DocumentCode :
1195235
Title :
A structure-independent approach to the analysis and synthesis of recursive linear time-variant digital filters
Author :
Leou, Tzong-yeu ; Aggarwal, J.K.
Volume :
33
Issue :
7
fYear :
1986
fDate :
7/1/1986 12:00:00 AM
Firstpage :
687
Lastpage :
696
Abstract :
This paper develops a systematic approach to select a timedependent state transformation which can map a linear time-variant (LTV) digital filter to an equivalent filter having diagonal state-feedback matrices. Due to the structural simplicity of the diagonal systems, this time-dependent state transformation is a convenient tool for analyzing recursive LTV filters expressible in the state-variable form. In this paper, we discuss both the theoretical basis and the application of this diagonalization procedure. The properties of two types of recursive LTV filters are examined by using this state transformation technique. Based upon the separable properties of the impulse responses, we have explored a new algorithm for synthesizing desired impulse responses with a major class of recursive LTV filters. This technique, though suboptimal, can substantially reduce the computation required in the synthesis procedure.
Keywords :
Digital filters; Matrix decomposition/factorization; Recursive digital filters; Time-varying filters; Difference equations; Differential equations; Digital filters; Ear; Genetic expression; Nonlinear filters; Signal analysis; Signal processing; Signal synthesis; Transfer functions;
fLanguage :
English
Journal_Title :
Circuits and Systems, IEEE Transactions on
Publisher :
ieee
ISSN :
0098-4094
Type :
jour
DOI :
10.1109/TCS.1986.1085983
Filename :
1085983
Link To Document :
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