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

IEEE Transactions on Signal Processing Volume 54 Issue 5 Page 1804-1812 published_at 2006-05
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Title ( eng )
L2-Sensitivity Minimization of One- and Two- Dimensional State.Space Digital Filters Subject to L2-Scaling Constraints
Creator
Hinamoto Takao
Iwata Ken-ichi
Lu Wu-Sheng
Source Title
IEEE Transactions on Signal Processing
Volume 54
Issue 5
Start Page 1804
End Page 1812
Abstract
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.
Keywords
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
NDC
Electrical engineering [ 540 ]
Language
eng
Resource Type journal article
Publisher
IEEE
Date of Issued 2006-05
Rights
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.
Publish Type Version of Record
Access Rights open access
Source Identifier
[ISSN] 1053-587X
[DOI] 10.1109/TSP.2006.870584
[NCID] AA10788333
[DOI] http://dx.doi.org/10.1109/TSP.2006.870584