Abstract | ||
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It is well-known that model reduction techniques applied to stable multi-dimensional Linear Shift-Invariant (LSI) systems with Infinite-extent Impulse Response (IIR) do not necessarily guarantee a stable reduced system. Several conditions exist to check stability a posteriori. In this paper we outline a new technique that guarantees, a priori, that the system or filter is stable. In Section 1 we establish the necessary notation and definitions to deal with multi-dimensional systems and filters. Section 2 introduces the technique of multivariate Pade-type approximation and deals with stability. In Section 3 we illustrate the use of the newly proposed technique in filter design. |
Year | DOI | Venue |
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2007 | 10.1504/IJCSM.2007.013761 | IJCSM |
Keywords | Field | DocType |
model order reduction, rational transfer function, IIR system, digital filter, stability | Root-raised-cosine filter,Digital filter,Linear filter,Control theory,Infinite impulse response,2D Filters,Adaptive filter,Finite impulse response,Mathematics,Filter design | Journal |
Volume | Issue | ISSN |
1 | 1 | 1752-5055 |
Citations | PageRank | References |
2 | 0.53 | 3 |
Authors | ||
2 |
Name | Order | Citations | PageRank |
---|---|---|---|
J. Abouir | 1 | 3 | 0.96 |
Annie Cuyt | 2 | 161 | 41.48 |