高阶阻尼LTI系统时间常数与3dB截止的关系

2018 IEEE 61st International Midwest Symposium on Circuits and Systems (MWSCAS) Pub Date : 2018-08-01 DOI:10.1109/MWSCAS.2018.8624020

V. Prodanov, Katherina Prodanov

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引用次数: 0

摘要

本文研究线性时不变(LTI)系统，并研究3dB截止和时间常数之间的联系。结果表明，低通阻尼网络的截止频率可以由由系统时间常数计算的p模的倒数来估计。此外，为了获得良好的精度，p因子必须具有分数值，例如p=1.7。导出了两个公式，并使用蒙特卡罗模拟对其性能进行了评估，结果显示大多数情况下误差在3%以下。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Relationship Between Time-constants and 3dB Cutoff of High-Order Damped LTI Systems

This paper deals with linear time-invariant (LTI) systems and examines the link between the 3dB cutoff and time-constants. It shows that the cutoff frequency of a low-pass damped network can be estimated from the reciprocal of a p-norm calculated from the system's time-constants. Furthermore, to achieve good accuracy the p factor must have a fractional value, for example, p=1.7. Two formulas are derived, and their performance evaluated using Monte Carlo simulations which reveal a sub-3% error for most cases.

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2018 IEEE 61st International Midwest Symposium on Circuits and Systems (MWSCAS)

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