如何在Matlab中计算信号的信噪比？

Question

我想计算噪声信号和滤波信号的SNR。我使用了下面的代码，但我不确定结果是否正确。有人能帮助我吗？

%generate the noisy signal which will be filtered 
x= cos(2*pi*12*[0:0.001:1.23]); 
x(end) = []; 
[b,a] = butter(2,[0.6 0.7],'bandpass'); 
filtered_noise = filter(b,a,randn(1, length(x)*2)); 
y = (x + 0.5*filtered_noise(500:500+length(x)-1))/length(x)*2; 

%Use matlabs built-in buttord function to get the optimum order to meet a  
specification 
[N,Wn] = buttord(0.1, 0.5, 5, 40) 

%use the N and Wn values obtained above to design the filter in the usual 
way 
[b,a] = butter(N, Wn, 'low'); 

%filter the signal and plot the ouput of the filter 
Y_filtered = filter(b,a,y); 

%calculation of snr before filtering 
snr_before = mean(x.^2)/mean(filtered_noise.^2); 
snr_before_db = 10 * log10(snr_before) % in dB 

%calculation of snr after filtering 
residual_noise = x - Y_filtered; 
snr_after = mean(x.^2)/mean(residual_noise.^2); 
snr_after_db = 10 * log10(snr_after) 

结果，我得到的是：

snr_before_db = 
     6.8725 
snr_after_db = 
     0.0132 

Answer 1

我不认为滤波前后计算PSNR的正确途径。另外，您计算PSNR的方式也不正确。只有在过滤后才能计算PSNR。试试这个

peaksnr = psnr(X,Y_filtered) 

或

MSE = (1/length(X))*sum((X-Y_filtered).^2); 
peaksnr = 10*log10(max(X(:))^2/MSE);