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June 8th, 2017, 06:37 AM  #1 
Newbie Joined: Jun 2017 From: Israel Posts: 1 Thanks: 0  LTI Impulse Response Estimation with Point Process Input
Hello, I am trying to estimate transfer function of unknown LTI system, given output and assumed input as point process. I have measurement of output, while input, which is assumed to be point process, could be created synthetically using known times and amplitudes. My questions: 1. What is the best approach to estimate spectrum of synthetic point process signal (aparametric/parametric/AR...)? 2. Is there theoretical formulation for point process spectrum, which could be used to create numerical instance for my transfer estimation purpose. 3. Is there a way to estimate zero/poles of system given only output measurement and assumptions on input, without calculation of input and output signals spectrums? 4. Is there methodology to estimate number of zeros/poles based on given input and output? Thanks, Alexei Nomazov, Algorithms Researcher. 

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estimation, impulse, impulse response, input, lti, point, point process, process, response, spectrum 
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