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Representations with poles and cuts for the time-domain simulation of fractional systems and irrational transfer functions

Hélie, Thomas and Matignon, Denis Representations with poles and cuts for the time-domain simulation of fractional systems and irrational transfer functions. (2006) Signal Processing, 86 (10). 2516-2528. ISSN 0165-1684

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Official URL: http://dx.doi.org/10.1016/j.sigpro.2006.02.017

Abstract

Fractional differential systems are infinite-dimensional systems which are difficult to study and simulate: they can be represented with poles and cuts. This representation applies to a wider class of irrational transfer functions, and is most useful for signal processing purposes, such as frequency-domain and time-domain simulations: the approximations in low dimension which give the most striking numerical results are obtained through an optimization procedure, the parameters of which are meaningful from a signal point of view. Ten such systems of increasing complexity are thoroughly investigated.

Item Type:Article
HAL Id:hal-01373404
Audience (journal):International peer-reviewed journal
Uncontrolled Keywords:
Institution:French research institutions > Centre National de la Recherche Scientifique - CNRS (FRANCE)
Other partners > Ecole nationale supérieure des Télécommunications - ENST (FRANCE)
Other partners > Telecom ParisTech (FRANCE)
Other partners > Université Pierre et Marie Curie, Paris 6 - UPMC (FRANCE)
Other partners > Institut de Recherche et Coordination Acoustique/Musique - IRCAM (FRANCE)
Laboratory name:
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Deposited By: Denis Matignon
Deposited On:28 Sep 2016 14:49

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