A Note on Constrained Least Squares Design of M-D FIR Filter Based on Convex Projection Techniques

摘要

Recently, a great deal of effort has been devoted to the design problem of "constrained least squares M-D FIR filter" because a significant improvement of the squared error is expected by a slight relaxation of the minimax error condition. Unfortunately, no design method has been reported, which has some theoretical guarantee of the convergence to the optimal so lution. In this paper, we propose a class of novel design methods of "constrained least squares M-D FIR filter." The most remark- able feature is that all of the proposed methods have theoretical guarantees of convergences to the unique optimal solution under any consistent set of prescribed maximal error conditions.