Title :
Minimum unit noise gain in non-minimal state-space realizations of digital filters
Author :
Tokaji, Isao ; Barnes, Casper W.
Author_Institution :
Japan Defense Agency, Tokyo, Japan
fDate :
4/1/1988 12:00:00 AM
Abstract :
The minimum attainable unit-noise-gain in a non-minimal state-space realization of a digital filter is shown to be given by the ratio of the dimension of a minimal realization to the dimension of the non-minimal realization multiplied by the minimum unit-noise-gain of a minimal realization. It is shown that the minimum noise gain can be attained if and only if the redundant modes of the non-minimal realization are both uncontrollable and unobservable
Keywords :
digital filters; noise; state-space methods; digital filters; minimum unit-noise-gain; nonminimal realisation; redundant modes; state-space realization; Acoustics; Circuits; Costs; Delay effects; Digital filters; Hardware; Signal processing algorithms; Speech processing; Systolic arrays; Very large scale integration;
Journal_Title :
Circuits and Systems, IEEE Transactions on
