Normalized peak ripple magnitude as an objective function in discrete coefficient FIR filter design

T. Çiloglu
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引用次数: 0

Abstract

Normalized peak ripple magnitude (NPRM) has been a convenient design criterion for discrete coefficient FIR filters. "Filter gain" is the major concern for NPRM. This paper presents an exact closed form expression of the filter gain for a given set of filter coefficients. Based on this expression the characteristics of NPRM cost function are discussed. The selection of the initial value of the filter gain for suboptimal design methods is considered. Deficiency of the previously proposed methods is pointed out and a way to overcome the problem is presented. Proposed solution provides additional information that has been proved to be useful in determining the initial point when using a suboptimal optimization method.
在离散系数FIR滤波器设计中,将归一化峰值纹波幅值作为目标函数
归一化峰值纹波幅值(NPRM)已成为离散系数FIR滤波器的一种方便的设计准则。“滤波器增益”是NPRM的主要关注点。本文给出了给定滤波器系数集合下滤波器增益的精确封闭表达式。在此基础上,讨论了NPRM成本函数的特点。考虑了次优设计方法中滤波器增益初始值的选择。指出了现有方法的不足,并提出了克服问题的途径。提出的解决方案提供了额外的信息,这些信息已被证明是在使用次优优化方法时确定初始点的有用信息。
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