Design of finite word length FIR digital filter using a parallel genetic algorithm

D. Xu, M.L. Daley
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引用次数: 11

Abstract

The application of a parallel genetic algorithm implemented with a Hypercube computer to design optimal finite-wordlength finite-impulse-response digital filters is described. Two examples of this application to the design of a Chebyshev low-pass digital filter are given. One example, describing a filter with a length of 40 coefficients and 10-b wordlength, is used for comparison to a previously reported identical design problem which was solved with a general-purpose integer programming algorithm. This comparison reveals that the genetic algorithm produces a better Chebyshev approximation to the desired frequency response. The second example describes the results of the application of the genetic algorithm to the design of a high-order filter developed for the processing of seismic signals. The characteristics of this second filter with 140 coefficients and a 16-b wordlength are compared to those obtained by a rounded-off method.<>
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用并行遗传算法设计有限字长FIR数字滤波器
描述了在超立方体计算机上实现的并行遗传算法在设计最优有限字长有限脉冲响应数字滤波器中的应用。文中给出了该方法在切比雪夫低通数字滤波器设计中的两个应用实例。一个例子,描述了一个长度为40个系数和10-b字长的过滤器,用于与先前报道的使用通用整数规划算法解决的相同设计问题进行比较。这一比较表明,遗传算法产生了较好的切比雪夫近似所需的频率响应。第二个例子描述了将遗传算法应用于设计用于处理地震信号的高阶滤波器的结果。这个具有140个系数和16-b字长的第二个滤波器的特性与通过舍入方法获得的特性进行了比较
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