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

Electrical engineering [ 540 ]

eng

IEEE

Copyright (c) 2006 IEEE. Personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or redistribution to servers or lists, or to reuse any copyrighted componet of this word in other works must be obtained from the IEEE.

[ISSN] 1053-587X

[DOI] 10.1109/TSP.2006.870584

[NCID] AA10788333

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