Title :
A framework for 2D hyperstability theory based provably convergent adaptive 2D IIR filtering
Author_Institution :
Dept. of Electr. Eng. & Comput. Sci., Stevens Inst. of Technol., Hoboken, NJ, USA
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;
Conference_Titel :
Decision and Control, 1990., Proceedings of the 29th IEEE Conference on
Conference_Location :
Honolulu, HI
DOI :
10.1109/CDC.1990.203394
