mfcc的特征提取python 代码实现和解析

 #!/usr/bin/python
 # -*- coding: UTF-8 -*-
 
 import numpy
 import scipy.io.wavfile
 from matplotlib import pyplot as plt
 from scipy.fftpack import dct
 
 sample_rate,signal=scipy.io.wavfile.read('stop.wav')
 
 print(sample_rate,len(signal))
 #读取前3.5s 的数据
 signal=signal[0:int(3.5*sample_rate)]
 print(signal)
 
 #预先处理
 pre_emphasis = 0.97
 emphasized_signal = numpy.append(signal[0], signal[1:] - pre_emphasis * signal[:-1])
 
 frame_size=0.025
 frame_stride=0.1
 frame_length,frame_step=frame_size*sample_rate,frame_stride*sample_rate
 signal_length=len(emphasized_signal)
 frame_length=int(round(frame_length))
 frame_step=int(round(frame_step))
 num_frames=int(numpy.ceil(float(numpy.abs(signal_length-frame_length))/frame_step))
 
 pad_signal_length=num_frames*frame_step+frame_length
 z=numpy.zeros((pad_signal_length-signal_length))
 pad_signal=numpy.append(emphasized_signal,z)
 
 indices = numpy.tile(numpy.arange(0, frame_length), (num_frames, 1)) + numpy.tile(numpy.arange(0, num_frames * frame_step, frame_step), (frame_length, 1)).T
 
 frames = pad_signal[numpy.mat(indices).astype(numpy.int32, copy=False)]
 
 #加上汉明窗
 frames *= numpy.hamming(frame_length)
 # frames *= 0.54 - 0.46 * numpy.cos((2 * numpy.pi * n) / (frame_length - 1))  # Explicit Implementation **
 
 #傅立叶变换和功率谱
 NFFT = 512
 mag_frames = numpy.absolute(numpy.fft.rfft(frames, NFFT))  # Magnitude of the FFT
 #print(mag_frames.shape)
 pow_frames = ((1.0 / NFFT) * ((mag_frames) ** 2))  # Power Spectrum
 
 low_freq_mel = 0
 #将频率转换为Mel
 nfilt = 40
 high_freq_mel = (2595 * numpy.log10(1 + (sample_rate / 2) / 700))
 mel_points = numpy.linspace(low_freq_mel, high_freq_mel, nfilt + 2)  # Equally spaced in Mel scale
 hz_points = (700 * (10**(mel_points / 2595) - 1))  # Convert Mel to Hz
 
 bin = numpy.floor((NFFT + 1) * hz_points / sample_rate)
 
 fbank = numpy.zeros((nfilt, int(numpy.floor(NFFT / 2 + 1))))
 
 for m in range(1, nfilt + 1):
     f_m_minus = int(bin[m - 1])   # left
     f_m = int(bin[m])             # center
     f_m_plus = int(bin[m + 1])    # right
     for k in range(f_m_minus, f_m):
         fbank[m - 1, k] = (k - bin[m - 1]) / (bin[m] - bin[m - 1])
     for k in range(f_m, f_m_plus):
         fbank[m - 1, k] = (bin[m + 1] - k) / (bin[m + 1] - bin[m])
 filter_banks = numpy.dot(pow_frames, fbank.T)
 filter_banks = numpy.where(filter_banks == 0, numpy.finfo(float).eps, filter_banks)  # Numerical Stability
 filter_banks = 20 * numpy.log10(filter_banks)  # dB
 
 num_ceps = 12
 mfcc = dct(filter_banks, type=2, axis=1, norm='ortho')[:, 1 : (num_ceps + 1)]
 (nframes, ncoeff) = mfcc.shape
 
 n = numpy.arange(ncoeff)
 cep_lifter =22
 lift = 1 + (cep_lifter / 2) * numpy.sin(numpy.pi * n / cep_lifter)
 mfcc *= lift  #*
 
 #filter_banks -= (numpy.mean(filter_banks, axis=0) + 1e-8)
 mfcc -= (numpy.mean(mfcc, axis=0) + 1e-8)
 
 print(mfcc.shape)
 plt.plot(filter_banks)
 
 plt.show()

测试结果：