Currently I am completely new to Signal Processing and I am about to kick off a project related to the system identification.
The general idea is given a pair of sent and received signals, I have to find the impulse response in it, i.e. the system. And I'm currently thinking if I can use the technique in deconvolution to handle this problem, so I am doing research on it and got completely messed. Here are some question I would like to ask.
As far as I got from some website, or posts here, I found that if there is no zeros in the fourier transform of the input, I can use direct division on H(w) = Y(w) / X(w), but the question is, if I received the signal datas, the dimensions on X and Y are different, How can I do the the point-to-pont division? or is there any other way to do this? or is it wrong?
Some say that I have to do some filtering/ regularization on the data, but the question is pretty much the same.
It will be much appreciated if you could anwer my question, and many thanks if you could provide me with some readings or books to tackle this problem.