An iterative constrained Lp design algorithm for minimum-phase FIR filters with RUL reweighting

Minimum-phase finite impulse response (FIR) filters have found many applications in digital signal processing and communications. An iterative constrained minimal L p elliptic error method was proposed in [15] to convert the nonconvex constrained L p magnitude error design of FIR filters into a series of convex constrained L p subproblems. In this paper, the improved Lawson algorithm by Rice and Usow is introduced to solve the subproblems, obtaining a convergent algorithm for the constrained L p magnitude error design of minimum-phase FIR filters with arbitrarily large p values. Design examples demonstrate the effectiveness of the proposed algorithm.