Optimal approximation of discrete-time multirate systems on Hilbert spaces

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Abstract

We study discrete-time (m,n)-multirate systems on separable Hilbert spaces, solving the problem of approximating such a system by one which has a shorter multirate period (m∕q,n∕q), optimally in the Hilbert–Schmidt norm. We work in the state–space setting, providing two state–space representations of the optimal approximant which are expressed in terms of a state–space representation of the original system.
Original languageEnglish
Article number104735
Pages (from-to)
JournalSystems and Control Letters
Volume142
DOIs
Publication statusPublished - 2020
MoE publication typeA1 Journal article-refereed

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