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%0 Book
%A Hélie, Thomas
%A Matignon, Denis
%T Representation with poles and cuts for the time-domain simulation of fractional systems and irrational transfer functions
%D 2006
%B Journal of Signal Processing, Special Issue on Fractional Calculus Applications in Signals and Systems
%V 86
%P 2516-2528
%F Helie06e
%X 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.
%1 3
%2 3
%U http://articles.ircam.fr/textes/Helie06e/