DocumentCode
1184216
Title
Temporal stability of N-dimensional linear processors and its applications
Author
Chang, Sheldon S L
Volume
27
Issue
8
fYear
1980
fDate
8/1/1980 12:00:00 AM
Firstpage
716
Lastpage
719
Abstract
The transfer function of an 
-dimensional linear processor is the double-ended 
-transform of its impulse response function. Every rational transfer function has a unique, stable expansion if the denominator polynomial is nonzero on the unit circle product subspace of , and can be realized by a frame recursive processing scheme. As an extension of the above the present paper stated and proved the conditions for an active infinite network to be stable both spatially and temporally.
-dimensional linear processor is the double-ended -transform of its impulse response function. Every rational transfer function has a unique, stable expansion if the denominator polynomial is nonzero on the unit circle product subspace of , and can be realized by a frame recursive processing scheme. As an extension of the above the present paper stated and proved the conditions for an active infinite network to be stable both spatially and temporally.Keywords
Active networks; Multivariable network functions; Stability; Z transforms; Digital filters; Error analysis; Fast Fourier transforms; Filtering; Multidimensional signal processing; Registers; Speech processing; Stability; Stochastic processes; Transfer functions;
fLanguage
English
Journal_Title
Circuits and Systems, IEEE Transactions on
Publisher
ieee
ISSN
0098-4094
Type
jour
DOI
10.1109/TCS.1980.1084872
Filename
1084872
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