Design of a higher-order digital differentiator using a particle swarm optimization approach

This paper applies a novel optimization algorithm, particle swarm optimization (PSO), to design a higher-order differentiator that contains two different structures of even and odd orders. Four cases of linear phase finite impulse response (FIR) filters are designed to match the prescribed differentiation frequency response by using PSO algorithm. The algorithm with real-valued manipulations uses the velocity updating and position updating formulas to optimally solve the impulse response of the filter to the digital differentiator design problem. Simulation results reveals that the proposed method provides much better design performance than the well-known McClellan–Parks method.