数字IIR高通滤波器优化设计的对抗辅助Cat群优化算法

K. Dhaliwal, J. S. Dhillon
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引用次数: 2

摘要

摘要:本文提出了一种利用猫群优化(CSO)和对立学习技术设计最优稳定的数字无限脉冲响应(IIR)高通(HP)滤波器的求解方法。由于分母项的存在,数字IIR滤波器的误差面是非线性和多模态的。因此,传统的设计技术往往陷入局部最小的困境。CSO是一种基于种群的全局优化技术,具有全局和局部搜索能力。在此,采用多准则优化作为设计准则,在满足设计过程中施加的稳定性约束的同时,实现幅度近似误差和纹波幅度的最小化。为了从改进的解决方案集开始,CSO中包含了基于对立的学习策略。该算法用于设计数字IIR高通(HP)滤波器,并试图找到近似接近期望滤波器响应的最优滤波器系数。计算结果表明,该算法能够设计出稳定、最优的数字IIR高压滤波器结构,优于其他算法的设计。
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Opposition aided Cat Swarm OptimizationAlgorithm for Optimal Digital IIR High PassFilter Design
1 ABSTRACT: This paper presents a solution methodology for the designing of optimal and stable digital infinite impulse response (IIR) high pass (HP) filter by employing the cat swarm optimization (CSO) technique with oppositional learning. Because of the presence of the denominator terms, the error surface of digital IIR filters is non linear and multimodal. Therefore, the traditional designing techniques usually got trapped in the local minim. CSO is a population based global optimization technique which has global as well as local search capabilities. Here, the multicriterion optimization is used as the design criterion that undertakes the minimization of magnitude approximation error and minimization of ripple magnitudes while satisfying the stability constraints that are imposed during the design process. For the intent of starting with an improved solution set, the opposition based learning strategy is included in CSO. The developed algorithm is used to design the digital IIR high pass (HP) filter and attempts to find the optimal filter coefficients which are approximately close to the desired filter response. The computational results shows that the proposed algorithm is capable of designing the stable and optimal digital IIR HP filter structure that is better to the designs presented by other algorithms.
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