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 |
|---|---|
| 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 |
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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
Cite this
Stability determination of two-dimensional discrete-time systems. / Premaratne, Kamal.
In: Multidimensional Systems and Signal Processing, Vol. 4, No. 4, 01.10.1993, p. 331-354.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Stability determination of two-dimensional discrete-time systems
AU - Premaratne, Kamal
PY - 1993/10/1
Y1 - 1993/10/1
N2 - 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.
AB - 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.
KW - Bistritz tabular form
KW - bivariate polynomials
KW - Jury tabular form
KW - Schur-Cohn minors
KW - stability
KW - two-dimensional digital filters
KW - two-dimensional discrete-time systems
UR - http://www.scopus.com/inward/record.url?scp=0027675821&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=0027675821&partnerID=8YFLogxK
U2 - 10.1007/BF00989650
DO - 10.1007/BF00989650
M3 - Article
AN - SCOPUS:0027675821
VL - 4
SP - 331
EP - 354
JO - Multidimensional Systems and Signal Processing
JF - Multidimensional Systems and Signal Processing
SN - 0923-6082
IS - 4
ER -