DocumentCode
2664401
Title
Periodic and nonperiodic modes in two-dimensional digital filters
Author
Bose, Tarnal ; Sarvate, Dinesh
Author_Institution
Dept. of Electr. Eng., The Citadel, Charleston, SC, USA
fYear
1990
fDate
1-3 May 1990
Firstpage
2998
Abstract
The relationship between the periodicity of a two-dimensional sequence and its energy state diagram is investigated. Some examples are given which illustrate that if the initial conditions are not finite then the trajectory of the energy state diagram does not necessarily terminate on a closed curve, and conversely if the trajectory terminates on a closed curve then the sequence is not necessarily periodic. It is proven that if a two-dimensional sequence is periodic and finite initial conditions are used, then the trajectory of its energy state diagram terminates on a closed curve consisting of a finite number of points
Keywords
stability; two-dimensional digital filters; closed curve; energy state diagram; finite initial conditions; nonperiodic modes; periodicity; trajectory; two-dimensional digital filters; two-dimensional sequence; Digital filters; Educational institutions; Energy states; Limit-cycles; Mathematics; Sufficient conditions;
fLanguage
English
Publisher
ieee
Conference_Titel
Circuits and Systems, 1990., IEEE International Symposium on
Conference_Location
New Orleans, LA
Type
conf
DOI
10.1109/ISCAS.1990.112641
Filename
112641
Link To Document