Minimal representations of continuous-time processes having spectral density with zeros in the extended imaginary axis |
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Authors: | Augusto Ferrante |
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Affiliation: | Dipartimento di Ingegneria dell’Informazione, Università di Padova, via Gradenigo 6/B, 35131 Padova, Italy |
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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. |
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Keywords: | Positive real lemma Stochastic realization Spectral factorization Silverman structure algorithm Zero structure |
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