A computational method for the design of 2-D nonlinear Volterra filters

Author

Ramponi, Giovanni F. ; Sicuranza, Giovanni L. ; Ukovich, Walter

Author_Institution

Dipartimento di Elettrotecnica, Trieste Univ., Italy

Volume

35

Issue

9

fYear

1988

fDate

9/1/1988 12:00:00 AM

Firstpage

1095

Lastpage

1102

Abstract

A class of nonlinear 2-D filters based on the truncated discrete Volterra series is considered, together with a suited matrix notation. An optimization method is developed for the design of the filters according to the required input/output relation. The performance of different optimization algorithms is studied, specifically, the method of steepest descent, Powell´s conjugate directions algorithm, and simulated annealing. It is found that the Powell technique is the most suited to the problem. A design example, together with the results obtained after processing a test image by the proposed filters and other standard techniques, is used to compare the performance of the three methods

Keywords

filtering and prediction theory; optimisation; picture processing; two-dimensional digital filters; 2D type; Powell´s conjugate directions algorithm; computational method; image processing; matrix notation; nonlinear Volterra filters; optimization method; simulated annealing; steepest descent method; truncated discrete Volterra series; two-dimensional digital filters; Algorithm design and analysis; Design methodology; Design optimization; Ear; Finite impulse response filter; IIR filters; Image processing; Nonlinear filters; Optimization methods; Two dimensional displays;

fLanguage

English

Journal_Title

Circuits and Systems, IEEE Transactions on

Publisher

ieee

ISSN

0098-4094

Type

jour

DOI

10.1109/31.7569

Filename

7569