Pan, Hongye, authorAzimi-Sadjadi, Mahmood R., authorIEEE, publisher2007-01-032007-01-031994Azimi-Sadjadi, Mahmood R. and Hongye Pan, Two-Dimensional Block Diagonal LMS Adaptive Filtering, IEEE Transactions on Signal Processing 42, no. 9 (September 1994): 2420-2429.http://hdl.handle.net/10217/935This paper is concerned with the development of a two-dimensional (2-D) 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 1-D standard scanning schemes and to account for the correlations in two directions. The weight updating equation for 2-D BDLMS is derived and the convergence properties of the algorithms are investigated. Simulation results that indicate the effectiveness of the 2-D BDLMS when used for image enhancement, estimation, and detection applications are presented.born digitalarticleseng©1994 IEEE.Copyright and other restrictions may apply. User is responsible for compliance with all applicable laws. For information about copyright law, please see https://libguides.colostate.edu/copyright.adaptive filtersconvergence of numerical methodstwo-dimensional digital filtersimage processingfiltering and prediction theoryleast squares approximationsText