从音频信号中去除噪声

Question

下面的人是我的代码。我想从我自己使用随机函数添加的音频信号中去除噪音。以下代码以某种方式去除了噪音，但它仍然太嘈杂以至于我听不到声音。我还想为此代码添加音频文件，但在发布我的问题时我没有找到任何选项，因此您可以添加任何两声道 .wav 声音文件。任何评论或提示都会有所帮助，谢谢。

close all
clear 
clc 


[x,fs] = audioread('cello.wav');             
whos x;                                         
 pOrig = audioplayer(x,fs);                %Signal Play
 pOrig.play;

N = size(x,1);                            
figure;
subplot(2,1,1);
stem(1:N, x(:,1));
title('Left Channel of Origional signal');
subplot(2,1,2);
stem(1:N, x(:,2));
title('Right Channel of origional signal');

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
 df = fs/N;
 w = (-(N/2):(N/2)-1)*df;
 y1= fft(x(:,1),N)/N;
 y2 = fftshift(y1);
 figure;
 plot(w,abs(y2));
title('Fast Fourier Transform of Origional Signal')

   %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% 
pause
 y=x;
 y = y + randn(size(y));
 pOrig = audioplayer(y,fs);
 pOrig.play;

figure;
subplot(2,1,1);
stem(1:N, y(:,1));
title('Left Channel with Noise');  
subplot(2,1,2);
stem(1:N, y(:,2));
title('Right Channel with Noise');                     




 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
 df = fs/N;
 w = (-(N/2):(N/2)-1)*df;
 y1= fft(y(:,1),N)/N;
 y2 = fftshift(y1);
 figure;
 plot(w,abs(y2));
 title('Fast Fourier Transform of Noisy Signal')
 pause  
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% filter design 
 n = 10;
beginFreq = 100 / (fs/2);
endFreq =  2000  / (fs/2);
%[b,a] = butter(n,  endFreq, 'low');
%fout = filter(b,a,y);                         % input y(noisy signal)

[b,a] = butter(n,  endFreq, 'low');
fout = filter(b,a,y);                         % input y(noisy signal)



figure;
subplot(2,1,1);
stem(1:N, fout(:,1));
title('Left channel after filtering');  
 subplot(2,1,2);
 stem(1:N, fout(:,2));
 title(' Right channel after filtering');
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%plot(fout); 

 df = fs/N;
 w = (-(N/2):(N/2)-1)*df;
 y1= fft(fout(:,1),N)/N; 
 y2 = fftshift(y1);
 figure;
 plot(w,abs(y2));
title('Fast Fourier Transform  after filtering');

 pOrig = audioplayer(fout,fs);
 pOrig.play;

Answer 1

您正在使用 randn() 函数添加噪声，该函数会产生高斯噪声，即白噪声。白噪声在频谱上具有恒定的功率，这意味着您要添加 0 到 20kHz 的噪声（仅考虑音频频谱）。

您的滤波器是 0.1-2 kHz 之间的带通滤波器，因此根据我上面指出的内容，这些频段中仍然存在噪声分量。从理论上讲，过滤所有噪声分量是不可能的，但是您可能需要查看 Wiener 过滤器以获得更好的结果。实际上，如果您了解高斯噪声参数，它就是最佳滤波器，这只是您的情况下噪声的方差。

如果您想查看消除所有噪声的示例，可以在原始信号中添加带外噪声。这可以通过 rand() 生成随机序列并使用过滤器使其具有带宽限制。例如，使用 3-10kHz 带通滤波器过滤生成的噪声序列，然后添加到原始音频序列中。最后，在您的脚本中应用相同的黄油过滤器，以查看所有噪音均已消除。