I have a set of measurement data of a FMCW radar and trying to estimate the system transfer function. In the frequency spectrum, I can see multiple peaks due to the non-linearity that exist in the system. I want to estimate the transfer function for each peak.

What I did: I designed filters to cut out each peak and using deconvolution I've estimated the transfer function. In the verification step somehow this process has failed to replicate the system exactly.

What I wanted to do: I want to directly cut out frequency peaks using window function instead of filters. But I am not able to understand how to place the window around frequency peaks so that I can extract each peak separately.

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    $\begingroup$ Hi Sanju, not quite sure what a "transfer function for a peak" is. Maybe sharing your plots with us and defining your problem mathematically would help? $\endgroup$ – Marcus Müller Feb 9 '19 at 13:39
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    $\begingroup$ Also, it's often a good idea to explain what "failed to replicate" means – what happened instead, how large was your deviation, what are your acceptable error bounds, and so on. $\endgroup$ – Marcus Müller Feb 9 '19 at 13:41
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    $\begingroup$ oh and windowing in frequency is convolution with the FT of the window in time domain, i.e. filtering, so I'm also not sure how you'd do one without doing the other, mathematically. $\endgroup$ – Marcus Müller Feb 9 '19 at 13:42

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