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Accuracy and stability of discrete-time filters generated byhigher-order s-to-z mapping functions

机译:高阶s-z映射功能生成的离散时间滤波器的精度和稳定性

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摘要

This note compares several different approaches to selecting an s-to-z mapping function for the purpose of converting a continuous-time transfer function F(s) to an “equivalent” discrete-time transfer function FD(z). The primary bases of comparison are stability and accuracy. Secondary bases of comparison include: 1) the amount of computation needed to process one input to produce one output, 2) the ease with which the coefficients of FD(z) can be determined, in particular, as the sampling period T is varied, 3) the ease of determining stability, in particular, the maximum value of T for stability, 4) the self-starting capability, and 5) compatibility with decomposition in the s-domain
机译:本说明比较了几种选择s-z映射函数的方法,目的是将连续时间传递函数F(s)转换为“等效”离散时间传递函数FD(z)。比较的主要基础是稳定性和准确性。比较的次要基础包括:1)处理一个输入以产生一个输出所需的计算量,2)可以轻松确定FD(z)的系数,特别是随着采样周期T的变化, 3)确定稳定性的难易程度,特别是稳定性的T最大值,4)自启动能力,5)与s域中分解的相容性

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