Help to understand spectral deconvolution

Vijayananda

2026 2 15

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更新时间：2026 2 15

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I have the output (f*g)(t) and impulse response g(t) of a system in the equation:

(source:Wikipedia)

I am trying to get the function f(t) using spectral deconvolution. I understand that in the fourier domain, the above equation can be written as:

Z = F*G where Z is the FFT of (f*g), F is the FFT of f(t) and G is the FFT of g(t). I can obtain F as:

F = Z/G;

f = ifft(F);

I am new to signal processing. I have a basic idea of fourier transform. I read a few notes about DFT and I am confused about zero padding, normalization and shifting. I am trying to code this in matlab. Any help or directions in undestanding the concept will be greatly appreciated. Thank you.