A framework for 2D hyperstability theory based provably convergent adaptive 2D IIR filtering

Author

Basu, Sankar

Author_Institution

Dept. of Electr. Eng. & Comput. Sci., Stevens Inst. of Technol., Hoboken, NJ, USA

fYear

1990

fDate

5-7 Dec 1990

Firstpage

3254

Abstract

A set of results for 2D quarter plane causal systems reminiscent of 1D hyperstability theory is reported. The key to this development is a little-known spectral factorability type 2D result of E. Landau (1906). The tools used are largely based on notions of passivity. An adaptive 2D recursive filtering scheme potentially useful in propagating-wave-type 2D problems is considered, and it is shown via the 2D hyperstability result that the scheme converges in an appropriate sense

Keywords

adaptive filters; filtering and prediction theory; stability; 2D IIR filters; 2D hyperstability; 2D quarter plane causal systems; adaptive 2D recursive filtering; spectral factorability; Adaptive filters; Adaptive signal processing; Control systems; Convergence; Filtering theory; IIR filters; Polynomials; Tail; Transfer functions; Two dimensional displays;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control, 1990., Proceedings of the 29th IEEE Conference on

Conference_Location

Honolulu, HI

Type

conf

DOI

10.1109/CDC.1990.203394

Filename

203394

Link To Document

https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=3075315