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Levin's Transformation-based Continuous-Time Linear-Phase Selective Filters

机译:列文基于变换的连续时间线性相位选择滤波器

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摘要

In this paper, authors derive a family of linear-phase selective filters based on Levin's transformation. The approach consists of developing an approximation to the Laplace transform of impulse response of the chosen linear-phase selective filter using a sum of shifted and scaled causal splines. This approximation is then rationalized using Levin's transformation to obtain a realizable medium-order transfer function which is then balanced and truncated to the required order. The magnitude and phase features of the filter derived are presented and discussed. It is shown that the closed-form solution obtained can act as a starting point for approximation methods that use local search routines.
机译:在本文中,作者基于Levin变换推导了一系列线性相位选择滤波器。该方法包括使用移位的和缩放的因果样条的总和来开发所选线性相位选择性滤波器的脉冲响应的拉普拉斯变换的近似值。然后使用Levin变换对该近似值进行合理化处理,以获得可实现的中阶传递函数,然后将其平衡并截断为所需阶数。介绍并讨论了导出的滤波器的幅度和相位特征。结果表明,所获得的封闭形式解可以作为使用局部搜索例程的近似方法的起点。

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