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L2-sensitivity minimization of one- and two-dimensional state-space digital filters subject to L2-scaling constraints

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3 Author(s)
Hinamoto, T. ; Graduate Sch. of Eng., Hiroshima Univ., Japan ; Iwata, K. ; Wu-Sheng Lu

This paper investigates the problem of minimizing an L2-sensitivity measure subject to L2-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.

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Signal Processing, IEEE Transactions on  (Volume:54 ,  Issue: 5 )