L2-Sensitivity Minimization of One- and Two- Dimensional State.Space Digital Filters Subject to L2-Scaling Constraints

Hinamoto Takao

Iwata Ken-ichi

Lu Wu-Sheng

IEEE Transactions on Signal Processing

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.

A class of 2-D state.space digital filters

Lagrange's function

L2-norm dynamic-range scaling constraints

L2-sensitivity minimization

optimal realization

state-space digital filters

電気工学 [ 540 ]

英語

IEEE

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[ISSN] 1053-587X

[DOI] 10.1109/TSP.2006.870584

[NCID] AA10788333

[DOI] http://dx.doi.org/10.1109/TSP.2006.870584