MATLAB: Input function of convolution

convolutioninput functioninverseMATLAB

I have doubt about convolution. Is it possible to find the Input function that convolved, from the result of convolution? As an example y=conv(x,x). Is there a method to uniquely determine 'x', If only 'y' is known?

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As an example y=conv(x,x). Is there a method to uniquely determine 'x', If only 'y' is known?

If you know that x has a real, positive Fourier spectrum X(f), then you can solve for x using frequency domain methods,

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MATLAB: Solving a convolution equation problem

Hi Jamal,

You can use conv and deconv for solving this equation. You will be getting N length vector only as an output. Below code might be of use. This will be only valid if conv(a,b) = conv(x,c) has a valid solution x. otherwise there will be some remainder instead of ~.

% Let a,b,c be N length vector 
[x,~] = deconv(conv(a,b),c);

MATLAB: Does conv() function use FFT inside

conv does not use fft, or at least not when I last checked, as I wrote my own convolution function to use the fft in place of it.

If you get the padding and all that right then within computational error the results of conv should be equal to those of doing an ifft on the product of two ffts.

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MATLAB: Solving a convolution equation problem

MATLAB: Does conv() function use FFT inside

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