Design of FIR digital filters with minimum weight representation

This paper proposes an algorithm for the iterative design of FIR digital filters whose coefficients have minimum weight representation. The total number of nonzero bits is limited. In each iteration the coefficient vector is up-dated so that some sets of the amplitude ripples become smaller. The direction is found by solving linear simultaneous equations. The method evaluates the normalized peak ripples in the minimax sense. Several examples show that the proposed method yields superior filter responses compared to the conventional methods