Title :
On lossless digital 2×2 transfer functions that can be implemented with allpass transfer functions
Author_Institution :
Lehrstuhl fur Nachrichtentech. Erlangen-Nurnberg Univ., West Germany
Abstract :
Two-input-two-output digital filters that can be implemented with two scalar allpass transfer functions are obtained directly in the digital domain from lossless digital two-input-two-output transfer functions. The aim is to include allpass-based filters in the theory of 2×2 lossless systems and to extend known results in the literature. It is shown that mathematically the problem can be reduced to putting a special parameter matrix into the diagonal form. This observation is used to derive general conditions for the realization of a two-input-two-output lossless digital system with two scalar allpass circuits
Keywords :
filtering and prediction theory; two-dimensional digital filters; allpass transfer functions; digital filters; lossless digital 2×2 transfer functions; parameter matrix; Circuits; Delay; Digital filters; Digital systems; Eigenvalues and eigenfunctions; Filtering theory; Polynomials; Sufficient conditions; Transfer functions;
Conference_Titel :
Acoustics, Speech, and Signal Processing, 1989. ICASSP-89., 1989 International Conference on
Conference_Location :
Glasgow
DOI :
10.1109/ICASSP.1989.266557
