标题：A Bi-matrix-based Conjugate Gradient Algorithm for the WLS Design of Centro-symmetric 2-D FIR Filters
作者：Zhao, Ruijie; Lai, Xiaoping; Lin, Zhiping; Gao, Zhifeng
作者机构：[Zhao, Ruijie; Gao, Zhifeng] Shandong Univ, Sch Mech Elect & Informat Engn, Weihai, Peoples R China.; [Lai, Xiaoping] Hangzhou Dianzi Univ, Inst Inf 更多
会议名称：23rd IEEE International Conference on Digital Signal Processing (DSP)
会议日期：NOV 19-21, 2018
来源：2018 IEEE 23RD INTERNATIONAL CONFERENCE ON DIGITAL SIGNAL PROCESSING (DSP)
关键词：Centro-symmetric 2-D FIR Filter; Conjugate Gradient Algorithm; Weighted; Least Squares Design
摘要：The weighted least squares (WLS) design problem of centro-symmetric two-dimensional (2-D) FIR filters is investigated in this paper. Firstly, the optimality condition of the design problem is expressed as a linear operator equation in two matrix variables containing the filter design coefficients. Then by properly defining an inner product on the solution space, a bi-matrix-based conjugate gradient algorithm is obtained to solve the linear operator equation. The proposed design algorithm is shown to converge in the finite steps. An illustrative design example is given to show that the proposed algorithm consumes much less design time and has the higher design accuracy than that by some existing methods.