Title :
A Slice Based 3-D Schur Cohn Stability Criterion
Author :
Serban, Ioan ; Najim, M.
Author_Institution :
Equipe Signal et Image, LAPS UMR, France
Abstract :
In this paper a new necessary and sufficient criterion of BIBO stability of 3-D filters is given, based on a recent n-D extension of the Schur coefficients associated to a polynomial. The criterion relies upon the slice functions mechanism, and is given as an extended 3-D Jury table. Several examples are provided to show how the new procedure reduces the complexity of stability tests that are using the Anderson Jury criterion of stability.
Keywords :
multidimensional digital filters; stability; 3D filters; BIBO stability; slice based 3D Schur Cohn stability criterion; slice functions mechanism; Algorithm design and analysis; Computational complexity; Digital filters; Multidimensional systems; Polynomials; Reflection; Stability analysis; Stability criteria; Testing; Multidimensional systems; Stability criteria;
Conference_Titel :
Acoustics, Speech and Signal Processing, 2007. ICASSP 2007. IEEE International Conference on
Conference_Location :
Honolulu, HI
Print_ISBN :
1-4244-0727-3
DOI :
10.1109/ICASSP.2007.367109
