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A New Mutated Quantum-Behaved Particle Swarm Optimizer for Digital IIR Filter Design

Abstract

Adaptive infinite impulse response (IIR) filters have shown their worth in a wide range of practical applications. Because the error surface of IIR filters is multimodal in most cases, global optimization techniques are required for avoiding local minima. In this paper, we employ a global optimization algorithm, Quantum-behaved particle swarm optimization (QPSO) that was proposed by us previously, and its mutated version in the design of digital IIR filter. The mechanism in QPSO is based on the quantum behaviour of particles in a potential well and particle swarm optimization (PSO) algorithm. QPSO is characterized by fast convergence, good search ability, and easy implementation. The mutated QPSO (MuQPSO) is proposed in this paper by using a random vector in QPSO to increase the randomness and to enhance the global search ability. Experimental results on three examples show that QPSO and MuQPSO are superior to genetic algorithm (GA), differential evolution (DE) algorithm, and PSO algorithm in quality, convergence speed, and robustness.

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Correspondence to Wei Fang.

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Open Access This article is distributed under the terms of the Creative Commons Attribution 2.0 International License (https://creativecommons.org/licenses/by/2.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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Fang, W., Sun, J. & Xu, W. A New Mutated Quantum-Behaved Particle Swarm Optimizer for Digital IIR Filter Design. EURASIP J. Adv. Signal Process. 2009, 367465 (2010). https://doi.org/10.1155/2009/367465

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Keywords

  • Genetic Algorithm
  • Particle Swarm Optimization
  • Global Optimization
  • Differential Evolution
  • Particle Swarm Optimization Algorithm