os.PathLike): File of waveform.
offset (Optional[float], optional): Offset to the start of waveform. Defaults to None.
dtype (str, optional): Data type of waveform. Defaults to 'int16'.
duration (Optional[int], optional): Duration of waveform to read. Defaults to None.
Returns:
Tuple[np.ndarray, int]: Waveform in ndarray and its samplerate.
""" """
with sf.SoundFile(file) as sf_desc: with sf.SoundFile(file) as sf_desc:
sr_native = sf_desc.samplerate sr_native = sf_desc.samplerate
@ -179,9 +217,17 @@ def sound_file_load(file: str,
return y, sf_desc.samplerate return y, sf_desc.samplerate
def normalize(y: array, norm_type: str='linear', def normalize(y: np.ndarray, norm_type: str='linear',
mul_factor: float=1.0) -> array: mul_factor: float=1.0) -> np.ndarray:
""" normalize an input audio with additional multiplier. """Normalize an input audio with additional multiplier.
Args:
y (np.ndarray): Input waveform array in 1D or 2D.
norm_type (str, optional): Type of normalization. Defaults to 'linear'.
mul_factor (float, optional): Scaling factor. Defaults to 1.0.
Returns:
np.ndarray: `y` after normalization.
""" """
if norm_type == 'linear': if norm_type == 'linear':
@ -199,12 +245,13 @@ def normalize(y: array, norm_type: str='linear',
return y return y
def save(y: array, sr: int, file: str) -> None: def save(y: np.ndarray, sr: int, file: os.PathLike) -> None:
"""Save audio file to disk. """Save audio file to disk. This function saves audio to disk using scipy.io.wavfile, with additional step to convert input waveform to int16.
This function saves audio to disk using scipy.io.wavfile, with additional step
to convert input waveform to int16 unless it already is int16 Args:
Notes: y (np.ndarray): Input waveform array in 1D or 2D.
It only support raw wav format. sr (int): Sample rate.
file (os.PathLike): Path of auido file to save.
""" """
if not file.endswith('.wav'): if not file.endswith('.wav'):
raise ParameterError( raise ParameterError(
@ -226,7 +273,7 @@ def save(y: array, sr: int, file: str) -> None:
def load( def load(
file: str, file: os.PathLike,
sr: Optional[int]=None, sr: Optional[int]=None,
mono: bool=True, mono: bool=True,
merge_type: str='average', # ch0,ch1,random,average merge_type: str='average', # ch0,ch1,random,average
@ -236,11 +283,24 @@ def load(
offset: float=0.0, offset: float=0.0,
duration: Optional[int]=None, duration: Optional[int]=None,
dtype: str='float32', dtype: str='float32',
resample_mode: str='kaiser_fast') -> Tuple[array, int]: resample_mode: str='kaiser_fast') -> Tuple[np.ndarray, int]:
"""Load audio file from disk. """Load audio file from disk. This function loads audio from disk using using audio beackend.
This function loads audio from disk using using audio beackend.
Parameters: Args:
Notes: file (os.PathLike): Path of auido file to load.
sr (Optional[int], optional): Sample rate of loaded waveform. Defaults to None.
mono (bool, optional): Return waveform with mono channel. Defaults to True.
merge_type (str, optional): Merge type of multi-channels waveform. Defaults to 'average'.
normal (bool, optional): Waveform normalization. Defaults to True.
norm_type (str, optional): Type of normalization. Defaults to 'linear'.
norm_mul_factor (float, optional): Scaling factor. Defaults to 1.0.
offset (float, optional): Offset to the start of waveform. Defaults to 0.0.
duration (Optional[int], optional): Duration of waveform to read. Defaults to None.
dtype (str, optional): Data type of waveform. Defaults to 'float32'.
resample_mode (str, optional): The resampling filter to use. Defaults to 'kaiser_fast'.
Returns:
Tuple[np.ndarray, int]: Waveform in ndarray and its samplerate.
""" """
y, r = sound_file_load(file, offset=offset, dtype=dtype, duration=duration) y, r = sound_file_load(file, offset=offset, dtype=dtype, duration=duration)

@ -220,7 +220,7 @@ def spectrogram(waveform: Tensor,
"""Compute and return a spectrogram from a waveform. The output is identical to Kaldi's. """Compute and return a spectrogram from a waveform. The output is identical to Kaldi's.
Args: Args:
waveform (Tensor): A waveform tensor with shape [C, T]. waveform (Tensor): A waveform tensor with shape `(C, T)`.
blackman_coeff (float, optional): Coefficient for Blackman window.. Defaults to 0.42. blackman_coeff (float, optional): Coefficient for Blackman window.. Defaults to 0.42.
channel (int, optional): Select the channel of waveform. Defaults to -1. channel (int, optional): Select the channel of waveform. Defaults to -1.
dither (float, optional): Dithering constant . Defaults to 0.0. dither (float, optional): Dithering constant . Defaults to 0.0.
@ -239,7 +239,7 @@ def spectrogram(waveform: Tensor,
window_type (str, optional): Choose type of window for FFT computation. Defaults to POVEY. window_type (str, optional): Choose type of window for FFT computation. Defaults to POVEY.
Returns: Returns:
Tensor: A spectrogram tensor with shape (m, padded_window_size // 2 + 1) where m is the number of frames Tensor: A spectrogram tensor with shape `(m, padded_window_size // 2 + 1)` where m is the number of frames
depends on frame_length and frame_shift. depends on frame_length and frame_shift.
""" """
dtype = waveform.dtype dtype = waveform.dtype
@ -422,7 +422,7 @@ def fbank(waveform: Tensor,
"""Compute and return filter banks from a waveform. The output is identical to Kaldi's. """Compute and return filter banks from a waveform. The output is identical to Kaldi's.
Args: Args:
waveform (Tensor): A waveform tensor with shape [C, T]. waveform (Tensor): A waveform tensor with shape `(C, T)`.
blackman_coeff (float, optional): Coefficient for Blackman window.. Defaults to 0.42. blackman_coeff (float, optional): Coefficient for Blackman window.. Defaults to 0.42.
channel (int, optional): Select the channel of waveform. Defaults to -1. channel (int, optional): Select the channel of waveform. Defaults to -1.
dither (float, optional): Dithering constant . Defaults to 0.0. dither (float, optional): Dithering constant . Defaults to 0.0.
@ -451,7 +451,7 @@ def fbank(waveform: Tensor,
window_type (str, optional): Choose type of window for FFT computation. Defaults to POVEY. window_type (str, optional): Choose type of window for FFT computation. Defaults to POVEY.
Returns: Returns:
Tensor: A filter banks tensor with shape (m, n_mels). Tensor: A filter banks tensor with shape `(m, n_mels)`.
""" """
dtype = waveform.dtype dtype = waveform.dtype
@ -542,7 +542,7 @@ def mfcc(waveform: Tensor,
identical to Kaldi's. identical to Kaldi's.
Args: Args:
waveform (Tensor): A waveform tensor with shape [C, T]. waveform (Tensor): A waveform tensor with shape `(C, T)`.
blackman_coeff (float, optional): Coefficient for Blackman window.. Defaults to 0.42. blackman_coeff (float, optional): Coefficient for Blackman window.. Defaults to 0.42.
cepstral_lifter (float, optional): Scaling of output mfccs. Defaults to 22.0. cepstral_lifter (float, optional): Scaling of output mfccs. Defaults to 22.0.
channel (int, optional): Select the channel of waveform. Defaults to -1. channel (int, optional): Select the channel of waveform. Defaults to -1.
@ -571,7 +571,7 @@ def mfcc(waveform: Tensor,
window_type (str, optional): Choose type of window for FFT computation. Defaults to POVEY. window_type (str, optional): Choose type of window for FFT computation. Defaults to POVEY.
Returns: Returns:
Tensor: A mel frequency cepstral coefficients tensor with shape (m, n_mfcc). Tensor: A mel frequency cepstral coefficients tensor with shape `(m, n_mfcc)`.
""" """
assert n_mfcc <= n_mels, 'n_mfcc cannot be larger than n_mels: %d vs %d' % ( assert n_mfcc <= n_mels, 'n_mfcc cannot be larger than n_mels: %d vs %d' % (
n_mfcc, n_mels) n_mfcc, n_mels)

@ -19,7 +19,6 @@ from typing import Union
import numpy as np import numpy as np
import scipy import scipy
from numpy import ndarray as array
from numpy.lib.stride_tricks import as_strided from numpy.lib.stride_tricks import as_strided
from scipy import signal from scipy import signal
@ -32,7 +31,6 @@ __all__ = [
'mfcc', 'mfcc',
'hz_to_mel', 'hz_to_mel',
'mel_to_hz', 'mel_to_hz',
'split_frames',
'mel_frequencies', 'mel_frequencies',
'power_to_db', 'power_to_db',
'compute_fbank_matrix', 'compute_fbank_matrix',
@ -49,7 +47,8 @@ __all__ = [
] ]
def pad_center(data: array, size: int, axis: int=-1, **kwargs) -> array: def _pad_center(data: np.ndarray, size: int, axis: int=-1,
**kwargs) -> np.ndarray:
"""Pad an array to a target length along a target axis. """Pad an array to a target length along a target axis.
This differs from `np.pad` by centering the data prior to padding, This differs from `np.pad` by centering the data prior to padding,
@ -69,8 +68,10 @@ def pad_center(data: array, size: int, axis: int=-1, **kwargs) -> array:
return np.pad(data, lengths, **kwargs) return np.pad(data, lengths, **kwargs)
def split_frames(x: array, frame_length: int, hop_length: int, def _split_frames(x: np.ndarray,
axis: int=-1) -> array: frame_length: int,
hop_length: int,
axis: int=-1) -> np.ndarray:
"""Slice a data array into (overlapping) frames. """Slice a data array into (overlapping) frames.
This function is aligned with librosa.frame This function is aligned with librosa.frame
@ -142,11 +143,16 @@ def _check_audio(y, mono=True) -> bool:
return True return True
def hz_to_mel(frequencies: Union[float, List[float], array], def hz_to_mel(frequencies: Union[float, List[float], np.ndarray],
htk: bool=False) -> array: htk: bool=False) -> np.ndarray:
"""Convert Hz to Mels """Convert Hz to Mels.
This function is aligned with librosa. Args:
frequencies (Union[float, List[float], np.ndarray]): Frequencies in Hz.
htk (bool, optional): Use htk scaling. Defaults to False.
Returns:
np.ndarray: Frequency in mels.
""" """
freq = np.asanyarray(frequencies) freq = np.asanyarray(frequencies)
@ -177,10 +183,16 @@ def hz_to_mel(frequencies: Union[float, List[float], array],
return mels return mels
def mel_to_hz(mels: Union[float, List[float], array], htk: int=False) -> array: def mel_to_hz(mels: Union[float, List[float], np.ndarray],
htk: int=False) -> np.ndarray:
"""Convert mel bin numbers to frequencies. """Convert mel bin numbers to frequencies.
This function is aligned with librosa. Args:
mels (Union[float, List[float], np.ndarray]): Frequency in mels.
htk (bool, optional): Use htk scaling. Defaults to False.
Returns:
np.ndarray: Frequencies in Hz.
""" """
mel_array = np.asanyarray(mels) mel_array = np.asanyarray(mels)
@ -212,10 +224,17 @@ def mel_to_hz(mels: Union[float, List[float], array], htk: int=False) -> array:
def mel_frequencies(n_mels: int=128, def mel_frequencies(n_mels: int=128,
fmin: float=0.0, fmin: float=0.0,
fmax: float=11025.0, fmax: float=11025.0,
htk: bool=False) -> array: htk: bool=False) -> np.ndarray:
"""Compute mel frequencies """Compute mel frequencies.
Args:
n_mels (int, optional): Number of mel bins. Defaults to 128.
fmin (float, optional): Minimum frequency in Hz. Defaults to 0.0.
fmax (float, optional): Maximum frequency in Hz. Defaults to 11025.0.
htk (bool, optional): Use htk scaling. Defaults to False.
This function is aligned with librosa. Returns:
np.ndarray: Vector of n_mels frequencies in Hz with shape `(n_mels,)`.
""" """
# 'Center freqs' of mel bands - uniformly spaced between limits # 'Center freqs' of mel bands - uniformly spaced between limits
min_mel = hz_to_mel(fmin, htk=htk) min_mel = hz_to_mel(fmin, htk=htk)
@ -226,10 +245,15 @@ def mel_frequencies(n_mels: int=128,
return mel_to_hz(mels, htk=htk) return mel_to_hz(mels, htk=htk)
def fft_frequencies(sr: int, n_fft: int) -> array: def fft_frequencies(sr: int, n_fft: int) -> np.ndarray:
"""Compute fourier frequencies. """Compute fourier frequencies.
This function is aligned with librosa. Args:
sr (int): Sample rate.
n_fft (int): FFT size.
Returns:
np.ndarray: FFT frequencies in Hz with shape `(n_fft//2 + 1,)`.
""" """
return np.linspace(0, float(sr) / 2, int(1 + n_fft // 2), endpoint=True) return np.linspace(0, float(sr) / 2, int(1 + n_fft // 2), endpoint=True)
@ -241,10 +265,22 @@ def compute_fbank_matrix(sr: int,
fmax: Optional[float]=None, fmax: Optional[float]=None,
htk: bool=False, htk: bool=False,
norm: str="slaney", norm: str="slaney",
dtype: type=np.float32): dtype: type=np.float32) -> np.ndarray:
"""Compute fbank matrix. """Compute fbank matrix.
This funciton is aligned with librosa. Args:
sr (int): Sample rate.
n_fft (int): FFT size.
n_mels (int, optional): Number of mel bins. Defaults to 128.
fmin (float, optional): Minimum frequency in Hz. Defaults to 0.0.
fmax (Optional[float], optional): Maximum frequency in Hz. Defaults to None.
htk (bool, optional): Use htk scaling. Defaults to False.
norm (str, optional): Type of normalization. Defaults to "slaney".
dtype (type, optional): Data type. Defaults to np.float32.
Returns:
np.ndarray: Mel transform matrix with shape `(n_mels, n_fft//2 + 1)`.
""" """
if norm != "slaney": if norm != "slaney":
raise ParameterError('norm must set to slaney') raise ParameterError('norm must set to slaney')
@ -289,17 +325,28 @@ def compute_fbank_matrix(sr: int,
return weights return weights
def stft(x: array, def stft(x: np.ndarray,
n_fft: int=2048, n_fft: int=2048,
hop_length: Optional[int]=None, hop_length: Optional[int]=None,
win_length: Optional[int]=None, win_length: Optional[int]=None,
window: str="hann", window: str="hann",
center: bool=True, center: bool=True,
dtype: type=np.complex64, dtype: type=np.complex64,
pad_mode: str="reflect") -> array: pad_mode: str="reflect") -> np.ndarray:
"""Short-time Fourier transform (STFT). """Short-time Fourier transform (STFT).
This function is aligned with librosa. Args:
x (np.ndarray): Input waveform in one dimension.
n_fft (int, optional): FFT size. Defaults to 2048.
hop_length (Optional[int], optional): Number of steps to advance between adjacent windows. Defaults to None.
win_length (Optional[int], optional): The size of window. Defaults to None.
window (str, optional): A string of window specification. Defaults to "hann".
center (bool, optional): Whether to pad `x` to make that the :math:`t \times hop\_length` at the center of `t`-th frame. Defaults to True.
dtype (type, optional): Data type of STFT results. Defaults to np.complex64.
pad_mode (str, optional): Choose padding pattern when `center` is `True`. Defaults to "reflect".
Returns:
np.ndarray: The complex STFT output with shape `(n_fft//2 + 1, num_frames)`.
""" """
_check_audio(x) _check_audio(x)
@ -314,7 +361,7 @@ def stft(x: array,
fft_window = signal.get_window(window, win_length, fftbins=True) fft_window = signal.get_window(window, win_length, fftbins=True)
# Pad the window out to n_fft size # Pad the window out to n_fft size
fft_window = pad_center(fft_window, n_fft) fft_window = _pad_center(fft_window, n_fft)
# Reshape so that the window can be broadcast # Reshape so that the window can be broadcast
fft_window = fft_window.reshape((-1, 1)) fft_window = fft_window.reshape((-1, 1))
@ -333,7 +380,7 @@ def stft(x: array,
) )
# Window the time series. # Window the time series.
x_frames = split_frames(x, frame_length=n_fft, hop_length=hop_length) x_frames = _split_frames(x, frame_length=n_fft, hop_length=hop_length)
# Pre-allocate the STFT matrix # Pre-allocate the STFT matrix
stft_matrix = np.empty( stft_matrix = np.empty(
(int(1 + n_fft // 2), x_frames.shape[1]), dtype=dtype, order="F") (int(1 + n_fft // 2), x_frames.shape[1]), dtype=dtype, order="F")
@ -352,16 +399,20 @@ def stft(x: array,
return stft_matrix return stft_matrix
def power_to_db(spect: array, def power_to_db(spect: np.ndarray,
ref: float=1.0, ref: float=1.0,
amin: float=1e-10, amin: float=1e-10,
top_db: Optional[float]=80.0) -> array: top_db: Optional[float]=80.0) -> np.ndarray:
"""Convert a power spectrogram (amplitude squared) to decibel (dB) units """Convert a power spectrogram (amplitude squared) to decibel (dB) units. The function computes the scaling `10 * log10(x / ref)` in a numerically stable way.
This computes the scaling ``10 * log10(spect / ref)`` in a numerically Args:
stable way. spect (np.ndarray): STFT power spectrogram of an input waveform.
ref (float, optional): The reference value. If smaller than 1.0, the db level of the signal will be pulled up accordingly. Otherwise, the db level is pushed down. Defaults to 1.0.
amin (float, optional): Minimum threshold. Defaults to 1e-10.
top_db (Optional[float], optional): Threshold the output at `top_db` below the peak. Defaults to 80.0.
This function is aligned with librosa. Returns:
np.ndarray: Power spectrogram in db scale.
""" """
spect = np.asarray(spect) spect = np.asarray(spect)
@ -394,49 +445,27 @@ def power_to_db(spect: array,
return log_spec return log_spec
def mfcc(x, def mfcc(x: np.ndarray,
sr: int=16000, sr: int=16000,
spect: Optional[array]=None, spect: Optional[np.ndarray]=None,
n_mfcc: int=20, n_mfcc: int=20,
dct_type: int=2, dct_type: int=2,
norm: str="ortho", norm: str="ortho",
lifter: int=0, lifter: int=0,
**kwargs) -> array: **kwargs) -> np.ndarray:
"""Mel-frequency cepstral coefficients (MFCCs) """Mel-frequency cepstral coefficients (MFCCs)
This function is NOT strictly aligned with librosa. The following example shows how to get the Args:
same result with librosa: x (np.ndarray): Input waveform in one dimension.
sr (int, optional): Sample rate. Defaults to 16000.
# mfcc: spect (Optional[np.ndarray], optional): Input log-power Mel spectrogram. Defaults to None.
kwargs = { n_mfcc (int, optional): Number of cepstra in MFCC. Defaults to 20.
'window_size':512, dct_type (int, optional): Discrete cosine transform (DCT) type. Defaults to 2.
'hop_length':320, norm (str, optional): Type of normalization. Defaults to "ortho".
'mel_bins':64, lifter (int, optional): Cepstral filtering. Defaults to 0.
'fmin':50,
'to_db':False}
a = mfcc(x,
spect=None,
n_mfcc=20,
dct_type=2,
norm='ortho',
lifter=0,
**kwargs)
# librosa mfcc:
spect = librosa.feature.melspectrogram(y=x,sr=16000,n_fft=512,
win_length=512,
hop_length=320,
n_mels=64, fmin=50)
b = librosa.feature.mfcc(y=x,
sr=16000,
S=spect,
n_mfcc=20,
dct_type=2,
norm='ortho',
lifter=0)
assert np.mean( (a-b)**2) < 1e-8
Returns:
np.ndarray: Mel frequency cepstral coefficients array with shape `(n_mfcc, num_frames)`.
""" """
if spect is None: if spect is None:
spect = melspectrogram(x, sr=sr, **kwargs) spect = melspectrogram(x, sr=sr, **kwargs)
@ -454,12 +483,12 @@ def mfcc(x,
f"MFCC lifter={lifter} must be a non-negative number") f"MFCC lifter={lifter} must be a non-negative number")
def melspectrogram(x: array, def melspectrogram(x: np.ndarray,
sr: int=16000, sr: int=16000,
window_size: int=512, window_size: int=512,
hop_length: int=320, hop_length: int=320,
n_mels: int=64, n_mels: int=64,
fmin: int=50, fmin: float=50.0,
fmax: Optional[float]=None, fmax: Optional[float]=None,
window: str='hann', window: str='hann',
center: bool=True, center: bool=True,
@ -468,27 +497,28 @@ def melspectrogram(x: array,
to_db: bool=True, to_db: bool=True,
ref: float=1.0, ref: float=1.0,
amin: float=1e-10, amin: float=1e-10,
top_db: Optional[float]=None) -> array: top_db: Optional[float]=None) -> np.ndarray:
"""Compute mel-spectrogram. """Compute mel-spectrogram.
Parameters: Args:
x: numpy.ndarray x (np.ndarray): Input waveform in one dimension.
The input wavform is a numpy array [shape=(n,)] sr (int, optional): Sample rate. Defaults to 16000.
window_size (int, optional): Size of FFT and window length. Defaults to 512.
window_size: int, typically 512, 1024, 2048, etc. hop_length (int, optional): Number of steps to advance between adjacent windows. Defaults to 320.
The window size for framing, also used as n_fft for stft n_mels (int, optional): Number of mel bins. Defaults to 64.
fmin (float, optional): Minimum frequency in Hz. Defaults to 50.0.
fmax (Optional[float], optional): Maximum frequency in Hz. Defaults to None.
window (str, optional): A string of window specification. Defaults to "hann".
center (bool, optional): Whether to pad `x` to make that the :math:`t \times hop\_length` at the center of `t`-th frame. Defaults to True.
pad_mode (str, optional): Choose padding pattern when `center` is `True`. Defaults to "reflect".
power (float, optional): Exponent for the magnitude melspectrogram. Defaults to 2.0.
to_db (bool, optional): Enable db scale. Defaults to True.
ref (float, optional): The reference value. If smaller than 1.0, the db level of the signal will be pulled up accordingly. Otherwise, the db level is pushed down. Defaults to 1.0.
amin (float, optional): Minimum threshold. Defaults to 1e-10.
top_db (Optional[float], optional): Threshold the output at `top_db` below the peak. Defaults to None.
Returns: Returns:
The mel-spectrogram in power scale or db scale(default) np.ndarray: The mel-spectrogram in power scale or db scale with shape `(n_mels, num_frames)`.
Notes:
1. sr is default to 16000, which is commonly used in speech/speaker processing.
2. when fmax is None, it is set to sr//2.
3. this function will convert mel spectgrum to db scale by default. This is different
that of librosa.
""" """
_check_audio(x, mono=True) _check_audio(x, mono=True)
if len(x) <= 0: if len(x) <= 0:
@ -518,18 +548,28 @@ def melspectrogram(x: array,
return mel_spect return mel_spect
def spectrogram(x: array, def spectrogram(x: np.ndarray,
sr: int=16000, sr: int=16000,
window_size: int=512, window_size: int=512,
hop_length: int=320, hop_length: int=320,
window: str='hann', window: str='hann',
center: bool=True, center: bool=True,
pad_mode: str='reflect', pad_mode: str='reflect',
power: float=2.0) -> array: power: float=2.0) -> np.ndarray:
"""Compute spectrogram from an input waveform. """Compute spectrogram.
Args:
x (np.ndarray): Input waveform in one dimension.
sr (int, optional): Sample rate. Defaults to 16000.
window_size (int, optional): Size of FFT and window length. Defaults to 512.
hop_length (int, optional): Number of steps to advance between adjacent windows. Defaults to 320.
window (str, optional): A string of window specification. Defaults to "hann".
center (bool, optional): Whether to pad `x` to make that the :math:`t \times hop\_length` at the center of `t`-th frame. Defaults to True.
pad_mode (str, optional): Choose padding pattern when `center` is `True`. Defaults to "reflect".
power (float, optional): Exponent for the magnitude melspectrogram. Defaults to 2.0.
This function is a wrapper for librosa.feature.stft, with addition step to Returns:
compute the magnitude of the complex spectrogram. np.ndarray: The STFT spectrogram in power scale `(n_fft//2 + 1, num_frames)`.
""" """
s = stft( s = stft(
@ -544,18 +584,16 @@ def spectrogram(x: array,
return np.abs(s)**power return np.abs(s)**power
def mu_encode(x: array, mu: int=255, quantized: bool=True) -> array: def mu_encode(x: np.ndarray, mu: int=255, quantized: bool=True) -> np.ndarray:
"""Mu-law encoding. """Mu-law encoding. Encode waveform based on mu-law companding. When quantized is True, the result will be converted to integer in range `[0,mu-1]`. Otherwise, the resulting waveform is in range `[-1,1]`.
Compute the mu-law decoding given an input code.
When quantized is True, the result will be converted to
integer in range [0,mu-1]. Otherwise, the resulting signal
is in range [-1,1]
Reference: Args:
https://en.wikipedia.org/wiki/%CE%9C-law_algorithm x (np.ndarray): The input waveform to encode.
mu (int, optional): The endoceding parameter. Defaults to 255.
quantized (bool, optional): If `True`, quantize the encoded values into `1 + mu` distinct integer values. Defaults to True.
Returns:
np.ndarray: The mu-law encoded waveform.
""" """
mu = 255 mu = 255
y = np.sign(x) * np.log1p(mu * np.abs(x)) / np.log1p(mu) y = np.sign(x) * np.log1p(mu * np.abs(x)) / np.log1p(mu)
@ -564,17 +602,16 @@ def mu_encode(x: array, mu: int=255, quantized: bool=True) -> array:
return y return y
def mu_decode(y: array, mu: int=255, quantized: bool=True) -> array: def mu_decode(y: np.ndarray, mu: int=255, quantized: bool=True) -> np.ndarray:
"""Mu-law decoding. """Mu-law decoding. Compute the mu-law decoding given an input code. It assumes that the input `y` is in range `[0,mu-1]` when quantize is True and `[-1,1]` otherwise.
Compute the mu-law decoding given an input code.
it assumes that the input y is in Args:
range [0,mu-1] when quantize is True and [-1,1] otherwise y (np.ndarray): The encoded waveform.
mu (int, optional): The endoceding parameter. Defaults to 255.
Reference: quantized (bool, optional): If `True`, the input is assumed to be quantized to `1 + mu` distinct integer values. Defaults to True.
https://en.wikipedia.org/wiki/%CE%9C-law_algorithm
Returns:
np.ndarray: The mu-law decoded waveform.
""" """
if mu < 1: if mu < 1:
raise ParameterError('mu is typically set as 2**k-1, k=1, 2, 3,...') raise ParameterError('mu is typically set as 2**k-1, k=1, 2, 3,...')
@ -586,7 +623,7 @@ def mu_decode(y: array, mu: int=255, quantized: bool=True) -> array:
return x return x
def randint(high: int) -> int: def _randint(high: int) -> int:
"""Generate one random integer in range [0 high) """Generate one random integer in range [0 high)
This is a helper function for random data augmentaiton This is a helper function for random data augmentaiton
@ -594,20 +631,18 @@ def randint(high: int) -> int:
return int(np.random.randint(0, high=high)) return int(np.random.randint(0, high=high))
def rand() -> float: def depth_augment(y: np.ndarray,
"""Generate one floating-point number in range [0 1)
This is a helper function for random data augmentaiton
"""
return float(np.random.rand(1))
def depth_augment(y: array,
choices: List=['int8', 'int16'], choices: List=['int8', 'int16'],
probs: List[float]=[0.5, 0.5]) -> array: probs: List[float]=[0.5, 0.5]) -> np.ndarray:
""" Audio depth augmentation """ Audio depth augmentation. Do audio depth augmentation to simulate the distortion brought by quantization.
Args:
y (np.ndarray): Input waveform array in 1D or 2D.
choices (List, optional): A list of data type to depth conversion. Defaults to ['int8', 'int16'].
probs (List[float], optional): Probabilities to depth conversion. Defaults to [0.5, 0.5].
Do audio depth augmentation to simulate the distortion brought by quantization. Returns:
np.ndarray: The augmented waveform.
""" """
assert len(probs) == len( assert len(probs) == len(
choices choices
@ -621,13 +656,18 @@ def depth_augment(y: array,
return y2 return y2
def adaptive_spect_augment(spect: array, tempo_axis: int=0, def adaptive_spect_augment(spect: np.ndarray,
level: float=0.1) -> array: tempo_axis: int=0,
"""Do adpative spectrogram augmentation level: float=0.1) -> np.ndarray:
"""Do adpative spectrogram augmentation. The level of the augmentation is gowern by the paramter level, ranging from 0 to 1, with 0 represents no augmentation.
The level of the augmentation is gowern by the paramter level, Args:
ranging from 0 to 1, with 0 represents no augmentation spect (np.ndarray): Input spectrogram.
tempo_axis (int, optional): Indicate the tempo axis. Defaults to 0.
level (float, optional): The level factor of masking. Defaults to 0.1.
Returns:
np.ndarray: The augmented spectrogram.
""" """
assert spect.ndim == 2., 'only supports 2d tensor or numpy array' assert spect.ndim == 2., 'only supports 2d tensor or numpy array'
if tempo_axis == 0: if tempo_axis == 0:
@ -643,32 +683,40 @@ def adaptive_spect_augment(spect: array, tempo_axis: int=0,
if tempo_axis == 0: if tempo_axis == 0:
for _ in range(num_time_mask): for _ in range(num_time_mask):
start = randint(nt - time_mask_width) start = _randint(nt - time_mask_width)
spect[start:start + time_mask_width, :] = 0 spect[start:start + time_mask_width, :] = 0
for _ in range(num_freq_mask): for _ in range(num_freq_mask):
start = randint(nf - freq_mask_width) start = _randint(nf - freq_mask_width)
spect[:, start:start + freq_mask_width] = 0 spect[:, start:start + freq_mask_width] = 0
else: else:
for _ in range(num_time_mask): for _ in range(num_time_mask):
start = randint(nt - time_mask_width) start = _randint(nt - time_mask_width)
spect[:, start:start + time_mask_width] = 0 spect[:, start:start + time_mask_width] = 0
for _ in range(num_freq_mask): for _ in range(num_freq_mask):
start = randint(nf - freq_mask_width) start = _randint(nf - freq_mask_width)
spect[start:start + freq_mask_width, :] = 0 spect[start:start + freq_mask_width, :] = 0
return spect return spect
def spect_augment(spect: array, def spect_augment(spect: np.ndarray,
tempo_axis: int=0, tempo_axis: int=0,
max_time_mask: int=3, max_time_mask: int=3,
max_freq_mask: int=3, max_freq_mask: int=3,
max_time_mask_width: int=30, max_time_mask_width: int=30,
max_freq_mask_width: int=20) -> array: max_freq_mask_width: int=20) -> np.ndarray:
"""Do spectrogram augmentation in both time and freq axis """Do spectrogram augmentation in both time and freq axis.
Reference: Args:
spect (np.ndarray): Input spectrogram.
tempo_axis (int, optional): Indicate the tempo axis. Defaults to 0.
max_time_mask (int, optional): Maximum number of time masking. Defaults to 3.
max_freq_mask (int, optional): Maximum number of frenquence masking. Defaults to 3.
max_time_mask_width (int, optional): Maximum width of time masking. Defaults to 30.
max_freq_mask_width (int, optional): Maximum width of frenquence masking. Defaults to 20.
Returns:
np.ndarray: The augmented spectrogram.
""" """
assert spect.ndim == 2., 'only supports 2d tensor or numpy array' assert spect.ndim == 2., 'only supports 2d tensor or numpy array'
if tempo_axis == 0: if tempo_axis == 0:
@ -676,52 +724,64 @@ def spect_augment(spect: array,
else: else:
nf, nt = spect.shape nf, nt = spect.shape
num_time_mask = randint(max_time_mask) num_time_mask = _randint(max_time_mask)
num_freq_mask = randint(max_freq_mask) num_freq_mask = _randint(max_freq_mask)
time_mask_width = randint(max_time_mask_width) time_mask_width = _randint(max_time_mask_width)
freq_mask_width = randint(max_freq_mask_width) freq_mask_width = _randint(max_freq_mask_width)
if tempo_axis == 0: if tempo_axis == 0:
for _ in range(num_time_mask): for _ in range(num_time_mask):
start = randint(nt - time_mask_width) start = _randint(nt - time_mask_width)
spect[start:start + time_mask_width, :] = 0 spect[start:start + time_mask_width, :] = 0
for _ in range(num_freq_mask): for _ in range(num_freq_mask):
start = randint(nf - freq_mask_width) start = _randint(nf - freq_mask_width)
spect[:, start:start + freq_mask_width] = 0 spect[:, start:start + freq_mask_width] = 0
else: else:
for _ in range(num_time_mask): for _ in range(num_time_mask):
start = randint(nt - time_mask_width) start = _randint(nt - time_mask_width)
spect[:, start:start + time_mask_width] = 0 spect[:, start:start + time_mask_width] = 0
for _ in range(num_freq_mask): for _ in range(num_freq_mask):
start = randint(nf - freq_mask_width) start = _randint(nf - freq_mask_width)
spect[start:start + freq_mask_width, :] = 0 spect[start:start + freq_mask_width, :] = 0
return spect return spect
def random_crop1d(y: array, crop_len: int) -> array: def random_crop1d(y: np.ndarray, crop_len: int) -> np.ndarray:
""" Do random cropping on 1d input signal """ Random cropping on a input waveform.
The input is a 1d signal, typically a sound waveform Args:
y (np.ndarray): Input waveform array in 1D.
crop_len (int): Length of waveform to crop.
Returns:
np.ndarray: The cropped waveform.
""" """
if y.ndim != 1: if y.ndim != 1:
'only accept 1d tensor or numpy array' 'only accept 1d tensor or numpy array'
n = len(y) n = len(y)
idx = randint(n - crop_len) idx = _randint(n - crop_len)
return y[idx:idx + crop_len] return y[idx:idx + crop_len]
def random_crop2d(s: array, crop_len: int, tempo_axis: int=0) -> array: def random_crop2d(s: np.ndarray, crop_len: int,
""" Do random cropping for 2D array, typically a spectrogram. tempo_axis: int=0) -> np.ndarray:
""" Random cropping on a spectrogram.
The cropping is done in temporal direction on the time-freq input signal. Args:
s (np.ndarray): Input spectrogram in 2D.
crop_len (int): Length of spectrogram to crop.
tempo_axis (int, optional): Indicate the tempo axis. Defaults to 0.
Returns:
np.ndarray: The cropped spectrogram.
""" """
if tempo_axis >= s.ndim: if tempo_axis >= s.ndim:
raise ParameterError('axis out of range') raise ParameterError('axis out of range')
n = s.shape[tempo_axis] n = s.shape[tempo_axis]
idx = randint(high=n - crop_len) idx = _randint(high=n - crop_len)
sli = [slice(None) for i in range(s.ndim)] sli = [slice(None) for i in range(s.ndim)]
sli[tempo_axis] = slice(idx, idx + crop_len) sli[tempo_axis] = slice(idx, idx + crop_len)
out = s[tuple(sli)] out = s[tuple(sli)]

@ -17,6 +17,7 @@ from typing import Union
import paddle import paddle
import paddle.nn as nn import paddle.nn as nn
from paddle import Tensor
from ..functional import compute_fbank_matrix from ..functional import compute_fbank_matrix
from ..functional import create_dct from ..functional import create_dct
@ -32,6 +33,20 @@ __all__ = [
class Spectrogram(nn.Layer): class Spectrogram(nn.Layer):
"""Compute spectrogram of given signals, typically audio waveforms.
The spectorgram is defined as the complex norm of the short-time Fourier transformation.
Args:
n_fft (int, optional): The number of frequency components of the discrete Fourier transform. Defaults to 512.
hop_length (Optional[int], optional): The hop length of the short time FFT. If `None`, it is set to `win_length//4`. Defaults to None.
win_length (Optional[int], optional): The window length of the short time FFT. If `None`, it is set to same as `n_fft`. Defaults to None.
window (str, optional): The window function applied to the signal before the Fourier transform. Supported window functions: 'hamming', 'hann', 'kaiser', 'gaussian', 'exponential', 'triang', 'bohman', 'blackman', 'cosine', 'tukey', 'taylor'. Defaults to 'hann'.
power (float, optional): Exponent for the magnitude spectrogram. Defaults to 2.0.
center (bool, optional): Whether to pad `x` to make that the :math:`t \times hop\_length` at the center of `t`-th frame. Defaults to True.
pad_mode (str, optional): Choose padding pattern when `center` is `True`. Defaults to 'reflect'.
dtype (str, optional): Data type of input and window. Defaults to 'float32'.
"""
def __init__(self, def __init__(self,
n_fft: int=512, n_fft: int=512,
hop_length: Optional[int]=None, hop_length: Optional[int]=None,
@ -40,34 +55,7 @@ class Spectrogram(nn.Layer):
power: float=2.0, power: float=2.0,
center: bool=True, center: bool=True,
pad_mode: str='reflect', pad_mode: str='reflect',
dtype: str=paddle.float32): dtype: str='float32') -> None:
"""Compute spectrogram of a given signal, typically an audio waveform.
The spectorgram is defined as the complex norm of the short-time
Fourier transformation.
Parameters:
n_fft (int): the number of frequency components of the discrete Fourier transform.
The default value is 2048,
hop_length (int|None): the hop length of the short time FFT. If None, it is set to win_length//4.
The default value is None.
win_length: the window length of the short time FFt. If None, it is set to same as n_fft.
The default value is None.
window (str): the name of the window function applied to the single before the Fourier transform.
The folllowing window names are supported: 'hamming','hann','kaiser','gaussian',
'exponential','triang','bohman','blackman','cosine','tukey','taylor'.
The default value is 'hann'
power (float): Exponent for the magnitude spectrogram. The default value is 2.0.
center (bool): if True, the signal is padded so that frame t is centered at x[t * hop_length].
If False, frame t begins at x[t * hop_length]
The default value is True
pad_mode (str): the mode to pad the signal if necessary. The supported modes are 'reflect'
and 'constant'. The default value is 'reflect'.
dtype (str): the data type of input and window.
Notes:
The Spectrogram transform relies on STFT transform to compute the spectrogram.
By default, the weights are not learnable. To fine-tune the Fourier coefficients,
set stop_gradient=False before training.
For more information, see STFT().
"""
super(Spectrogram, self).__init__() super(Spectrogram, self).__init__()
assert power > 0, 'Power of spectrogram must be > 0.' assert power > 0, 'Power of spectrogram must be > 0.'
@ -88,13 +76,39 @@ class Spectrogram(nn.Layer):
pad_mode=pad_mode) pad_mode=pad_mode)
self.register_buffer('fft_window', self.fft_window) self.register_buffer('fft_window', self.fft_window)
def forward(self, x): def forward(self, x: Tensor) -> Tensor:
"""
Args:
x (Tensor): Tensor of waveforms with shape `(N, T)`
Returns:
Tensor: Spectrograms with shape `(N, n_fft//2 + 1, num_frames)`.
"""
stft = self._stft(x) stft = self._stft(x)
spectrogram = paddle.pow(paddle.abs(stft), self.power) spectrogram = paddle.pow(paddle.abs(stft), self.power)
return spectrogram return spectrogram
class MelSpectrogram(nn.Layer): class MelSpectrogram(nn.Layer):
"""Compute the melspectrogram of given signals, typically audio waveforms. It is computed by multiplying spectrogram with Mel filter bank matrix.
Args:
sr (int, optional): Sample rate. Defaults to 22050.
n_fft (int, optional): The number of frequency components of the discrete Fourier transform. Defaults to 512.
hop_length (Optional[int], optional): The hop length of the short time FFT. If `None`, it is set to `win_length//4`. Defaults to None.
win_length (Optional[int], optional): The window length of the short time FFT. If `None`, it is set to same as `n_fft`. Defaults to None.
window (str, optional): The window function applied to the signal before the Fourier transform. Supported window functions: 'hamming', 'hann', 'kaiser', 'gaussian', 'exponential', 'triang', 'bohman', 'blackman', 'cosine', 'tukey', 'taylor'. Defaults to 'hann'.
power (float, optional): Exponent for the magnitude spectrogram. Defaults to 2.0.
center (bool, optional): Whether to pad `x` to make that the :math:`t \times hop\_length` at the center of `t`-th frame. Defaults to True.
pad_mode (str, optional): Choose padding pattern when `center` is `True`. Defaults to 'reflect'.
n_mels (int, optional): Number of mel bins. Defaults to 64.
f_min (float, optional): Minimum frequency in Hz. Defaults to 50.0.
f_max (Optional[float], optional): Maximum frequency in Hz. Defaults to None.
htk (bool, optional): Use HTK formula in computing fbank matrix. Defaults to False.
norm (Union[str, float], optional): Type of normalization in computing fbank matrix. Slaney-style is used by default. You can specify norm=1.0/2.0 to use customized p-norm normalization. Defaults to 'slaney'.
dtype (str, optional): Data type of input and window. Defaults to 'float32'.
"""
def __init__(self, def __init__(self,
sr: int=22050, sr: int=22050,
n_fft: int=512, n_fft: int=512,
@ -109,39 +123,7 @@ class MelSpectrogram(nn.Layer):
f_max: Optional[float]=None, f_max: Optional[float]=None,
htk: bool=False, htk: bool=False,
norm: Union[str, float]='slaney', norm: Union[str, float]='slaney',
dtype: str=paddle.float32): dtype: str='float32') -> None:
"""Compute the melspectrogram of a given signal, typically an audio waveform.
The melspectrogram is also known as filterbank or fbank feature in audio community.
It is computed by multiplying spectrogram with Mel filter bank matrix.
Parameters:
sr(int): the audio sample rate.
The default value is 22050.
n_fft(int): the number of frequency components of the discrete Fourier transform.
The default value is 2048,
hop_length(int|None): the hop length of the short time FFT. If None, it is set to win_length//4.
The default value is None.
win_length: the window length of the short time FFt. If None, it is set to same as n_fft.
The default value is None.
window(str): the name of the window function applied to the single before the Fourier transform.
The folllowing window names are supported: 'hamming','hann','kaiser','gaussian',
'exponential','triang','bohman','blackman','cosine','tukey','taylor'.
The default value is 'hann'
power (float): Exponent for the magnitude spectrogram. The default value is 2.0.
center(bool): if True, the signal is padded so that frame t is centered at x[t * hop_length].
If False, frame t begins at x[t * hop_length]
The default value is True
pad_mode(str): the mode to pad the signal if necessary. The supported modes are 'reflect'
and 'constant'.
The default value is 'reflect'.
n_mels(int): the mel bins.
f_min(float): the lower cut-off frequency, below which the filter response is zero.
f_max(float): the upper cut-off frequency, above which the filter response is zeros.
htk(bool): whether to use HTK formula in computing fbank matrix.
norm(str|float): the normalization type in computing fbank matrix. Slaney-style is used by default.
You can specify norm=1.0/2.0 to use customized p-norm normalization.
dtype(str): the datatype of fbank matrix used in the transform. Use float64 to increase numerical
accuracy. Note that the final transform will be conducted in float32 regardless of dtype of fbank matrix.
"""
super(MelSpectrogram, self).__init__() super(MelSpectrogram, self).__init__()
self._spectrogram = Spectrogram( self._spectrogram = Spectrogram(
@ -171,13 +153,42 @@ class MelSpectrogram(nn.Layer):
dtype=dtype) # float64 for better numerical results dtype=dtype) # float64 for better numerical results
self.register_buffer('fbank_matrix', self.fbank_matrix) self.register_buffer('fbank_matrix', self.fbank_matrix)
def forward(self, x): def forward(self, x: Tensor) -> Tensor:
"""
Args:
x (Tensor): Tensor of waveforms with shape `(N, T)`
Returns:
Tensor: Mel spectrograms with shape `(N, n_mels, num_frames)`.
"""
spect_feature = self._spectrogram(x) spect_feature = self._spectrogram(x)
mel_feature = paddle.matmul(self.fbank_matrix, spect_feature) mel_feature = paddle.matmul(self.fbank_matrix, spect_feature)
return mel_feature return mel_feature
class LogMelSpectrogram(nn.Layer): class LogMelSpectrogram(nn.Layer):
"""Compute log-mel-spectrogram feature of given signals, typically audio waveforms.
Args:
sr (int, optional): Sample rate. Defaults to 22050.
n_fft (int, optional): The number of frequency components of the discrete Fourier transform. Defaults to 512.
hop_length (Optional[int], optional): The hop length of the short time FFT. If `None`, it is set to `win_length//4`. Defaults to None.
win_length (Optional[int], optional): The window length of the short time FFT. If `None`, it is set to same as `n_fft`. Defaults to None.
window (str, optional): The window function applied to the signal before the Fourier transform. Supported window functions: 'hamming', 'hann', 'kaiser', 'gaussian', 'exponential', 'triang', 'bohman', 'blackman', 'cosine', 'tukey', 'taylor'. Defaults to 'hann'.
power (float, optional): Exponent for the magnitude spectrogram. Defaults to 2.0.
center (bool, optional): Whether to pad `x` to make that the :math:`t \times hop\_length` at the center of `t`-th frame. Defaults to True.
pad_mode (str, optional): Choose padding pattern when `center` is `True`. Defaults to 'reflect'.
n_mels (int, optional): Number of mel bins. Defaults to 64.
f_min (float, optional): Minimum frequency in Hz. Defaults to 50.0.
f_max (Optional[float], optional): Maximum frequency in Hz. Defaults to None.
htk (bool, optional): Use HTK formula in computing fbank matrix. Defaults to False.
norm (Union[str, float], optional): Type of normalization in computing fbank matrix. Slaney-style is used by default. You can specify norm=1.0/2.0 to use customized p-norm normalization. Defaults to 'slaney'.
ref_value (float, optional): The reference value. If smaller than 1.0, the db level of the signal will be pulled up accordingly. Otherwise, the db level is pushed down. Defaults to 1.0.
amin (float, optional): The minimum value of input magnitude. Defaults to 1e-10.
top_db (Optional[float], optional): The maximum db value of spectrogram. Defaults to None.
dtype (str, optional): Data type of input and window. Defaults to 'float32'.
"""
def __init__(self, def __init__(self,
sr: int=22050, sr: int=22050,
n_fft: int=512, n_fft: int=512,
@ -195,41 +206,7 @@ class LogMelSpectrogram(nn.Layer):
ref_value: float=1.0, ref_value: float=1.0,
amin: float=1e-10, amin: float=1e-10,
top_db: Optional[float]=None, top_db: Optional[float]=None,
dtype: str=paddle.float32): dtype: str='float32') -> None:
"""Compute log-mel-spectrogram(also known as LogFBank) feature of a given signal,
typically an audio waveform.
Parameters:
sr (int): the audio sample rate.
The default value is 22050.
n_fft (int): the number of frequency components of the discrete Fourier transform.
The default value is 2048,
hop_length (int|None): the hop length of the short time FFT. If None, it is set to win_length//4.
The default value is None.
win_length: the window length of the short time FFt. If None, it is set to same as n_fft.
The default value is None.
window (str): the name of the window function applied to the single before the Fourier transform.
The folllowing window names are supported: 'hamming','hann','kaiser','gaussian',
'exponential','triang','bohman','blackman','cosine','tukey','taylor'.
The default value is 'hann'
center (bool): if True, the signal is padded so that frame t is centered at x[t * hop_length].
If False, frame t begins at x[t * hop_length]
The default value is True
pad_mode (str): the mode to pad the signal if necessary. The supported modes are 'reflect'
and 'constant'.
The default value is 'reflect'.
n_mels (int): the mel bins.
f_min (float): the lower cut-off frequency, below which the filter response is zero.
f_max (float): the upper cut-off frequency, above which the filter response is zeros.
htk (bool): whether to use HTK formula in computing fbank matrix.
norm (str|float): the normalization type in computing fbank matrix. Slaney-style is used by default.
You can specify norm=1.0/2.0 to use customized p-norm normalization.
ref_value (float): the reference value. If smaller than 1.0, the db level of the signal will be pulled up accordingly. Otherwise, the db level is pushed down.
amin (float): the minimum value of input magnitude, below which the input magnitude is clipped(to amin).
top_db (float): the maximum db value of resulting spectrum, above which the
spectrum is clipped(to top_db).
dtype (str): the datatype of fbank matrix used in the transform. Use float64 to increase numerical
accuracy. Note that the final transform will be conducted in float32 regardless of dtype of fbank matrix.
"""
super(LogMelSpectrogram, self).__init__() super(LogMelSpectrogram, self).__init__()
self._melspectrogram = MelSpectrogram( self._melspectrogram = MelSpectrogram(
@ -252,7 +229,14 @@ class LogMelSpectrogram(nn.Layer):
self.amin = amin self.amin = amin
self.top_db = top_db self.top_db = top_db
def forward(self, x): def forward(self, x: Tensor) -> Tensor:
"""
Args:
x (Tensor): Tensor of waveforms with shape `(N, T)`
Returns:
Tensor: Log mel spectrograms with shape `(N, n_mels, num_frames)`.
"""
mel_feature = self._melspectrogram(x) mel_feature = self._melspectrogram(x)
log_mel_feature = power_to_db( log_mel_feature = power_to_db(
mel_feature, mel_feature,
@ -263,6 +247,29 @@ class LogMelSpectrogram(nn.Layer):
class MFCC(nn.Layer): class MFCC(nn.Layer):
"""Compute mel frequency cepstral coefficients(MFCCs) feature of given waveforms.
Args:
sr (int, optional): Sample rate. Defaults to 22050.
n_mfcc (int, optional): [description]. Defaults to 40.
n_fft (int, optional): The number of frequency components of the discrete Fourier transform. Defaults to 512.
hop_length (Optional[int], optional): The hop length of the short time FFT. If `None`, it is set to `win_length//4`. Defaults to None.
win_length (Optional[int], optional): The window length of the short time FFT. If `None`, it is set to same as `n_fft`. Defaults to None.
window (str, optional): The window function applied to the signal before the Fourier transform. Supported window functions: 'hamming', 'hann', 'kaiser', 'gaussian', 'exponential', 'triang', 'bohman', 'blackman', 'cosine', 'tukey', 'taylor'. Defaults to 'hann'.
power (float, optional): Exponent for the magnitude spectrogram. Defaults to 2.0.
center (bool, optional): Whether to pad `x` to make that the :math:`t \times hop\_length` at the center of `t`-th frame. Defaults to True.
pad_mode (str, optional): Choose padding pattern when `center` is `True`. Defaults to 'reflect'.
n_mels (int, optional): Number of mel bins. Defaults to 64.
f_min (float, optional): Minimum frequency in Hz. Defaults to 50.0.
f_max (Optional[float], optional): Maximum frequency in Hz. Defaults to None.
htk (bool, optional): Use HTK formula in computing fbank matrix. Defaults to False.
norm (Union[str, float], optional): Type of normalization in computing fbank matrix. Slaney-style is used by default. You can specify norm=1.0/2.0 to use customized p-norm normalization. Defaults to 'slaney'.
ref_value (float, optional): The reference value. If smaller than 1.0, the db level of the signal will be pulled up accordingly. Otherwise, the db level is pushed down. Defaults to 1.0.
amin (float, optional): The minimum value of input magnitude. Defaults to 1e-10.
top_db (Optional[float], optional): The maximum db value of spectrogram. Defaults to None.
dtype (str, optional): Data type of input and window. Defaults to 'float32'.
"""
def __init__(self, def __init__(self,
sr: int=22050, sr: int=22050,
n_mfcc: int=40, n_mfcc: int=40,
@ -281,43 +288,7 @@ class MFCC(nn.Layer):
ref_value: float=1.0, ref_value: float=1.0,
amin: float=1e-10, amin: float=1e-10,
top_db: Optional[float]=None, top_db: Optional[float]=None,
dtype: str=paddle.float32): dtype: str=paddle.float32) -> None:
"""Compute mel frequency cepstral coefficients(MFCCs) feature of given waveforms.
Parameters:
sr(int): the audio sample rate.
The default value is 22050.
n_mfcc (int, optional): Number of cepstra in MFCC. Defaults to 40.
n_fft (int): the number of frequency components of the discrete Fourier transform.
The default value is 2048,
hop_length (int|None): the hop length of the short time FFT. If None, it is set to win_length//4.
The default value is None.
win_length: the window length of the short time FFt. If None, it is set to same as n_fft.
The default value is None.
window (str): the name of the window function applied to the single before the Fourier transform.
The folllowing window names are supported: 'hamming','hann','kaiser','gaussian',
'exponential','triang','bohman','blackman','cosine','tukey','taylor'.
The default value is 'hann'
power (float): Exponent for the magnitude spectrogram. The default value is 2.0.
center (bool): if True, the signal is padded so that frame t is centered at x[t * hop_length].
If False, frame t begins at x[t * hop_length]
The default value is True
pad_mode (str): the mode to pad the signal if necessary. The supported modes are 'reflect'
and 'constant'.
The default value is 'reflect'.
n_mels (int): the mel bins.
f_min (float): the lower cut-off frequency, below which the filter response is zero.
f_max (float): the upper cut-off frequency, above which the filter response is zeros.
htk (bool): whether to use HTK formula in computing fbank matrix.
norm (str|float): the normalization type in computing fbank matrix. Slaney-style is used by default.
You can specify norm=1.0/2.0 to use customized p-norm normalization.
ref_value (float): the reference value. If smaller than 1.0, the db level of the signal will be pulled up accordingly. Otherwise, the db level is pushed down.
amin (float): the minimum value of input magnitude, below which the input magnitude is clipped(to amin).
top_db (float): the maximum db value of resulting spectrum, above which the
spectrum is clipped(to top_db).
dtype (str): the datatype of fbank matrix used in the transform. Use float64 to increase numerical
accuracy. Note that the final transform will be conducted in float32 regardless of dtype of fbank matrix.
"""
super(MFCC, self).__init__() super(MFCC, self).__init__()
assert n_mfcc <= n_mels, 'n_mfcc cannot be larger than n_mels: %d vs %d' % ( assert n_mfcc <= n_mels, 'n_mfcc cannot be larger than n_mels: %d vs %d' % (
n_mfcc, n_mels) n_mfcc, n_mels)
@ -342,7 +313,14 @@ class MFCC(nn.Layer):
self.dct_matrix = create_dct(n_mfcc=n_mfcc, n_mels=n_mels, dtype=dtype) self.dct_matrix = create_dct(n_mfcc=n_mfcc, n_mels=n_mels, dtype=dtype)
self.register_buffer('dct_matrix', self.dct_matrix) self.register_buffer('dct_matrix', self.dct_matrix)
def forward(self, x): def forward(self, x: Tensor) -> Tensor:
"""
Args:
x (Tensor): Tensor of waveforms with shape `(N, T)`
Returns:
Tensor: Mel frequency cepstral coefficients with shape `(N, n_mfcc, num_frames)`.
"""
log_mel_feature = self._log_melspectrogram(x) log_mel_feature = self._log_melspectrogram(x)
mfcc = paddle.matmul( mfcc = paddle.matmul(
log_mel_feature.transpose((0, 2, 1)), self.dct_matrix).transpose( log_mel_feature.transpose((0, 2, 1)), self.dct_matrix).transpose(

@ -17,6 +17,7 @@ from typing import Optional
from typing import Union from typing import Union
import paddle import paddle
from paddle import Tensor
__all__ = [ __all__ = [
'hz_to_mel', 'hz_to_mel',
@ -29,19 +30,20 @@ __all__ = [
] ]
def hz_to_mel(freq: Union[paddle.Tensor, float], def hz_to_mel(freq: Union[Tensor, float],
htk: bool=False) -> Union[paddle.Tensor, float]: htk: bool=False) -> Union[Tensor, float]:
"""Convert Hz to Mels. """Convert Hz to Mels.
Parameters:
freq: the input tensor of arbitrary shape, or a single floating point number. Args:
htk: use HTK formula to do the conversion. freq (Union[Tensor, float]): The input tensor with arbitrary shape.
The default value is False. htk (bool, optional): Use htk scaling. Defaults to False.
Returns: Returns:
The frequencies represented in Mel-scale. Union[Tensor, float]: Frequency in mels.
""" """
if htk: if htk:
if isinstance(freq, paddle.Tensor): if isinstance(freq, Tensor):
return 2595.0 * paddle.log10(1.0 + freq / 700.0) return 2595.0 * paddle.log10(1.0 + freq / 700.0)
else: else:
return 2595.0 * math.log10(1.0 + freq / 700.0) return 2595.0 * math.log10(1.0 + freq / 700.0)
@ -58,7 +60,7 @@ def hz_to_mel(freq: Union[paddle.Tensor, float],
min_log_mel = (min_log_hz - f_min) / f_sp # same (Mels) min_log_mel = (min_log_hz - f_min) / f_sp # same (Mels)
logstep = math.log(6.4) / 27.0 # step size for log region logstep = math.log(6.4) / 27.0 # step size for log region
if isinstance(freq, paddle.Tensor): if isinstance(freq, Tensor):
target = min_log_mel + paddle.log( target = min_log_mel + paddle.log(
freq / min_log_hz + 1e-10) / logstep # prevent nan with 1e-10 freq / min_log_hz + 1e-10) / logstep # prevent nan with 1e-10
mask = (freq > min_log_hz).astype(freq.dtype) mask = (freq > min_log_hz).astype(freq.dtype)
@ -71,14 +73,16 @@ def hz_to_mel(freq: Union[paddle.Tensor, float],
return mels return mels
def mel_to_hz(mel: Union[float, paddle.Tensor], def mel_to_hz(mel: Union[float, Tensor],
htk: bool=False) -> Union[float, paddle.Tensor]: htk: bool=False) -> Union[float, Tensor]:
"""Convert mel bin numbers to frequencies. """Convert mel bin numbers to frequencies.
Parameters:
mel: the mel frequency represented as a tensor of arbitrary shape, or a floating point number. Args:
htk: use HTK formula to do the conversion. mel (Union[float, Tensor]): The mel frequency represented as a tensor with arbitrary shape.
htk (bool, optional): Use htk scaling. Defaults to False.
Returns: Returns:
The frequencies represented in hz. Union[float, Tensor]: Frequencies in Hz.
""" """
if htk: if htk:
return 700.0 * (10.0**(mel / 2595.0) - 1.0) return 700.0 * (10.0**(mel / 2595.0) - 1.0)
@ -90,7 +94,7 @@ def mel_to_hz(mel: Union[float, paddle.Tensor],
min_log_hz = 1000.0 # beginning of log region (Hz) min_log_hz = 1000.0 # beginning of log region (Hz)
min_log_mel = (min_log_hz - f_min) / f_sp # same (Mels) min_log_mel = (min_log_hz - f_min) / f_sp # same (Mels)
logstep = math.log(6.4) / 27.0 # step size for log region logstep = math.log(6.4) / 27.0 # step size for log region
if isinstance(mel, paddle.Tensor): if isinstance(mel, Tensor):
target = min_log_hz * paddle.exp(logstep * (mel - min_log_mel)) target = min_log_hz * paddle.exp(logstep * (mel - min_log_mel))
mask = (mel > min_log_mel).astype(mel.dtype) mask = (mel > min_log_mel).astype(mel.dtype)
freqs = target * mask + freqs * ( freqs = target * mask + freqs * (
@ -106,16 +110,18 @@ def mel_frequencies(n_mels: int=64,
f_min: float=0.0, f_min: float=0.0,
f_max: float=11025.0, f_max: float=11025.0,
htk: bool=False, htk: bool=False,
dtype: str=paddle.float32): dtype: str='float32') -> Tensor:
"""Compute mel frequencies. """Compute mel frequencies.
Parameters:
n_mels(int): number of Mel bins. Args:
f_min(float): the lower cut-off frequency, below which the filter response is zero. n_mels (int, optional): Number of mel bins. Defaults to 64.
f_max(float): the upper cut-off frequency, above which the filter response is zero. f_min (float, optional): Minimum frequency in Hz. Defaults to 0.0.
htk(bool): whether to use htk formula. fmax (float, optional): Maximum frequency in Hz. Defaults to 11025.0.
dtype(str): the datatype of the return frequencies. htk (bool, optional): Use htk scaling. Defaults to False.
dtype (str, optional): The data type of the return frequencies. Defaults to 'float32'.
Returns: Returns:
The frequencies represented in Mel-scale Tensor: Tensor of n_mels frequencies in Hz with shape `(n_mels,)`.
""" """
# 'Center freqs' of mel bands - uniformly spaced between limits # 'Center freqs' of mel bands - uniformly spaced between limits
min_mel = hz_to_mel(f_min, htk=htk) min_mel = hz_to_mel(f_min, htk=htk)
@ -125,14 +131,16 @@ def mel_frequencies(n_mels: int=64,
return freqs return freqs
def fft_frequencies(sr: int, n_fft: int, dtype: str=paddle.float32): def fft_frequencies(sr: int, n_fft: int, dtype: str='float32') -> Tensor:
"""Compute fourier frequencies. """Compute fourier frequencies.
Parameters:
sr(int): the audio sample rate. Args:
n_fft(float): the number of fft bins. sr (int): Sample rate.
dtype(str): the datatype of the return frequencies. n_fft (int): Number of fft bins.
dtype (str, optional): The data type of the return frequencies. Defaults to 'float32'.
Returns: Returns:
The frequencies represented in hz. Tensor: FFT frequencies in Hz with shape `(n_fft//2 + 1,)`.
""" """
return paddle.linspace(0, float(sr) / 2, int(1 + n_fft // 2), dtype=dtype) return paddle.linspace(0, float(sr) / 2, int(1 + n_fft // 2), dtype=dtype)
@ -144,23 +152,21 @@ def compute_fbank_matrix(sr: int,
f_max: Optional[float]=None, f_max: Optional[float]=None,
htk: bool=False, htk: bool=False,
norm: Union[str, float]='slaney', norm: Union[str, float]='slaney',
dtype: str=paddle.float32): dtype: str='float32') -> Tensor:
"""Compute fbank matrix. """Compute fbank matrix.
Parameters:
sr(int): the audio sample rate. Args:
n_fft(int): the number of fft bins. sr (int): Sample rate.
n_mels(int): the number of Mel bins. n_fft (int): Number of fft bins.
f_min(float): the lower cut-off frequency, below which the filter response is zero. n_mels (int, optional): Number of mel bins. Defaults to 64.
f_max(float): the upper cut-off frequency, above which the filter response is zero. f_min (float, optional): Minimum frequency in Hz. Defaults to 0.0.
htk: whether to use htk formula. f_max (Optional[float], optional): Maximum frequency in Hz. Defaults to None.
return_complex(bool): whether to return complex matrix. If True, the matrix will htk (bool, optional): Use htk scaling. Defaults to False.
be complex type. Otherwise, the real and image part will be stored in the last norm (Union[str, float], optional): Type of normalization. Defaults to 'slaney'.
axis of returned tensor. dtype (str, optional): The data type of the return matrix. Defaults to 'float32'.
dtype(str): the datatype of the returned fbank matrix.
Returns: Returns:
The fbank matrix of shape (n_mels, int(1+n_fft//2)). Tensor: Mel transform matrix with shape `(n_mels, n_fft//2 + 1)`.
Shape:
output: (n_mels, int(1+n_fft//2))
""" """
if f_max is None: if f_max is None:
@ -199,27 +205,20 @@ def compute_fbank_matrix(sr: int,
return weights return weights
def power_to_db(magnitude: paddle.Tensor, def power_to_db(spect: Tensor,
ref_value: float=1.0, ref_value: float=1.0,
amin: float=1e-10, amin: float=1e-10,
top_db: Optional[float]=None) -> paddle.Tensor: top_db: Optional[float]=None) -> Tensor:
"""Convert a power spectrogram (amplitude squared) to decibel (dB) units. """Convert a power spectrogram (amplitude squared) to decibel (dB) units. The function computes the scaling `10 * log10(x / ref)` in a numerically stable way.
The function computes the scaling ``10 * log10(x / ref)`` in a numerically
stable way. Args:
Parameters: spect (Tensor): STFT power spectrogram.
magnitude(Tensor): the input magnitude tensor of any shape. ref_value (float, optional): The reference value. If smaller than 1.0, the db level of the signal will be pulled up accordingly. Otherwise, the db level is pushed down. Defaults to 1.0.
ref_value(float): the reference value. If smaller than 1.0, the db level amin (float, optional): Minimum threshold. Defaults to 1e-10.
of the signal will be pulled up accordingly. Otherwise, the db level top_db (Optional[float], optional): Threshold the output at `top_db` below the peak. Defaults to None.
is pushed down.
amin(float): the minimum value of input magnitude, below which the input
magnitude is clipped(to amin).
top_db(float): the maximum db value of resulting spectrum, above which the
spectrum is clipped(to top_db).
Returns: Returns:
The spectrogram in log-scale. Tensor: Power spectrogram in db scale.
shape:
input: any shape
output: same as input
""" """
if amin <= 0: if amin <= 0:
raise Exception("amin must be strictly positive") raise Exception("amin must be strictly positive")
@ -227,8 +226,8 @@ def power_to_db(magnitude: paddle.Tensor,
if ref_value <= 0: if ref_value <= 0:
raise Exception("ref_value must be strictly positive") raise Exception("ref_value must be strictly positive")
ones = paddle.ones_like(magnitude) ones = paddle.ones_like(spect)
log_spec = 10.0 * paddle.log10(paddle.maximum(ones * amin, magnitude)) log_spec = 10.0 * paddle.log10(paddle.maximum(ones * amin, spect))
log_spec -= 10.0 * math.log10(max(ref_value, amin)) log_spec -= 10.0 * math.log10(max(ref_value, amin))
if top_db is not None: if top_db is not None:
@ -242,15 +241,17 @@ def power_to_db(magnitude: paddle.Tensor,
def create_dct(n_mfcc: int, def create_dct(n_mfcc: int,
n_mels: int, n_mels: int,
norm: Optional[str]='ortho', norm: Optional[str]='ortho',
dtype: Optional[str]=paddle.float32) -> paddle.Tensor: dtype: str='float32') -> Tensor:
"""Create a discrete cosine transform(DCT) matrix. """Create a discrete cosine transform(DCT) matrix.
Parameters: Args:
n_mfcc (int): Number of mel frequency cepstral coefficients. n_mfcc (int): Number of mel frequency cepstral coefficients.
n_mels (int): Number of mel filterbanks. n_mels (int): Number of mel filterbanks.
norm (str, optional): Normalizaiton type. Defaults to 'ortho'. norm (Optional[str], optional): Normalizaiton type. Defaults to 'ortho'.
dtype (str, optional): The data type of the return matrix. Defaults to 'float32'.
Returns: Returns:
Tensor: The DCT matrix with shape (n_mels, n_mfcc). Tensor: The DCT matrix with shape `(n_mels, n_mfcc)`.
""" """
n = paddle.arange(n_mels, dtype=dtype) n = paddle.arange(n_mels, dtype=dtype)
k = paddle.arange(n_mfcc, dtype=dtype).unsqueeze(1) k = paddle.arange(n_mfcc, dtype=dtype).unsqueeze(1)

@ -20,24 +20,11 @@ from paddle import Tensor
__all__ = [ __all__ = [
'get_window', 'get_window',
# windows
'taylor',
'hamming',
'hann',
'tukey',
'kaiser',
'gaussian',
'exponential',
'triang',
'bohman',
'blackman',
'cosine',
] ]
def _cat(a: List[Tensor], data_type: str) -> Tensor: def _cat(x: List[Tensor], data_type: str) -> Tensor:
l = [paddle.to_tensor(_a, data_type) for _a in a] l = [paddle.to_tensor(_, data_type) for _ in x]
return paddle.concat(l) return paddle.concat(l)
@ -48,7 +35,7 @@ def _acosh(x: Union[Tensor, float]) -> Tensor:
def _extend(M: int, sym: bool) -> bool: def _extend(M: int, sym: bool) -> bool:
"""Extend window by 1 sample if needed for DFT-even symmetry""" """Extend window by 1 sample if needed for DFT-even symmetry. """
if not sym: if not sym:
return M + 1, True return M + 1, True
else: else:
@ -56,7 +43,7 @@ def _extend(M: int, sym: bool) -> bool:
def _len_guards(M: int) -> bool: def _len_guards(M: int) -> bool:
"""Handle small or incorrect window lengths""" """Handle small or incorrect window lengths. """
if int(M) != M or M < 0: if int(M) != M or M < 0:
raise ValueError('Window length M must be a non-negative integer') raise ValueError('Window length M must be a non-negative integer')
@ -64,15 +51,15 @@ def _len_guards(M: int) -> bool:
def _truncate(w: Tensor, needed: bool) -> Tensor: def _truncate(w: Tensor, needed: bool) -> Tensor:
"""Truncate window by 1 sample if needed for DFT-even symmetry""" """Truncate window by 1 sample if needed for DFT-even symmetry. """
if needed: if needed:
return w[:-1] return w[:-1]
else: else:
return w return w
def general_gaussian(M: int, p, sig, sym: bool=True, def _general_gaussian(M: int, p, sig, sym: bool=True,
dtype: str='float64') -> Tensor: dtype: str='float64') -> Tensor:
"""Compute a window with a generalized Gaussian shape. """Compute a window with a generalized Gaussian shape.
This function is consistent with scipy.signal.windows.general_gaussian(). This function is consistent with scipy.signal.windows.general_gaussian().
""" """
@ -86,8 +73,8 @@ def general_gaussian(M: int, p, sig, sym: bool=True,
return _truncate(w, needs_trunc) return _truncate(w, needs_trunc)
def general_cosine(M: int, a: float, sym: bool=True, def _general_cosine(M: int, a: float, sym: bool=True,
dtype: str='float64') -> Tensor: dtype: str='float64') -> Tensor:
"""Compute a generic weighted sum of cosine terms window. """Compute a generic weighted sum of cosine terms window.
This function is consistent with scipy.signal.windows.general_cosine(). This function is consistent with scipy.signal.windows.general_cosine().
""" """
@ -101,31 +88,23 @@ def general_cosine(M: int, a: float, sym: bool=True,
return _truncate(w, needs_trunc) return _truncate(w, needs_trunc)
def general_hamming(M: int, alpha: float, sym: bool=True, def _general_hamming(M: int, alpha: float, sym: bool=True,
dtype: str='float64') -> Tensor: dtype: str='float64') -> Tensor:
"""Compute a generalized Hamming window. """Compute a generalized Hamming window.
This function is consistent with scipy.signal.windows.general_hamming() This function is consistent with scipy.signal.windows.general_hamming()
""" """
return general_cosine(M, [alpha, 1. - alpha], sym, dtype=dtype) return _general_cosine(M, [alpha, 1. - alpha], sym, dtype=dtype)
def taylor(M: int, def _taylor(M: int,
nbar=4, nbar=4,
sll=30, sll=30,
norm=True, norm=True,
sym: bool=True, sym: bool=True,
dtype: str='float64') -> Tensor: dtype: str='float64') -> Tensor:
"""Compute a Taylor window. """Compute a Taylor window.
The Taylor window taper function approximates the Dolph-Chebyshev window's The Taylor window taper function approximates the Dolph-Chebyshev window's
constant sidelobe level for a parameterized number of near-in sidelobes. constant sidelobe level for a parameterized number of near-in sidelobes.
Parameters:
M(int): window size
nbar, sil, norm: the window-specific parameter.
sym(bool)whether to return symmetric window.
The default value is True
dtype(str): the datatype of returned tensor.
Returns:
Tensor: the window tensor
""" """
if _len_guards(M): if _len_guards(M):
return paddle.ones((M, ), dtype=dtype) return paddle.ones((M, ), dtype=dtype)
@ -171,46 +150,25 @@ def taylor(M: int,
return _truncate(w, needs_trunc) return _truncate(w, needs_trunc)
def hamming(M: int, sym: bool=True, dtype: str='float64') -> Tensor: def _hamming(M: int, sym: bool=True, dtype: str='float64') -> Tensor:
"""Compute a Hamming window. """Compute a Hamming window.
The Hamming window is a taper formed by using a raised cosine with The Hamming window is a taper formed by using a raised cosine with
non-zero endpoints, optimized to minimize the nearest side lobe. non-zero endpoints, optimized to minimize the nearest side lobe.
Parameters:
M(int): window size
sym(bool)whether to return symmetric window.
The default value is True
dtype(str): the datatype of returned tensor.
Returns:
Tensor: the window tensor
""" """
return general_hamming(M, 0.54, sym, dtype=dtype) return _general_hamming(M, 0.54, sym, dtype=dtype)
def hann(M: int, sym: bool=True, dtype: str='float64') -> Tensor: def _hann(M: int, sym: bool=True, dtype: str='float64') -> Tensor:
"""Compute a Hann window. """Compute a Hann window.
The Hann window is a taper formed by using a raised cosine or sine-squared The Hann window is a taper formed by using a raised cosine or sine-squared
with ends that touch zero. with ends that touch zero.
Parameters:
M(int): window size
sym(bool)whether to return symmetric window.
The default value is True
dtype(str): the datatype of returned tensor.
Returns:
Tensor: the window tensor
""" """
return general_hamming(M, 0.5, sym, dtype=dtype) return _general_hamming(M, 0.5, sym, dtype=dtype)
def tukey(M: int, alpha=0.5, sym: bool=True, dtype: str='float64') -> Tensor: def _tukey(M: int, alpha=0.5, sym: bool=True, dtype: str='float64') -> Tensor:
"""Compute a Tukey window. """Compute a Tukey window.
The Tukey window is also known as a tapered cosine window. The Tukey window is also known as a tapered cosine window.
Parameters:
M(int): window size
sym(bool)whether to return symmetric window.
The default value is True
dtype(str): the datatype of returned tensor.
Returns:
Tensor: the window tensor
""" """
if _len_guards(M): if _len_guards(M):
return paddle.ones((M, ), dtype=dtype) return paddle.ones((M, ), dtype=dtype)
@ -237,32 +195,18 @@ def tukey(M: int, alpha=0.5, sym: bool=True, dtype: str='float64') -> Tensor:
return _truncate(w, needs_trunc) return _truncate(w, needs_trunc)
def kaiser(M: int, beta: float, sym: bool=True, dtype: str='float64') -> Tensor: def _kaiser(M: int, beta: float, sym: bool=True,
dtype: str='float64') -> Tensor:
"""Compute a Kaiser window. """Compute a Kaiser window.
The Kaiser window is a taper formed by using a Bessel function. The Kaiser window is a taper formed by using a Bessel function.
Parameters:
M(int): window size.
beta(float): the window-specific parameter.
sym(bool)whether to return symmetric window.
The default value is True
Returns:
Tensor: the window tensor
""" """
raise NotImplementedError() raise NotImplementedError()
def gaussian(M: int, std: float, sym: bool=True, def _gaussian(M: int, std: float, sym: bool=True,
dtype: str='float64') -> Tensor: dtype: str='float64') -> Tensor:
"""Compute a Gaussian window. """Compute a Gaussian window.
The Gaussian widows has a Gaussian shape defined by the standard deviation(std). The Gaussian widows has a Gaussian shape defined by the standard deviation(std).
Parameters:
M(int): window size.
std(float): the window-specific parameter.
sym(bool)whether to return symmetric window.
The default value is True
dtype(str): the datatype of returned tensor.
Returns:
Tensor: the window tensor
""" """
if _len_guards(M): if _len_guards(M):
return paddle.ones((M, ), dtype=dtype) return paddle.ones((M, ), dtype=dtype)
@ -275,21 +219,12 @@ def gaussian(M: int, std: float, sym: bool=True,
return _truncate(w, needs_trunc) return _truncate(w, needs_trunc)
def exponential(M: int, def _exponential(M: int,
center=None, center=None,
tau=1., tau=1.,
sym: bool=True, sym: bool=True,
dtype: str='float64') -> Tensor: dtype: str='float64') -> Tensor:
"""Compute an exponential (or Poisson) window. """Compute an exponential (or Poisson) window. """
Parameters:
M(int): window size.
tau(float): the window-specific parameter.
sym(bool)whether to return symmetric window.
The default value is True
dtype(str): the datatype of returned tensor.
Returns:
Tensor: the window tensor
"""
if sym and center is not None: if sym and center is not None:
raise ValueError("If sym==True, center must be None.") raise ValueError("If sym==True, center must be None.")
if _len_guards(M): if _len_guards(M):
@ -305,15 +240,8 @@ def exponential(M: int,
return _truncate(w, needs_trunc) return _truncate(w, needs_trunc)
def triang(M: int, sym: bool=True, dtype: str='float64') -> Tensor: def _triang(M: int, sym: bool=True, dtype: str='float64') -> Tensor:
"""Compute a triangular window. """Compute a triangular window.
Parameters:
M(int): window size.
sym(bool)whether to return symmetric window.
The default value is True
dtype(str): the datatype of returned tensor.
Returns:
Tensor: the window tensor
""" """
if _len_guards(M): if _len_guards(M):
return paddle.ones((M, ), dtype=dtype) return paddle.ones((M, ), dtype=dtype)
@ -330,16 +258,9 @@ def triang(M: int, sym: bool=True, dtype: str='float64') -> Tensor:
return _truncate(w, needs_trunc) return _truncate(w, needs_trunc)
def bohman(M: int, sym: bool=True, dtype: str='float64') -> Tensor: def _bohman(M: int, sym: bool=True, dtype: str='float64') -> Tensor:
"""Compute a Bohman window. """Compute a Bohman window.
The Bohman window is the autocorrelation of a cosine window. The Bohman window is the autocorrelation of a cosine window.
Parameters:
M(int): window size.
sym(bool)whether to return symmetric window.
The default value is True
dtype(str): the datatype of returned tensor.
Returns:
Tensor: the window tensor
""" """
if _len_guards(M): if _len_guards(M):
return paddle.ones((M, ), dtype=dtype) return paddle.ones((M, ), dtype=dtype)
@ -353,32 +274,18 @@ def bohman(M: int, sym: bool=True, dtype: str='float64') -> Tensor:
return _truncate(w, needs_trunc) return _truncate(w, needs_trunc)
def blackman(M: int, sym: bool=True, dtype: str='float64') -> Tensor: def _blackman(M: int, sym: bool=True, dtype: str='float64') -> Tensor:
"""Compute a Blackman window. """Compute a Blackman window.
The Blackman window is a taper formed by using the first three terms of The Blackman window is a taper formed by using the first three terms of
a summation of cosines. It was designed to have close to the minimal a summation of cosines. It was designed to have close to the minimal
leakage possible. It is close to optimal, only slightly worse than a leakage possible. It is close to optimal, only slightly worse than a
Kaiser window. Kaiser window.
Parameters:
M(int): window size.
sym(bool)whether to return symmetric window.
The default value is True
dtype(str): the datatype of returned tensor.
Returns:
Tensor: the window tensor
""" """
return general_cosine(M, [0.42, 0.50, 0.08], sym, dtype=dtype) return _general_cosine(M, [0.42, 0.50, 0.08], sym, dtype=dtype)
def cosine(M: int, sym: bool=True, dtype: str='float64') -> Tensor: def _cosine(M: int, sym: bool=True, dtype: str='float64') -> Tensor:
"""Compute a window with a simple cosine shape. """Compute a window with a simple cosine shape.
Parameters:
M(int): window size.
sym(bool)whether to return symmetric window.
The default value is True
dtype(str): the datatype of returned tensor.
Returns:
Tensor: the window tensor
""" """
if _len_guards(M): if _len_guards(M):
return paddle.ones((M, ), dtype=dtype) return paddle.ones((M, ), dtype=dtype)
@ -388,19 +295,20 @@ def cosine(M: int, sym: bool=True, dtype: str='float64') -> Tensor:
return _truncate(w, needs_trunc) return _truncate(w, needs_trunc)
## factory function
def get_window(window: Union[str, Tuple[str, float]], def get_window(window: Union[str, Tuple[str, float]],
win_length: int, win_length: int,
fftbins: bool=True, fftbins: bool=True,
dtype: str='float64') -> Tensor: dtype: str='float64') -> Tensor:
"""Return a window of a given length and type. """Return a window of a given length and type.
Parameters:
window(str|(str,float)): the type of window to create. Args:
win_length(int): the number of samples in the window. window (Union[str, Tuple[str, float]]): The window function applied to the signal before the Fourier transform. Supported window functions: 'hamming', 'hann', 'kaiser', 'gaussian', 'exponential', 'triang', 'bohman', 'blackman', 'cosine', 'tukey', 'taylor'.
fftbins(bool): If True, create a "periodic" window. Otherwise, win_length (int): Number of samples.
create a "symmetric" window, for use in filter design. fftbins (bool, optional): If True, create a "periodic" window. Otherwise, create a "symmetric" window, for use in filter design. Defaults to True.
dtype (str, optional): The data type of the return window. Defaults to 'float64'.
Returns: Returns:
The window represented as a tensor. Tensor: The window represented as a tensor.
""" """
sym = not fftbins sym = not fftbins
@ -420,7 +328,7 @@ def get_window(window: Union[str, Tuple[str, float]],
str(type(window))) str(type(window)))
try: try:
winfunc = eval(winstr) winfunc = eval('_' + winstr)
except KeyError as e: except KeyError as e:
raise ValueError("Unknown window type.") from e raise ValueError("Unknown window type.") from e

@ -20,9 +20,7 @@ __all__ = [
def dtw_distance(xs: np.ndarray, ys: np.ndarray) -> float: def dtw_distance(xs: np.ndarray, ys: np.ndarray) -> float:
"""dtw distance """Dynamic Time Warping.
Dynamic Time Warping.
This function keeps a compact matrix, not the full warping paths matrix. This function keeps a compact matrix, not the full warping paths matrix.
Uses dynamic programming to compute: Uses dynamic programming to compute:

@ -178,7 +178,8 @@ class BaseExecutor(ABC):
Returns: Returns:
bool: return `True` for job input, `False` otherwise. bool: return `True` for job input, `False` otherwise.
""" """
return input_ and os.path.isfile(input_) and input_.endswith('.job') return input_ and os.path.isfile(input_) and (input_.endswith('.job') or
input_.endswith('.txt'))
def _get_job_contents( def _get_job_contents(
self, job_input: os.PathLike) -> Dict[str, Union[str, os.PathLike]]: self, job_input: os.PathLike) -> Dict[str, Union[str, os.PathLike]]:

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