IIR digital filtering of non-uniformly sampled signals via state representation

This article describes a new kind of processing chain based on a non-uniform sampling scheme provided by a level-crossing ADC. The chain implements IIR filters which process directly the non-uniform samples without resampling in a regular scheme. The non-uniformity in the sample times leads to choose a state representation for the filters. The stability is studied and the performances of various numerical schemes used to implement the filters in this representation are compared.

[1]  J. M. Watt.  Numerical Initial Value Problems in Ordinary Differential Equations , 1972 .

[2]  Muhammad Usman,et al.  International Conference on Sampling Theory and Applications (SampTA'09) , 2009 .

[3]  Saeed Mian Qaisar,et al.  Adaptive Rate Sampling and Filtering Based on Level Crossing Sampling , 2009, EURASIP J. Adv. Signal Process..

[4]  Henrik V. Sorensen,et al.  A level-crossing sampling scheme for A/D conversion , 1996 .

[5]  F. Aeschlimann,et al.  Traitement du signal échantillonné non uniformément : algorithme et architecture , 2006 .

[6]  L. Fesquet,et al.  A fully non-uniform approach to FIR filtering , 2009 .

[7]  Saeed Mian Qaisar,et al.  Adaptive Rate Filtering Fora Signal Driven Sampling Scheme , 2007, 2007 IEEE International Conference on Acoustics, Speech and Signal Processing - ICASSP '07.

[8]  Gilles Sicard,et al.  A new class of asynchronous A/D converters based on time quantization , 2003, Ninth International Symposium on Asynchronous Circuits and Systems, 2003. Proceedings..

[9]  José Ragot,et al.  Filtrage de signaux à échantillonnage irrégulier , 2001 .

[10]  J. Oksman,et al.  Filtrage des signaux à échantillonnage non uniforme Digital filters for non-uniformly sampled signals , 2001 .

[11]  Laurent Fesquet,et al.  Asynchronous FIR filters: towards a new digital processing chain , 2004, 10th International Symposium on Asynchronous Circuits and Systems, 2004. Proceedings..

[12]  Yannis P. Tsividis,et al.  Processing of signals using level-crossing sampling , 2009, 2009 IEEE International Symposium on Circuits and Systems.