A fully non-uniform approach to FIR filtering

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

1

SampTA'09 - International Conference on Sampling Theory and Applications, 129:1–4, Marseille, France, 2009.