Non-Uniform Filter Design in the Log-Scale

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 the possibility of using a very low number of samples for both the signal and the filter transfer function thanks to non-uniform sampling. Following some previous work where we sampled non-uniformly already existing filter transfer functions, we propose now to design directly new filters in the frequency domain. They will be linear with respect to the log-scale. This approach also leads to a summation formula which plays the role of the discrete convolution for classical FIR filters, but with a very reduced number of samples which yields a good efficiency.

Mots clés: design-tools; filters

Domaines: Micro et nanotechnologies/Microélectronique

Brigitte Bidégaray-Fesquet, Laurent Fesquet. Non-Uniform Filter Design in the Log-Scale. SampTA'11- 9th International Conference on Sampling Theory and Applications, May 2011, Singapore, Singapore. pp.art. 150. ⟨hal-00646287⟩