Abstract
In determining root distribution of univariate polynomials with real or complex-valued coefficients, the Bistritz tabular form offers a significant computational advantage. Stability studies of two-dimensional (2-D) discrete-time systems involve univariate polynomials possessing parameter-dependent coefficients, where the parameter takes values on the unit circle in the complex plane. This paper investigates the application of Bistritz tabular form in determining stability of 2-D discrete-time systems, and for this purpose we present two algorithms. Both algorithms utilize a recent result that has established the relationship between Schur-Cohn minors and the entries of the Bistritz tabular form corresponding to a given polynomial. A comparison between the use of the modified Jury table and the Bistritz table in stability checking of 2-D discrete-time systems is also presented.
Original language | English (US) |
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Pages (from-to) | 331-354 |
Number of pages | 24 |
Journal | Multidimensional Systems and Signal Processing |
Volume | 4 |
Issue number | 4 |
DOIs | |
State | Published - Oct 1 1993 |
Keywords
- Bistritz tabular form
- bivariate polynomials
- Jury tabular form
- Schur-Cohn minors
- stability
- two-dimensional digital filters
- two-dimensional discrete-time systems
ASJC Scopus subject areas
- Theoretical Computer Science
- Electrical and Electronic Engineering
- Signal Processing
- Computational Theory and Mathematics