1-D和2-D可分分母数字滤波器规范形式的12 -灵敏度分析

2012 IEEE 55th International Midwest Symposium on Circuits and Systems (MWSCAS) Pub Date : 2012-09-05 DOI:10.1109/MWSCAS.2012.6292171

Y. Hinamoto, A. Doi

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引用次数: 2

摘要

基于纯l2范数，通过考虑0和1元素，更精确地分析了一维(1- d)和二维(2-D)可分分母状态空间数字滤波器中规范形式的l2敏感性。首先，研究了状态空间数字滤波器中可控制规范形式和可观察规范形式的十二灵敏度度量。其次，研究了二维可分分母状态空间数字滤波器标准形式的12灵敏度度量。最后，给出了数值算例，将所得到的12个灵敏度测量值与常规测量值进行了比较。

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Analysis of l2-sensitivity for canonical forms in 1-D and 2-D separable-denominator digital filters

Based on a pure l2 norm, the l2-sensitivity for canonical forms in one-dimensional (1-D) and two-dimensional (2-D) separable-denoninator state-space digital filters is analyzed more precisely by taking into account 0 and 1 elements. First, l2-sensitivity measures are explored for a controllable canonical form as well as an observable canonical form in state-space digital filters. Next, an l2-sensitivity measure is investigated for a canonical form in 2-D separable-denominator state-space digital filters. Finally, numerical examples are presented to compare the resulting l2-sensitivity measures with the conventional ones.

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2012 IEEE 55th International Midwest Symposium on Circuits and Systems (MWSCAS)

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