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June 8th, 2017, 05:37 AM   #1
Joined: Jun 2017
From: Israel

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LTI Impulse Response Estimation with Point Process Input


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 (a-parametric/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?

Alexei Nomazov,
Algorithms Researcher.
Alexei Nomazov is offline  

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

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