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.
KeywordsTransfer Operator Local Degree Filter Structure Elementary Section Unitary Realization
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