Hello all, I have a solution from an equation that is considered linear time invariant, such that i(t)*h(t)=o(t) where i,h,o, are the input, impulse response, and output respectively. If you take these to fourier domain, then you can get H(w)=o(w)/i(w), where H(w) is the frequency response. What I am trying to do is obtain h(t) and take the convolution of h(t) and i(t) to obtain o(t). Here are my steps.
step 1: i_t=data1 o_t=data2
step 2: iw=fft(iw) ow=fft(ow)
step 3: Hw=ow./iw
step 4: ht=ifft(Hw)
step 5: ot_new=conv(i_t,ht)
when i compare the new output to the original output they do not match. I tried using conv(i_t,ht,'same') but that also does not give me anything good. I know that my system satisfies the linear time invariant conditions. Am I doing something wrong? I've also tried playing around with the fft shift and ifftshift with no luck. Thanks!
