Roundoff Noise Minimization for 2-D State-Space Digital Filters Using Joint Optimization of Error Feedback and Realization

IEEE Transactions on Signal Processing Volume 54 Issue 11 Page 4302-4310 published_at 2006-11
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Title ( eng )
Roundoff Noise Minimization for 2-D State-Space Digital Filters Using Joint Optimization of Error Feedback and Realization
Creator
Hinamoto Takao
Ohnishi Hiroaki
Lu Wu-Sheng
Source Title
IEEE Transactions on Signal Processing
Volume 54
Issue 11
Start Page 4302
End Page 4310
Abstract
The joint optimization problem of error feedback and realization for two-dimensional (2-D) state-space digital filters to minimize the effects of roundoff noise at the filter output subject to L2-norm dynamic-range scaling constraints is investigated. It is shown that the problem can be converted into an unconstrained optimization problem by using linear-algebraic techniques. The unconstrained optimization problem at hand is then solved iteratively by applying an efficient quasi-Newton algorithm with closed-form formulas for key gradient evaluation. Analytical details are given as to how the proposed technique can be applied to the cases where the error-feedback matrix is a general, block-diagonal, diagonal, or block-scalar matrix. A case study is presented to illustrate the utility of the proposed technique.
Keywords
Error feedback
joint optimization
L2-scaling constraints
roundoff noise minimization
state-space realization
2-D digital filters
NDC
Electrical engineering [ 540 ]
Language
eng
Resource Type journal article
Publisher
IEEE
Date of Issued 2006-11
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.2006.881178
[NCID] AA10788333
[DOI] http://dx.doi.org/10.1109/TSP.2006.881178