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L/sub 2/-sensitivity minimization of one- and two-dimensional state-space digital filters subject to L/sub 2/-scaling constraints

机译:受L / sub 2 /缩放约束的一维和二维状态空间数字滤波器的L / sub 2 /灵敏度最小化

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This paper investigates the problem of minimizing an L/sub 2/-sensitivity measure subject to L/sub 2/-norm dynamic-range scaling constraints for one-dimensional (1-D) as well as a class of two-dimensional (2-D) state-space digital filters, where the 2-D digital filters are described by a transposed structure of the Fornasini-Marchesini second local state-space model. In each case, a novel iterative technique is developed to solve the constraint optimization problem directly. The proposed solution methods are largely based on the use of a Lagrange function and some matrix-theoretic techniques. Numerical examples are presented to demonstrate the effectiveness of the proposed techniques.
机译:本文研究针对一维(1-D)以及一类二维(2-D)受到L / sub 2 /范数动态范围缩放约束的L / sub 2 /敏感度度量最小化的问题-D)状态空间数字滤波器,其中2-D数字滤波器由Fornasini-Marchesini第二局部状态空间模型的转置结构描述。在每种情况下,都开发了一种新颖的迭代技术来直接解决约束优化问题。所提出的解决方法主要基于Lagrange函数的使用和某些矩阵理论技术。数值例子表明了所提出技术的有效性。

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