- #1

ntran26

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I am trying to learn about lti systems and what not for my research work but before I can apply my research I have to understand the fundamentals, which is what this question is kind of about!

I want to find h(t), the impulse response of an LTI system where my input and output are sinusoids. So I have made two functions.

Input(t)=4*SIN(3*t+PI/8)+9*SIN(4*t-PI()/6)

Output(t)=2*SIN(8*t+PI/3)+5*SIN(2*t-PI()/7)

I did use matlab's fast Fourier transform to bring results of n^10 data points to the frequency domain.

I then do output(w)/input(w) ,output and input in frequency domain, to get H(w), the frequency response. I then use MATLAB to apply the inverse fast Fourier transform to H(w) to obtain h(t).

I use matlabs convolution function which should result in I(t)*h(t)=o(t)

The problem is that this is not matching up.

Am i doing something wrong with my thought process? Thanks!