关键词: 文化算法, 遗传量子算法, 有限脉冲响应, 无限脉冲响应, 数字滤波器, 滤波器设计

Abstract: The essence of the digital filter design is multi-parameter optimization. In order to realize efficient digital filter, its design was firstly transformed into the constrained optimization problem, and then the Cultural Quantum (CQ) algorithm was used to search optimal value of filter design parameters in the parameter space with parallel search. The proposed cultural quantum algorithm was a multi-dimensional search algorithm for optimization of real numbers, which used mechanisms of the quantum and cultural evolution to update the quantum population space. The computer simulations show that Finite Impulse Response (FIR) and Infinite Impulse Response (IIR) digital filters based on CQ are superior to the filters based on Particle Swarm Optimization (PSO), Quantum Particle Swarm Optimization (QPSO) and Adaptive Quantum Particle Swarm Optimization (AQPSO) in terms of convergence speed and optimization effect.

Key words: Cultural Algorithm (CA), genetic quantum algorithm, Finite Impulse Response (FIR), Infinite Impulse Response (IIR), filter design