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How to calculate SNR before and after filtering in Matlab?

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Nur Fauzira Saidin
Nur Fauzira Saidin el 29 de Nov. de 2015
Respondida: Walter Roberson el 30 de Nov. de 2015
Hi. I have this noisy signal and I want to calculate its SNR before and after filtering process. Please help me!!
f1=50;
f2=100;
fsampling=1000;
fn1_normfreq=0.4;
fn2_normfreq=0.5;
x1 = cos(2*pi*f1*[0:1/fsampling:1.23]);
x2 = cos(2*pi*f2*[0:1/fsampling:1.23]);
x = x1 + x2;
x(end) = [];
[b,a] = butter(2,[fn1_normfreq fn2_normfreq],'bandpass');
filtered_noise = filter(b,a,randn(1, length(x)*2));
noise = 0.5*filtered_noise(500:500+length(x)-1);
y = (x + noise)/length(x)*2; %noisy signal
%Lowpass FIR filter using rectangular window
fp=300;
fs=400;
rp=0.005;
rs=0.1;
% Normalizing the frequencies
wp=2*fp/fsampling;
ws=2*fs/fsampling;
num=-20*log10(sqrt(rp*rs))-13;
dem=14.6*(fs-fp)/fsampling;
n=ceil(num/dem);
n1=n+1;
if (rem(n,2)~=0)
n1=n;
n=n-1;
end
w=rectwin(n1);
b=fir1(n,wp,'high',w);%Filter coefficients
%filtering
Y_filtered=filtfilt(b,1,y); %filtered signal

Respuestas (1)

Walter Roberson
Walter Roberson el 30 de Nov. de 2015
A signal in isolation must always be considered to be a perfect signal, noiseless. You can only calculate SNR if you have at least two signals (one of which might be the constant signal, all 0, if you know that the other signal consists entirely of noise.)

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