Non-uniform Filter interpolation in the frequency domain

Brigitte Bidégaray-Fesquet (1) , Laurent Fesquet (2)

1 EDP - Equations aux Dérivées Partielles
2 TIMA - Techniques de l'Informatique et de la Microélectronique pour l'Architecture des systèmes intégrés

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.

Mots clés: non-uniformly sampled signal processing

Domaines: Micro et nanotechnologies/Microélectronique; Analyse numérique [math.NA]; Traitement du signal et de l'image [eess.SP]; Traitement du signal et de l'image [eess.SP]

Brigitte Bidégaray-Fesquet, Laurent Fesquet. Non-uniform Filter interpolation in the frequency domain. Sampling Theory in Signal and Image Processing, 2011, 10 (1-2), pp.17-35. ⟨10.1007/BF03549532⟩. ⟨hal-00646536⟩