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The Least Mean Square solution to find the "channel" or response of the filter is provided by the following MATLAB/Octave Code using the input to the filter as tx and the output of the filter as rx. For more details on how this works, see this post: Compensating Loudspeaker frequency response in an audio signal: function coeff = channel(tx,rx,ntaps) % ...


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A rectangular prefilter is a sinc(x) in the frequency domain, thus quite far from the text-book brick-wall filter presented in standard discrete sampling. Still, if your (constructed) continous waveform contains no frequency components at >= samplingrate/2 and you can compensate for the high frequency roll off, I would think that near perfect reconstruction ...


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From the comments you are most interested in counting the number of clear up areas over a certain duration of time, and you point out that you will have occasional erroneous negative spikes even during the up intervals. You obviously want to filter but you also suggested little knowledge in this space so I will keep it very simple in what should provide a ...


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