Stable multi-dimensional model reduction and IIR filter design
by J. Abouir, A. Cuyt
International Journal of Computing Science and Mathematics (IJCSM), Vol. 1, No. 1, 2007

Abstract: 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.

Online publication date: Fri, 25-May-2007

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