Two-dimensional block diagonal LMS adaptive filtering

Author

Azimi-Sadjadi, Mahmood R. ; Pan, Hongye

Author_Institution

Dept. of Electr. Eng., Colorado State Univ., Fort Collins, CO, USA

Volume

42

Issue

9

fYear

1994

fDate

9/1/1994 12:00:00 AM

Firstpage

2420

Lastpage

2429

Abstract

The paper is concerned with the development of two-dimensional (2D) adaptive filters using the block diagonal least mean squared (BDLMS) method. In this adaptive filtering scheme, the image is scanned and processed block by block in a diagonal fashion, and the filter weights are adjusted once per block rather than once per pixel. The diagonal scanning is adopted to avoid the problems inherent in the 1D standard scanning schemes and to account for the correlations in two directions. The weight updating equation for 2D BDLMS is derived, and the convergence properties of the algorithms are investigated. Simulation results that indicate the effectiveness of the 2D BDLMS when used for image enhancement, estimation, and detection applications are presented

Keywords

adaptive filters; convergence of numerical methods; filtering and prediction theory; image processing; least squares approximations; two-dimensional digital filters; block diagonal least mean squared method; convergence properties; correlations; detection applications; diagonal scanning; estimation; filter weights; image; image enhancement; two-dimensional block diagonal adaptive filtering; weight updating equation; Adaptive control; Adaptive filters; Convergence; Filtering; Image enhancement; Least squares approximation; Pixel; System identification; Transversal filters; Two dimensional displays;

fLanguage

English

Journal_Title

Signal Processing, IEEE Transactions on

Publisher

ieee

ISSN

1053-587X

Type

jour

DOI

10.1109/78.317863

Filename

317863