Non-uniform filter interpolation in the frequency domain

Abstract

We propose a filtering technique which takes advantage of a specific non-uniform sampling scheme which allows the capture of a very low number of samples for both the signal and the filter transfer function. This approach leads to a summation formula which plays the same role as the discrete convolution for usual FIR filters. Here the formula is much more complicated but it can easily be implemented and the evaluation of these more elaborate expressions is compensated by the very low number of samples to process.