波数字滤波器与参考滤波器的灵敏度之间的关系

杜裕曾

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波数字滤波器与参考滤波器的灵敏度之间的关系

更新时间：2025-12-08

- 波数字滤波器与参考滤波器的灵敏度之间的关系
- A General Relationship Between the Sensitivities of A Wave Digital Filter and Its Reference Filter
- 电子学报 1986年第2期页码：53-61
- 作者机构：
  
  北京航空学院
- 作者简介：
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- 纸质出版：1986
- 稿件说明：
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[1]杜裕曾.波数字滤波器与参考滤波器的灵敏度之间的关系[J].电子学报,1986(02):53-61.

Du Yu-zeng. A General Relationship Between the Sensitivities of A Wave Digital Filter and Its Reference Filter[J]. Acta Electronica Sinica, 1986, (2): 53-61.
[1]杜裕曾.波数字滤波器与参考滤波器的灵敏度之间的关系[J].电子学报,1986(02):53-61. DOI：

Du Yu-zeng. A General Relationship Between the Sensitivities of A Wave Digital Filter and Its Reference Filter[J]. Acta Electronica Sinica, 1986, (2): 53-61. DOI：

摘要

通过对波数字滤波器的低灵敏度性质进行理论分析

获得了波数字滤波器与其参考滤波器灵敏度之间直接关联的公式

解释了以往从数值计算上观察到的结果

并据以从参考滤波器的灵敏度简捷地推求波数字滤波器的灵敏度。文末给出了计算实例以说明上述结果。

Abstract

An equation which reveals the general relationship between the sensitivities of a wave digital filter and the associated reference filter is derived. With this result

the low sensitivity of wave digital filters

which was observed numerically and experimently

can be well explainted theoretically. The result also provides an efficient way of computing the sensitivity of a wave digital filter from that of the associated reference filter

and may be useful for optimization of wave digital filter hopefully. A numerical example for sensitivity computation is given to illustrate the use of the result.

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