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Stability of Weighted Darma Filters

Published online by Cambridge University Press:  20 November 2018

K. J. Harrison ,
J. A. Ward  and
L-J. Eaton
K. J. Harrison
Affiliation:
Department of Mathematics and Statistics Murdoch University Murdoch, WA 6150 Australia, e-mail: harrison@prodigal.murdoch.edu.au
J. A. Ward
Affiliation:
Department of Mathematics and Statistics Murdoch University Murdoch, WA 6150 Australia, e-mail: ward@prodigal.murdoch.edu.au
L-J. Eaton
Affiliation:
Department of Mathematics and Statistics University of Canterbury Christchurch New Zealand, e-mail: L.Eaton@math.canterbury.ac.nz
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Abstract

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We study the stability of linear filters associated with certain types of linear difference equations with variable coefficients. We show that stability is determined by the locations of the poles of a rational transfer function relative to the spectrum of an associated weighted shift operator. The known theory for filters associated with constant-coefficient difference equations is a special case.

Keywords

47A6247B3793D2542A8547N70Difference equationsadaptive DARMA filtersweighted shiftsstability and boundednessautomatic continuity
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 41 , Issue 1 , 01 March 1998 , pp. 49 - 64
Copyright
Copyright © Canadian Mathematical Society 1998

References

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