A Discussion on Stability of Linear Time-Variant Digital Filters

Wang Hong-yu; Yin Fu-liang

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A Discussion on Stability of Linear Time-Variant Digital Filters

更新时间：2025-12-08

- A Discussion on Stability of Linear Time-Variant Digital Filters
- Acta Electronica Sinica Issue 6, Pages: 69-76(1988)
- 作者机构：
  
  大连工学院
- 作者简介：
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- Published：1988
- 稿件说明：
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[1]王宏禹,殷福亮.线性时变数字滤波器稳定性的讨论[J].电子学报,1988(06):69-76.

Wang Hong-yu, Yin Fu-liang. A Discussion on Stability of Linear Time-Variant Digital Filters[J]. Acta Electronica Sinica, 1988, (6): 69-76.
[1]王宏禹,殷福亮.线性时变数字滤波器稳定性的讨论[J].电子学报,1988(06):69-76. DOI：

Wang Hong-yu, Yin Fu-liang. A Discussion on Stability of Linear Time-Variant Digital Filters[J]. Acta Electronica Sinica, 1988, (6): 69-76. DOI：

摘要

本文讨论了线性时变数字滤波器的稳定性问题

从时、频两域给出了一般线性时变数字滤波器稳定的充要条件

并对缓慢时变和周期时变两种特殊情况下的时变递归数字滤波器

给出了判别稳定性的方法。

Abstract

The stability problem of linear time-variant （LTV） digital filters is discussed in this paper. The sufficient and necessary conditions for the stability of LTV digital filters are giren for the time and frequency domain. The method to test the stability of slowly-varying or periodically time-varying recursive digital filters is obtained.

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