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Bilinear s-z with Frequency Transformation Using Pascal Matrix Operation

机译:使用Pascal矩阵运算进行频率变换的双线性s-z

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摘要

This paper presents an alternative method used for analog domain to digital domain transformation based on bilinear transform. The Pascal matrix is used to transform analog transfer function on s plane to digital transfer function on z plane. Moreover, the frequency transformation from normalized analog low-pass filter prototype to digital low-pass, high-pass, band-pass and band-stop filter will be considered incorporate to Pascal matrix operation. This method can be cleared the computation complexity of original bilinear transform, especially to solve the difficulty in case of higher order of digital filter because all of computation use matrix operation. Therefore, it is easy and appropriate to program this method on personal computer or scientific calculator.
机译:本文提出了一种基于双线性变换的模拟域到数字域转换的替代方法。 Pascal矩阵用于将s平面上的模拟传递函数转换为z平面上的数字传递函数。此外,从标准化模拟低通滤波器原型到数字低通,高通,带通和带阻滤波器的频率转换将被考虑纳入Pascal矩阵运算。该方法可以消除原始双线性变换的计算复杂性,尤其是解决了数字滤波器高阶情况下的困难,因为所有计算都使用矩阵运算。因此,在个人计算机或科学计算器上对该方法进行编程很容易且适当。

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