Title
Stable multi-dimensional model reduction and IIR filter design
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.
Year
DOI
Venue
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. Abouir130.96
Annie Cuyt216141.48