Python fftpack.dct方法代碼示例

# 需要導入模塊: from scipy import fftpack [as 別名]
# 或者: from scipy.fftpack import dct [as 別名]
def amplitudes_at_frequencies(freqInds, timeseries, times=None, transform='dct'):
    """
    Finds the amplitudes in the data at the specified frequency indices.
    Todo: better docstring. Currently only works for the DCT.
    """
    amplitudes = {}
    for o in timeseries.keys():

        if transform == 'dct':
            temp = _dct(timeseries[o], norm='ortho')[freqInds] / _np.sqrt(len(timeseries[o]) / 2)
            if 0. in freqInds:
                temp[0] = temp[0] / _np.sqrt(2)
            amplitudes[o] = list(temp)

        else:
            raise NotImplementedError("This function only currently works for the DCT!")

    return amplitudes 

# 需要導入模塊: from scipy import fftpack [as 別名]
# 或者: from scipy.fftpack import dct [as 別名]
def block_dct(x, block_size=8, masked=False, ratio=0.5):
    z = torch.zeros(x.size())
    num_blocks = int(x.size(2) / block_size)
    mask = np.zeros((x.size(0), x.size(1), block_size, block_size))
    mask[:, :, :int(block_size * ratio), :int(block_size * ratio)] = 1
    for i in range(num_blocks):
        for j in range(num_blocks):
            submat = x[:, :, (i * block_size):((i + 1) * block_size), (j * block_size):((j + 1) * block_size)].numpy()
            submat_dct = dct(dct(submat, axis=2, norm='ortho'), axis=3, norm='ortho')
            if masked:
                submat_dct = submat_dct * mask
            submat_dct = torch.from_numpy(submat_dct)
            z[:, :, (i * block_size):((i + 1) * block_size), (j * block_size):((j + 1) * block_size)] = submat_dct
    return z


# applies IDCT to each block of size block_size 

# 需要導入模塊: from scipy import fftpack [as 別名]
# 或者: from scipy.fftpack import dct [as 別名]
def run_fft_dct_example():
    random_state = np.random.RandomState(1999)

    fs, d = fetch_sample_speech_fruit()
    n_fft = 64
    X = d[0]
    X_stft = stft(X, n_fft)
    X_rr = complex_to_real_view(X_stft)
    X_dct = fftpack.dct(X_rr, axis=-1, norm='ortho')
    X_dct_sub = X_dct[1:] - X_dct[:-1]
    std = X_dct_sub.std(axis=0, keepdims=True)
    X_dct_sub += .01 * std * random_state.randn(
        X_dct_sub.shape[0], X_dct_sub.shape[1])
    X_dct_unsub = np.cumsum(X_dct_sub, axis=0)
    X_idct = fftpack.idct(X_dct_unsub, axis=-1, norm='ortho')
    X_irr = real_to_complex_view(X_idct)
    X_r = istft(X_irr, n_fft)[:len(X)]

    SNR = 20 * np.log10(np.linalg.norm(X - X_r) / np.linalg.norm(X))
    print(SNR)

    wavfile.write("fftdct_orig.wav", fs, soundsc(X))
    wavfile.write("fftdct_rec.wav", fs, soundsc(X_r)) 

# 需要導入模塊: from scipy import fftpack [as 別名]
# 或者: from scipy.fftpack import dct [as 別名]
def plot(self, ax=None, **kwargs):
        warnings.warn("Plotting the gammas and x_rotation_angles through DCT "
                      "and DST. If you are interested in v, u_singles and "
                      "u_pairs you can access them via params.v, "
                      "params.u_singles, params.u_pairs")
        if ax is None:
            fig, ax = plt.subplots()

        ax.plot(dct(self.v, n=self.n_steps),
                label="betas", marker="s", ls="", **kwargs)
        if not _is_iterable_empty(self.u_singles):
            ax.plot(dst(self.u_singles, n=self.n_steps),
                    label="gammas_singles", marker="^", ls="", **kwargs)
        if not _is_iterable_empty(self.u_pairs):
            ax.plot(dst(self.u_pairs, n=self.n_steps),
                    label="gammas_pairs", marker="v", ls="", **kwargs)
        ax.set_xlabel("timestep")
        ax.legend() 

# 需要導入模塊: from scipy import fftpack [as 別名]
# 或者: from scipy.fftpack import dct [as 別名]
def fourier_extended_to_extended(
        params: FourierExtendedParams) -> ExtendedParams:
    out = deepcopy(params)
    out.__class__ = ExtendedParams
    out.betas = dct(params.v, n=out.n_steps, axis=0)
    out.gammas_singles = dst(params.u_singles, n=out.n_steps, axis=0)
    out.gammas_pairs = dst(params.u_pairs, n=out.n_steps, axis=0)

    # and clean up
    del out.__u_singles
    del out.__u_pairs
    del out.__v
    del out.q

    return out


# #############################################################################
# And now all the possible compositions as well:
# Todo: Create this code automatically by traversing the tree?
# ############################################################################# 

# 需要導入模塊: from scipy import fftpack [as 別名]
# 或者: from scipy.fftpack import dct [as 別名]
def mfcc(signal,samplerate=16000,winlen=0.025,winstep=0.01,numcep=13,
          nfilt=26,nfft=512,lowfreq=0,highfreq=None,preemph=0.97,ceplifter=22,appendEnergy=True):
    """Compute MFCC features from an audio signal.

    :param signal: the audio signal from which to compute features. Should be an N*1 array
    :param samplerate: the samplerate of the signal we are working with.
    :param winlen: the length of the analysis window in seconds. Default is 0.025s (25 milliseconds)    
    :param winstep: the step between successive windows in seconds. Default is 0.01s (10 milliseconds)    
    :param numcep: the number of cepstrum to return, default 13    
    :param nfilt: the number of filters in the filterbank, default 26.
    :param nfft: the FFT size. Default is 512.
    :param lowfreq: lowest band edge of mel filters. In Hz, default is 0.
    :param highfreq: highest band edge of mel filters. In Hz, default is samplerate/2
    :param preemph: apply preemphasis filter with preemph as coefficient. 0 is no filter. Default is 0.97. 
    :param ceplifter: apply a lifter to final cepstral coefficients. 0 is no lifter. Default is 22. 
    :param appendEnergy: if this is true, the zeroth cepstral coefficient is replaced with the log of the total frame energy.
    :returns: A numpy array of size (NUMFRAMES by numcep) containing features. Each row holds 1 feature vector.
    """            
    feat,energy = fbank(signal,samplerate,winlen,winstep,nfilt,nfft,lowfreq,highfreq,preemph)
    feat = numpy.log(feat)
    feat = dct(feat, type=2, axis=1, norm='ortho')[:,:numcep]
    feat = lifter(feat,ceplifter)
    if appendEnergy: feat[:,0] = numpy.log(energy) # replace first cepstral coefficient with log of frame energy
    return feat 

# 需要導入模塊: from scipy import fftpack [as 別名]
# 或者: from scipy.fftpack import dct [as 別名]
def mfccVTLP(signal,samplerate=16000,winlen=0.025,winstep=0.01,numcep=13,
          nfilt=26,nfft=512,lowfreq=0,highfreq=None,preemph=0.97,ceplifter=22,appendEnergy=True, alpha=1.0):
    """Compute MFCC features from an audio signal.

    :param signal: the audio signal from which to compute features. Should be an N*1 array
    :param samplerate: the samplerate of the signal we are working with.
    :param winlen: the length of the analysis window in seconds. Default is 0.025s (25 milliseconds)
    :param winstep: the step between successive windows in seconds. Default is 0.01s (10 milliseconds)
    :param numcep: the number of cepstrum to return, default 13
    :param nfilt: the number of filters in the filterbank, default 26.
    :param nfft: the FFT size. Default is 512.
    :param lowfreq: lowest band edge of mel filters. In Hz, default is 0.
    :param highfreq: highest band edge of mel filters. In Hz, default is samplerate/2
    :param preemph: apply preemphasis filter with preemph as coefficient. 0 is no filter. Default is 0.97.
    :param ceplifter: apply a lifter to final cepstral coefficients. 0 is no lifter. Default is 22.
    :param appendEnergy: if this is true, the zeroth cepstral coefficient is replaced with the log of the total frame energy.
    :returns: A numpy array of size (NUMFRAMES by numcep) containing features. Each row holds 1 feature vector.
    """
    feat,energy = fbankVTLP(signal,samplerate,winlen,winstep,nfilt,nfft,lowfreq,highfreq,preemph,False,alpha)
    feat = numpy.log(feat)
    feat = dct(feat, type=2, axis=1, norm='ortho')[:,:numcep]
    feat = lifter(feat,ceplifter)
    if appendEnergy: feat[:,0] = numpy.log(energy) # replace first cepstral coefficient with log of frame energy
    return feat 

# 需要導入模塊: from scipy import fftpack [as 別名]
# 或者: from scipy.fftpack import dct [as 別名]
def DCT4(samples):
    """
        Method to create DCT4 transformation using DCT3

        Arguments   :

            samples : (1D Array) Input samples to be transformed

        Returns     :

            y       :  (1D Array) Transformed output samples

    """

    # Initialize
    samplesup=np.zeros(2*N, dtype = np.float32)
    # Upsample signal:
    samplesup[1::2]=samples

    y=spfft.dct(samplesup,type=3,norm='ortho')*np.sqrt(2)#/2

    return y[0:N]

#The DST4 transform: 

# 需要導入模塊: from scipy import fftpack [as 別名]
# 或者: from scipy.fftpack import dct [as 別名]
def main():
    ## Settings
    parser = argparse.ArgumentParser(description='PyTorch MNIST Example')
    parser.add_argument('--input-scp')
    parser.add_argument('--output-scp')
    parser.add_argument('--output-ark')
    parser.add_argument('--dct-dim', type=int)
    args = parser.parse_args()

    ark_scp_output='ark:| copy-feats --compress=true ark:- ark,scp:' + args.output_ark + ',' + args.output_scp
    
    with ko.open_or_fd(ark_scp_output,'wb') as f:
        for key, mat in ko.read_mat_scp(args.input_scp):
            dct_mat = fft.dct(mat, type=2, n=args.dct_dim)
            ko.write_mat(f, dct_mat, key=key)
            
    print('#################success#################') 

# 需要導入模塊: from scipy import fftpack [as 別名]
# 或者: from scipy.fftpack import dct [as 別名]
def forward_dct(args, cpc_model, device, data_loader, output_ark, output_scp, dct_dim=24):
    ''' forward with dct '''

    logger.info("Starting Forward Passing")
    cpc_model.eval() # not training cdc model 

    ark_scp_output='ark:| copy-feats --compress=true ark:- ark,scp:' + output_ark + ',' + output_scp 
    with torch.no_grad():
        with ko.open_or_fd(ark_scp_output,'wb') as f:
            for [utt_id, data] in data_loader:
                data = data.float().unsqueeze(1).to(device) # add channel dimension
                data = data.contiguous()
                hidden = cpc_model.init_hidden(len(data))
                output, hidden = cpc_model.predict(data, hidden)
                mat = output.squeeze(0).cpu().numpy() # kaldi io does not accept torch tensor
                dct_mat = fft.dct(mat, type=2, n=dct_dim) # apply dct 
                ko.write_mat(f, dct_mat, key=utt_id[0]) 

# 需要導入模塊: from scipy import fftpack [as 別名]
# 或者: from scipy.fftpack import dct [as 別名]
def dctii(x, axes=None):
    """
    Compute a multi-dimensional DCT-II over specified array axes. This
    function is implemented by calling the one-dimensional DCT-II
    :func:`scipy.fftpack.dct` with normalization mode 'ortho' for each
    of the specified axes.

    Parameters
    ----------
    a : array_like
      Input array
    axes : sequence of ints, optional (default None)
      Axes over which to compute the DCT-II.

    Returns
    -------
    y : ndarray
      DCT-II of input array
    """

    if axes is None:
        axes = list(range(x.ndim))
    for ax in axes:
        x = fftpack.dct(x, type=2, axis=ax, norm='ortho')
    return x 

# 需要導入模塊: from scipy import fftpack [as 別名]
# 或者: from scipy.fftpack import dct [as 別名]
def run_fft_dct_example():
    random_state = np.random.RandomState(1999)

    fs, d = fetch_sample_speech_fruit()
    n_fft = 64
    X = d[0]
    X_stft = stft(X, fftsize=n_fft)
    X_rr = complex_to_real_view(X_stft)
    X_dct = fftpack.dct(X_rr, axis=-1, norm='ortho')
    X_dct_sub = X_dct[1:] - X_dct[:-1]
    std = X_dct_sub.std(axis=0, keepdims=True)
    X_dct_sub += .01 * std * random_state.randn(
        X_dct_sub.shape[0], X_dct_sub.shape[1])
    X_dct_unsub = np.cumsum(X_dct_sub, axis=0)
    X_idct = fftpack.idct(X_dct_unsub, axis=-1, norm='ortho')
    X_irr = real_to_complex_view(X_idct)
    X_r = istft(X_irr, n_fft)[:len(X)]

    SNR = 20 * np.log10(np.linalg.norm(X - X_r) / np.linalg.norm(X))
    print(SNR)

    wavfile.write("fftdct_orig.wav", fs, soundsc(X))
    wavfile.write("fftdct_rec.wav", fs, soundsc(X_r)) 

# 需要導入模塊: from scipy import fftpack [as 別名]
# 或者: from scipy.fftpack import dct [as 別名]
def dct(x, null_hypothesis=None, counts=1):
    """
    Returns the Type-II discrete cosine transform of y, with an orthogonal normalization, where

    y = (x - counts * null_hypothesis)  / sqrt(counts * null_hypothesis * (1-null_hypothesis)),

    where the arithmetic is element-wise, and `null_hypothesis` is a vector in (0,1).
    If `null_hypothesis` is None it is set to the mean of x. If that mean is 0 or 1 then
    the vector of all ones, except for the first element which is set to zero, is returned.

    Parameters
    ----------
    x : array
        Data string, on which the normalization and discrete cosine transformation is performed. If
        counts is not specified, this must be a bit string.

    null_hypothesis : array, optional
        If not None, an array to use in the normalization before the dct. If None, it is
        taken to be an array in which every element is the mean of x.

    counts : int, optional
        A factor in the normalization, that should correspond to the counts-per-timestep (so
        for full time resolution this is 1).

    Returns
    -------
    array
        The DCT modes described above.

    """
    standardized_x = standardizer(x, null_hypothesis, counts)

    if standardized_x is None:
        out = _np.ones(len(x))
        out[0] = 0.
        return out

    modes = _dct(standardized_x, norm='ortho')

    return modes 

# 需要導入模塊: from scipy import fftpack [as 別名]
# 或者: from scipy.fftpack import dct [as 別名]
def lowpass_filter(data, max_freq=None):
    """
    Implements a low-pass filter on the input array, by DCTing the input, mapping all but the lowest
    `max_freq` modes to zero, and then inverting the transform.

    Parameters
    ----------
    data : numpy.array,
        The vector to low-pass filter

    max_freq : None or int, optional
        The highest frequency to keep. If None then it keeps the minimum of 50 or l/10 frequencies, where l is the
        length of the data vector

    Returns
    -------
    numpy.array
        The low-pass-filtered data.
    """
    n = len(data)

    if max_freq is None:
        max_freq = min(int(_np.ceil(n / 10)), 50)

    modes = _dct(data, norm='ortho')

    if max_freq < n - 1:
        modes[max_freq + 1:] = _np.zeros(len(data) - max_freq - 1)

    out = _idct(modes, norm='ortho')

    return out 

# 需要導入模塊: from scipy import fftpack [as 別名]
# 或者: from scipy.fftpack import dct [as 別名]
def mfcc_spec(audio, sample_rate, window_stride=(160, 80),
              fft_size=512, num_filt=20, num_coeffs=13, return_parts=False):
    """Calculates mel frequency cepstrum coefficient spectrogram"""
    powers = power_spec(audio, window_stride, fft_size)
    if powers.size == 0:
        return np.empty((0, min(num_filt, num_coeffs)))

    filters = filterbanks(sample_rate, num_filt, powers.shape[1])
    mels = safe_log(np.dot(powers, filters.T))  # Mel energies (condensed spectrogram)
    mfccs = dct(mels, norm='ortho')[:, :num_coeffs]  # machine readable spectrogram
    mfccs[:, 0] = safe_log(np.sum(powers, 1))  # Replace first band with log energies
    if return_parts:
        return powers, filters, mels, mfccs
    else:
        return mfccs