On synthesis of asymptotic filter banks based on a generalization of the Tellegen's principle

Authors:
Milan Stork;Josef Hrusak
Affiliations:
Department of Applied Electronics and Telecommunications, University of West Bohemia, Plzen, Czech Republic;Department of Applied Electronics and Telecommunications, University of West Bohemia, Plzen, Czech Republic
Venue:
AEE'05 Proceedings of the 4th WSEAS international conference on Applications of electrical engineering
Year:
2005

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Abstract

This paper deals with structural properties of a class of asymptotic filters from the filter banks design point of view. It is shown that both, the continuous-and discrete-time lattice filter structures can be derived as a natural consequence of strict causality, minimality and asymptotic stability requirements. An abstract form of classic Tellegen's relation is introduced and used as a basic design tool expressing the signal energy conservation law for filter state space representations. It is demonstrated that in discrete-time version the resulting asymptotic filter bank structure contains the well known direct FIR filter structure as special case.