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 (US) |
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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 |
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