L2-sensitivity analysis and minimization of 2-D separable-denominator state-space digital filters

被引:18
|
作者
Hinamoto, T [1 ]
Sugie, Y [1 ]
机构
[1] Hiroshima Univ, Grad Sch Engn, Hiroshima, Japan
关键词
L-2-sensitivity analysis; L-2-sensitivity minimization; optimal filter realization; Roesser's local state-space models; separable denominator; two-dimensional digital filters;
D O I
10.1109/TSP.2002.805238
中图分类号
TM [电工技术]; TN [电子技术、通信技术];
学科分类号
0808 ; 0809 ;
摘要
For two-dimensional (2-D) state-space digital filters that are separable in the denominator, the coefficient sensitivity is analyzed by using a pure L-2-norm, and then, the problem of minimizing the L-2-sensitivity is considered. First, a novel expression is developed in closed form for the evaluation of the L-2-sensitivity. Next, an iterative procedure is presented for synthesizing the optimal filter structures that minimize the L-2-sensitivity. Finally, a numerical example is given to illustrate the utility of the proposed technique.
引用
收藏
页码:3107 / 3114
页数:8
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