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
Link To Document :
