A fully nonuniform approach to FIR filtering

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 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.

Domaines: Traitement du signal et de l'image [eess.SP]; Traitement du signal et de l'image [eess.SP]

Brigitte Bidégaray-Fesquet, Laurent Fesquet. A fully nonuniform approach to FIR filtering. SAMPTA'09 - International Conference on Sampling Theory and Applications, May 2009, Marseille, France. pp.129: 1-4. ⟨hal-00453350⟩