282 articles – 2134 references  [version française]
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SAMPTA'09 - International Conference on Sampling Theory and Applications, Marseille : France (2009)
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A fully nonuniform approach to FIR filtering
Brigitte Bidégaray-Fesquet1, Laurent Fesquet2

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:  LJK - Laboratoire Jean Kuntzmann
2:  TIMA - Techniques of Informatics and Microelectronics for integrated systems Architecture