Abstract
The recent interest in delta-operator (or, δ-operator) formulated discrete-time systems (or, δ-systems) is due mainly to (a) their superior finite wordlength characteristics as compared to their more conventional shift-operator (or, q-operator) counterparts (or, q-systems), and (b) the possibility of a more unified treatment of both continuous- and discrete-time systems. With such advantages, design, analysis, and implementation of two-dimensional (2-D) discrete-time systems using the δ-operator is indeed warranted. Towards this end, the work in this paper addresses the development of an easily implementable direct algorithm for stability checking of 2-D δ-system transfer function models. Indirect methods that utilize transformation techniques are not pursued since they can be numerically unreliable. In developing such an algorithm, a tabular form for stability checking of δ-system characteristic polynomials with complex-valued coefficients and certain quantities that may be regarded as their corresponding Schur-Cohn minors are also proposed.
| Original language | English |
|---|---|
| Pages (from-to) | 287-312 |
| Number of pages | 26 |
| Journal | Multidimensional Systems and Signal Processing |
| Volume | 6 |
| Issue number | 4 |
| DOIs | |
| State | Published - Oct 1 1995 |
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Keywords
- δ-operator formulated discrete-time systems
- bivariate polynomials
- 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
An algorithm for stability determination of two-dimensional delta-operator formulated discrete-time systems. / Premaratne, Kamal; Boujarwah, A. S.
In: Multidimensional Systems and Signal Processing, Vol. 6, No. 4, 01.10.1995, p. 287-312.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - An algorithm for stability determination of two-dimensional delta-operator formulated discrete-time systems
AU - Premaratne, Kamal
AU - Boujarwah, A. S.
PY - 1995/10/1
Y1 - 1995/10/1
N2 - The recent interest in delta-operator (or, δ-operator) formulated discrete-time systems (or, δ-systems) is due mainly to (a) their superior finite wordlength characteristics as compared to their more conventional shift-operator (or, q-operator) counterparts (or, q-systems), and (b) the possibility of a more unified treatment of both continuous- and discrete-time systems. With such advantages, design, analysis, and implementation of two-dimensional (2-D) discrete-time systems using the δ-operator is indeed warranted. Towards this end, the work in this paper addresses the development of an easily implementable direct algorithm for stability checking of 2-D δ-system transfer function models. Indirect methods that utilize transformation techniques are not pursued since they can be numerically unreliable. In developing such an algorithm, a tabular form for stability checking of δ-system characteristic polynomials with complex-valued coefficients and certain quantities that may be regarded as their corresponding Schur-Cohn minors are also proposed.
AB - The recent interest in delta-operator (or, δ-operator) formulated discrete-time systems (or, δ-systems) is due mainly to (a) their superior finite wordlength characteristics as compared to their more conventional shift-operator (or, q-operator) counterparts (or, q-systems), and (b) the possibility of a more unified treatment of both continuous- and discrete-time systems. With such advantages, design, analysis, and implementation of two-dimensional (2-D) discrete-time systems using the δ-operator is indeed warranted. Towards this end, the work in this paper addresses the development of an easily implementable direct algorithm for stability checking of 2-D δ-system transfer function models. Indirect methods that utilize transformation techniques are not pursued since they can be numerically unreliable. In developing such an algorithm, a tabular form for stability checking of δ-system characteristic polynomials with complex-valued coefficients and certain quantities that may be regarded as their corresponding Schur-Cohn minors are also proposed.
KW - δ-operator formulated discrete-time systems
KW - bivariate polynomials
KW - Schur-Cohn minors
KW - stability
KW - two-dimensional digital filters
KW - Two-dimensional discrete-time systems
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U2 - 10.1007/BF00983557
DO - 10.1007/BF00983557
M3 - Article
VL - 6
SP - 287
EP - 312
JO - Multidimensional Systems and Signal Processing
JF - Multidimensional Systems and Signal Processing
SN - 0923-6082
IS - 4
ER -