On the transfer function calculus for underspread LTV channels

Authors:
W. Kozek
Affiliations:
Dept. of Math., Wien Univ.
Venue:
IEEE Transactions on Signal Processing
Year:
1997

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Wigner distributions (nearly) everywhere: time-frequency analysis of signals, systems, random processes, signal spaces, and frames

Signal Processing - From signal processing theory to implementation

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Abstract

The freedom in the definition of a time-varying transfer function is formalized by introducing the generalized Weyl correspondence, which includes Zadeh's (1950) function and the Weyl symbol. For slowly time-varying linear systems with properly limited memory (underspread LTV systems) we prove the asymptotic validity of the multiplicative transfer function calculus