Title :
On the practical BIBO stability of multidimensional filters
Author :
Lazar, Michael S. ; Bruton, Leonard T.
Author_Institution :
Dept. of Electr. & Comput. Eng., Calgary Univ., Alta., Canada
Abstract :
The conventional definition of multidimensional (m-D) bounded-input bounded-output (BIBO) stability permits the m-D domain of the input signal, and of the m-D computations, to be of infinite extent in all m-dimensions. The definition of m-D practical-BIBO (P-BIBO) stability restricts the m-D domain of the input signal, and of the computations, to be of finite extent in all but one of the m dimensions. It is shown that the P-BIBO stability criterion corresponds to those computations that can be made with a machine having a finite number of (infinite-precision) memory storage elements, whereas the BIBO stability criterion, which is more restrictive, also includes machines having an infinite number of (infinite-precision) memory storage elements. It is argued that the extension of the BIBO stability criterion to include such infinitely large machines is of limited practical value, and that P-BIBO stability is the more useful criterion, and is easier to test
Keywords :
circuit stability; multidimensional digital filters; stability criteria; BIBO stability; bounded-input bounded-output; infinite extent; input signal; memory storage elements; multidimensional filters; stability criterion; Convolution; Filters; Multidimensional systems; Samarium; Stability criteria; Sufficient conditions; Testing; Transfer functions;
Conference_Titel :
Circuits and Systems, 1993., ISCAS '93, 1993 IEEE International Symposium on
Conference_Location :
Chicago, IL
Print_ISBN :
0-7803-1281-3
DOI :
10.1109/ISCAS.1993.393785
