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arXiv · 1704.02154

LTI Stochastic Processes: a Behavioral Perspective

Giacomo Baggio·Rodolphe Sepulchre
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Abstract

This paper revisits the definition of linear time-invariant (LTI) stochastic process within a behavioral systems framework. Building on [Willems, 2013], we derive a canonical representation of an LTI stochastic process and a physically grounded notion of interconnection between independent stochastic processes. We use this framework to analyze the invariance properties enjoyed by distances between spectral densities of LTI processes.

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Giacomo Baggio, Rodolphe Sepulchre. 2017-04-07. LTI Stochastic Processes: a Behavioral Perspective. https://arxiv.org/abs/1704.02154

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