音频信号的噪声去除

3

下面是我的代码。我想从自己使用随机函数添加的音频信号中去除噪音。以下代码某种程度上去除了噪音,但仍然太嘈杂,我无法听到声音。我还想为这个代码添加音频文件,但在发布问题时没有找到任何选项,因此您可以添加任何双声道.wav音频文件。任何评论或提示都将有所帮助,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;
1个回答

2
您正在使用randn()函数添加噪音,该函数生成高斯噪声,即白噪声。白噪声在频谱上具有恒定功率,这意味着您正在添加从0到20kHz的噪声(仅考虑音频频谱)。
您的滤波器是一个0.1-2 kHz之间的带通滤波器,因此根据我上面指出的内容,在这些频段中仍然存在噪声成分。理论上,不可能过滤掉所有噪声成分,但您可以尝试使用维纳滤波器以获得更好的结果。实际上,如果您了解高斯噪声参数(在您的情况下仅为噪声方差),则它是最优滤波器。
如果您想看到一个完全去除所有噪音的例子,您可以将带外噪声添加到原始信号中。这可以通过使用rand()生成随机序列并使用滤波器使其带限实现。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butter滤波器,以查看所有噪音是否已被去除。

感谢您的帮助。 - Ali khan

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