标题：Fast Two-dimensional WLS Techniques for the Design of Two-dimensioinal FIR Filters
作者：Zhao Ruijie; Lai Xiaoping
作者机构：[Zhao Ruijie] Shandong Univ, Sch Mech Elect & Informat Engn, Weihai 264209, Peoples R China.
会议名称：30th Chinese Control Conference
会议日期：JUL 22-24, 2011
来源：2011 30TH CHINESE CONTROL CONFERENCE (CCC)
关键词：2-D FIR filters; Diagonalization; Quadrantal symmetry; Weighted least; squares design
摘要：This paper focuses on the design of two-dimensional (2-D) quadrantally symmetric finite impulse response (FIR) filters, and presents three very efficient algorithms for the weighted least squares design with a weight matrix that assigns four different weights to four different frequency bands. The first algorithm seeks for iterative solutions to the matrix equation describing the optimality condition of the design problem. The second algorithm aims at the limit solution of the solution sequence of the first algorithm, analytically obtained by using matrix diagonalization techniques. The third algorithm belongs to the category of iterative reweighting technique. It uses the second algorithm as its iteration core, and aims at reducing the maximum magnitude error of the filter by iteratively adjusting the four entry values of the weight matrix. Design examples are provided to demonstrate the performance of the proposed algorithms.