IIR Digital Filter Design Based on Cultural Quantum-inspired Flower Pollination Algorithm

In order to resolve the multi-parameter optimization problem of infinite impulse response (IIR) digital filter design, a cultural quantum-inspired flower pollination algorithm (CQFPA) is proposed. The proposed CQFPA is a multidimensional search algorithm for optimization of real numbers, and uses mechanisms of the quantum and cultural evolution to update the quantum pollens, which may improve the capability of algorithm to find the optimal solution. Computer simulations have showed that IIR digital filters based on the CQFPA are superior to previous filters based on quantum-behaved particle swarm optimization (QPSO) and adaptive quantum-behaved particle swarm optimization (AQPSO) in the convergence speed and optimization results. The effectiveness and superiority of the CQFPA are also demonstrated by simulation experiments.