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;
答案 0 :(得分:2)
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,因此根据我上面提到的,您仍然在这些频段中有噪声成分。理论上,无法过滤所有噪声成分,但您可能需要查看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,它就是最佳滤波器,这只是您的情况下噪声的方差。
如果要查看删除所有噪声的示例,可以在原始信号上添加带外噪声。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带通滤波器对生成的噪声序列进行滤波,然后添加到原始音频序列。最后,在脚本中应用相同的黄油过滤器,以查看所有噪音已被删除。