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(Wiener) deconvolution with high resolution kernel

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Martijn Steenwijk
Martijn Steenwijk 2017-2-15
Given the system y(t) = (h * x)(t) + n(t)
I have 1D data y(t) which is sampled at a relatively low temporal resolution. The sampling rate of this signal cannot be improved due to technical limitations. The impulse response h(t) follows a model which is known at a much higher temporal resolution. When using Wiener deconvolution to obtain x(t) I would need to resample h(t) at the sampling rate of y(t). Is there a way to improve the estimate of x(t) at low temporal resolution by using h(t) at high resolution?

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