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arXiv · 1509.05868

Representation and Factorization of Discrete-Time Rational All-Pass Functions

Augusto Ferrante·Giorgio Picci
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Abstract

We obtain a general characterization of discrete-time all-pass rational matrix functions from state-space representations. It can be employed to address model reduction problems in the same vein of the theory developed by Glover in the continuous-time. Besides model reduction, this characterization is shown to be useful in a variety of contexts such as studying LMI's and Riccati equations and especially in the factorization of all-pass functions. The results are obtained in the most general setting, without introducing any {\em ad hoc} assumption.

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Augusto Ferrante, Giorgio Picci. 2015-09-19. Representation and Factorization of Discrete-Time Rational All-Pass Functions. https://arxiv.org/abs/1509.05868

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