vendor.py

import numpy

# MIT Licensed, Copyright (c) 2013 James Lyons
def hz2mel(hz):
    """Convert a value in Hertz to Mels
    :param hz: a value in Hz. This can also be a numpy array, conversion proceeds element-wise.
    :returns: a value in Mels. If an array was passed in, an identical sized array is returned.
    """
    return 2595 * numpy.log10(1+hz/700.)

def mel2hz(mel):
    """Convert a value in Mels to Hertz
    :param mel: a value in Mels. This can also be a numpy array, conversion proceeds element-wise.
    :returns: a value in Hertz. If an array was passed in, an identical sized array is returned.
    """
    return 700*(10**(mel/2595.0)-1)

def get_filterbanks(nfilt=20,nfft=512,samplerate=16000,lowfreq=0,highfreq=None):
    """Compute a Mel-filterbank. The filters are stored in the rows, the columns correspond
    to fft bins. The filters are returned as an array of size nfilt * (nfft/2 + 1)
    :param nfilt: the number of filters in the filterbank, default 20.
    :param nfft: the FFT size. Default is 512.
    :param samplerate: the samplerate of the signal we are working with. Affects mel spacing.
    :param lowfreq: lowest band edge of mel filters, default 0 Hz
    :param highfreq: highest band edge of mel filters, default samplerate/2
    :returns: A numpy array of size nfilt * (nfft/2 + 1) containing filterbank. Each row holds 1 filter.
    """
    highfreq= highfreq or samplerate/2
    assert highfreq <= samplerate/2, "highfreq is greater than samplerate/2"

    # compute points evenly spaced in mels
    lowmel = hz2mel(lowfreq)
    highmel = hz2mel(highfreq)
    melpoints = numpy.linspace(lowmel,highmel,nfilt+2)
    # our points are in Hz, but we use fft bins, so we have to convert
    #  from Hz to fft bin number
    bin = numpy.floor((nfft+1)*mel2hz(melpoints)/samplerate)

    fbank = numpy.zeros([nfilt,nfft//2+1])
    for j in range(0,nfilt):
        for i in range(int(bin[j]), int(bin[j+1])):
            fbank[j,i] = (i - bin[j]) / (bin[j+1]-bin[j])
        for i in range(int(bin[j+1]), int(bin[j+2])):
            fbank[j,i] = (bin[j+2]-i) / (bin[j+2]-bin[j+1])
    return fbank