On synthesis of asymptotic filter banks based on a generalization of the Tellegen's principle
Milan Štork, Josef Hrušák · 2005
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.