Python谱减法语音降噪实例

代码中用到了nextpow2，其中n = nextpow2(x) 表示最接近x的2的n次幂。

#!/usr/bin/env python
import numpy as np
import wave
import nextpow2
import math
 
 
# 打开WAV文档
f = wave.open("filename.wav")
# 读取格式信息
# (nchannels, sampwidth, framerate, nframes, comptype, compname)
params = f.getparams()
nchannels, sampwidth, framerate, nframes = params[:4]
fs = framerate
# 读取波形数据
str_data = f.readframes(nframes)
f.close()
# 将波形数据转换为数组
x = np.fromstring(str_data, dtype=np.short)
# 计算参数
len_ = 20 * fs // 1000
PERC = 50
len1 = len_ * PERC // 100
len2 = len_ - len1
# 设置默认参数
Thres = 3
Expnt = 2.0
beta = 0.002
G = 0.9
# 初始化汉明窗
win = np.hamming(len_)
# normalization gain for overlap+add with 50% overlap
winGain = len2 / sum(win)
 
 
# Noise magnitude calculations - assuming that the first 5 frames is noise/silence
nFFT = 2 * 2 ** (nextpow2.nextpow2(len_))
noise_mean = np.zeros(nFFT)
 
 
j = 0
for k in range(1, 6):
  noise_mean = noise_mean + abs(np.fft.fft(win * x[j:j + len_], nFFT))
  j = j + len_
noise_mu = noise_mean / 5
 
 
# --- allocate memory and initialize various variables
k = 1
img = 1j
x_old = np.zeros(len1)
Nframes = len(x) // len2 - 1
xfinal = np.zeros(Nframes * len2)
 
 
# =========================  Start Processing  ===============================
for n in range(0, Nframes):
  # Windowing
  insign = win * x[k-1:k + len_ - 1]
  # compute fourier transform of a frame
  spec = np.fft.fft(insign, nFFT)
  # compute the magnitude
  sig = abs(spec)
 
 
  # save the noisy phase information
  theta = np.angle(spec)
  SNRseg = 10 * np.log10(np.linalg.norm(sig, 2) ** 2 / np.linalg.norm(noise_mu, 2) ** 2)
 
 
 
 
  def berouti(SNR):
    if -5.0 <= SNR <= 20.0:
      a = 4 - SNR * 3 / 20
    else:
      if SNR < -5.0:
        a = 5
      if SNR > 20:
        a = 1
    return a
 
 
 
 
  def berouti1(SNR):
    if -5.0 <= SNR <= 20.0:
      a = 3 - SNR * 2 / 20
    else:
      if SNR < -5.0:
        a = 4
      if SNR > 20:
        a = 1
    return a
 
 
  if Expnt == 1.0: # 幅度谱
    alpha = berouti1(SNRseg)
  else: # 功率谱
    alpha = berouti(SNRseg)
  #############
  sub_speech = sig ** Expnt - alpha * noise_mu ** Expnt;
  # 当纯净信号小于噪声信号的功率时
  diffw = sub_speech - beta * noise_mu ** Expnt
  # beta negative components
 
 
  def find_index(x_list):
    index_list = []
    for i in range(len(x_list)):
      if x_list[i] < 0:
        index_list.append(i)
    return index_list
 
 
  z = find_index(diffw)
  if len(z) > 0:
    # 用估计出来的噪声信号表示下限值
    sub_speech[z] = beta * noise_mu[z] ** Expnt
    # --- implement a simple VAD detector --------------
    if SNRseg < Thres: # Update noise spectrum
      noise_temp = G * noise_mu ** Expnt + (1 - G) * sig ** Expnt # 平滑处理噪声功率谱
      noise_mu = noise_temp ** (1 / Expnt) # 新的噪声幅度谱
    # flipud函数实现矩阵的上下翻转，是以矩阵的“水平中线”为对称轴
    # 交换上下对称元素
    sub_speech[nFFT // 2 + 1:nFFT] = np.flipud(sub_speech[1:nFFT // 2])
    x_phase = (sub_speech ** (1 / Expnt)) * (np.array([math.cos(x) for x in theta]) + img * (np.array([math.sin(x) for x in theta])))
    # take the IFFT
 
 
    xi = np.fft.ifft(x_phase).real
    # --- Overlap and add ---------------
    xfinal[k-1:k + len2 - 1] = x_old + xi[0:len1]
    x_old = xi[0 + len1:len_]
    k = k + len2
# 保存文件
wf = wave.open('outfile.wav', 'wb')
# 设置参数
wf.setparams(params)
# 设置波形文件 .tostring()将array转换为data
wave_data = (winGain * xfinal).astype(np.short)
wf.writeframes(wave_data.tostring())
wf.close()

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