2-D STATE-SPACE DIGITAL FILTERS WITH FEWER MULTIPLIERS.

被引：0

作者：

Lu, Wu-Sheng ^{[1
]}

Antoniou, Andreas ^{[1
]}

机构：

[1] Univ of Victoria, BC, Can, Univ of Victoria, BC, Can

来源：

IEEE transactions on circuits and systems | 1986年 / CAS-33卷 / 09期

关键词：

MATHEMATICAL TECHNIQUES - State Space Methods - Mathematical transformations - Signal filtering and prediction;

D O I：

10.1109/tcs.1986.1086016

中图分类号：

学科分类号：

摘要：

It is shown that as many as left bracket m(m-1) plus n(n-1) right bracket /2 multiplications can be eliminated in a local state-space realization of a 2-D digital filter of the order (m, n) by applying an appropriate transformation from the class of orthogonal similarity transformations. Further, it is demonstrated that the class of similarity transformations can be enlarged so that one can either introduce m plus n free parameters in the sensitivity function, which may be chosen to reduce the sensitivity of the filter, or to eliminate m plus n additional multiplications while keeping the filter free of overflow oscillations. A numerical example is given to illustrate the various techniques.

引用

页码：882 / 891