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Minimal representations of continuous-time processes having spectral density with zeros in the extended imaginary axis
Authors:Augusto Ferrante  
Affiliation:Dipartimento di Ingegneria dell’Informazione, Università di Padova, via Gradenigo 6/B, 35131 Padova, Italy
Abstract:Given a process y with stationary increments and rational incremental spectral density Φ(s), we parametrize minimal state-space representations of dy. We consider the case when Φ(s) may have zeros on the imaginary axis including infinity and we analyze the zero structure of each state-space representation.
Keywords:Positive real lemma   Stochastic realization   Spectral factorization   Silverman structure algorithm   Zero structure
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