标题：Efficient 2-D based algorithms for WLS designs of 2-D FIR filters with arbitrary weighting functions
作者：Ruijie Zhao;Xiaoping Lai
作者机构：[Zhao, R] School of Mechanical, Electrical and Information Engineering, Shandong University at Weihai, Weihai 264209, China;[ Lai, X] Institute of Inf 更多
通讯作者地址：[Zhao, RJ]Shandong Univ Weihai, Sch Mech Elect & Informat Engn, Weihai 264209, Peoples R China.
来源：Multidimensional systems and signal processing
关键词：2-D FIR filter;2-D based algorithm;Linear operator;Weighted least squares design
摘要：The impulse response coefficients of a two-dimensional (2-D) finite impulse response (FIR) filter naturally constitute a matrix. It has been shown by several researchers that, two-dimension (2-D) based algorithms that retain the natural matrix form of the 2-D filter\'s coefficients are computationally much more efficient than the conventional one-dimension (1-D) based algorithms that rearrange the coefficient matrix into a vector. In this paper, two 2-D based algorithms are presented for the weighted least squares (WLS) design of quadrantally symmetric 2-D FIR filters with arbitrary weighting functions. Both algorithms are based on matrix iterative techniques with guaranteed convergence, and they solve the WLS design problems accurately and efficiently. The convergence rate, solution accuracy and design time of these proposed algorithms are demonstrated and compared with existing algorithms through two design examples.