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1

If this is used for channel sounding then you aren't concerned with the actual accuracy of your turntable (causing a frequency shift) in which case I suggest measuring the response in a static condition (non-changing channel) and determining the least square linear fit of the frequency sweep (I would assume but don't know that the test pattern would be a ...

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The way I understand the problem is each sample of the output is a linear combination of the samples of the input. Hence it is modeled by: $$\boldsymbol{y} = H \boldsymbol{x}$$ Where the $i$ -th row of $H$ is basically the instantaneous kernel of the $i$ -th sample of $\boldsymbol{y}$. The problem above is highly ill poised. In the classic ...

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As an answer probably require to have more details on the look-up table (smoothed and regularity of the kernels), here is a couple of recent papers, including a review: Satellite image restoration in the context of a spatially varying point spread function, 2010 Efficient shift-variant image restoration using deformable filtering, 2012 Fast Approximations ...

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