An effective allocation of non-zero digits for CSD coefficient FIR filters using 0–1PSO

In this paper, a novel method for effective allocation of non-zero digits in design of CSD (Canonic Signed Digit) coefficient FIR (Finite Impulse Response) filters is proposed. The design problem can be formulated as a mixed integer linear programming problem, which is well-known as a NP-hard problem. Recently, a heuristic approach using the PSO (Particle Swarm Optimization) for solving the problem has been proposed, in which the maximum number of non-zero digits is limited in each coefficient. On the other hand, the maximum number of non-zero digits is limited in total in the proposed method and the 0-1PSO is applied. It enables an effective allocation of nonzero digits and provides a good design. Several examples are shown to present an efficiency of the proposed method.