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.
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:
A General Relationship Between the Sensitivities of A Wave Digital Filter and Its Reference Filter
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.