convolving signal and noise in frequency domain and inverting back to time domain

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Januka Attanayake
Januka Attanayake 2021-12-3
评论： Matt J 2021-12-5
Hi,
I'm convolving time series data (a signal and noise) in frequency domain and inverting the convolved time series back to time domain. This seems like a straight forward operation with an fft and ifft. Yet when I do this, the resulting final time series appears to be amplified by some factor. Any explanation about how I can fix this is greatly appreciated.
f = 2;
omega = 2*pi*f;
dt = 0.01;
t = 0:dt:5;
sig = sin(omega*t) * 2;
noise = randi([-1,1],1,length(t));
sig_ns_conv = (ifft(fft(sig) .* fft(noise)));
figure(1)
plot(t,sig,'-r');
hold on;
plot(t,noise,'-b')
plot(t,sig_ns_conv,'-g');
hold off;

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Matt J
Matt J 2021-12-3
sig_ns_conv = (ifft(fft(sig) .* fft(noise))) * dt;
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