无乘法器近似线性相位格波数字滤波器的设计算法

J. Yli-Kaakinen, T. Saramäki
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引用次数: 30

摘要

本文介绍了一种设计无乘法器近似线性相位点阵波数字滤波器(两个全通滤波器并联)的有效算法。系数优化分为两个基本步骤。首先,采用非线性优化算法确定有限精度系数的参数空间,包括滤波器满足给定振幅和相位规范的可行空间;第二步涉及在该空间中查找过滤器参数,使结果过滤器符合给定的标准,并使用最简单的系数表示形式。该算法能保证找到最优的无乘数有限字长解。这是通过一个例子来说明的。
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An algorithm for the design of multiplierless approximately linear-phase lattice-wave digital filters
This paper describes an efficient algorithm for the design of multiplierless approximately linear-phase lattice wave digital (LWD) filters (parallel connection of two all-pass filters). The coefficient optimization is performed in two basic steps. First, a nonlinear optimization algorithm is used for determining a parameter space of the finite-precision coefficients including the feasible space where the filter meets the given amplitude and phase specifications. The second step involves finding the filter parameters in this space such that the resulting filter meets the given criteria with the simplest coefficient representation forms. The proposed algorithm guarantees that the optimum multiplierless finite-wordlength solution can be found. This is illustrated by means of an example.
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