DocumentCode :
1103844
Title :
On the absence of limit cycles in a class of state-space digital filters which contains minimum noise realizations
Author :
Kawamata, Masayuki ; Higuchi, Tatsuo
Author_Institution :
Tohoku University, Sendai, Japan
Volume :
32
Issue :
4
fYear :
1984
fDate :
8/1/1984 12:00:00 AM
Firstpage :
928
Lastpage :
930
Abstract :
This paper presents a theorem for the absence of limit cycles in a class of state-space digital filters. Such a class contains minimum noise realizations of any order as a special case, that is, it is proved that the transition matrix A of minimum noise realizations of any order satisfies 
, and thus the realizations are free of limit cycles.
, and thus the realizations are free of limit cycles.Keywords :
Acoustic signal processing; Acoustical engineering; Digital filters; Eigenvalues and eigenfunctions; Equations; Limit-cycles; Noise level; Signal synthesis; Speech processing; Speech synthesis;
fLanguage :
English
Journal_Title :
Acoustics, Speech and Signal Processing, IEEE Transactions on
Publisher :
ieee
ISSN :
0096-3518
Type :
jour
DOI :
10.1109/TASSP.1984.1164384
Filename :
1164384
Link To Document :
