Lossless Cascade Factorizations

Patrick Dewilde and Alle-Jan van der Veen
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Patrick Dewilde: Delft University of Technology, DIMES
Alle-Jan van der Veen: Delft University of Technology, DIMES

Chapter 14 in Time-Varying Systems and Computations, 1998, pp 383-417 from Springer

Abstract: Abstract In chapter 12, we showed how a contractive u.e. stabletransfer operator T can be embedded into an inner operator Σ. We now derive minimal structural factorizations of locally finite inner transfer operators into elementary inner operators of degree one. The resulting lossless cascade networks provide a canonical realization of T into a network of minimal degree and with a minimal number of coefficients. For a better understanding of the problem, we first review some aspects of cascade factorizations for time-invariant systems.

Keywords: Transfer Operator; Local Degree; Filter Structure; Elementary Section; Unitary Realization (search for similar items in EconPapers)
Date: 1998
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-1-4757-2817-0_14

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DOI: 10.1007/978-1-4757-2817-0_14

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