IEICE TRANSACTIONS on Fundamentals
Roundoff Noise Minimization for a Class of 2-D State-Space Digital Filters Using Joint Optimization of High-Order Error Feedback and Realization
Summary :
For two-dimensional IIR digital filters described by the Fornasini-Marchesini second model, the problem of jointly optimizing high-order error feedback and realization to minimize the effects of roundoff noise at the filter output subject to l2-scaling constraints is investigated. The problem at hand is converted into an unconstrained optimization problem by using linear-algebraic techniques. The unconstrained optimization problem is then solved iteratively by applying an efficient quasi-Newton algorithm with closed-form formulas for key gradient evaluation. Finally, a numerical example is presented to illustrate the validity and effectiveness of the proposed technique.
- Publication
- IEICE TRANSACTIONS on Fundamentals Vol.E97-A No.9 pp.1918-1925
- Publication Date
- 2014/09/01
- Publicized
- Online ISSN
- 1745-1337
- DOI
- 10.1587/transfun.E97.A.1918
- Type of Manuscript
- PAPER
- Category
- Digital Signal Processing
Authors
Akimitsu DOI
Hiroshima Institute of Technology
Takao HINAMOTO
Hiroshima Institute of Technology
Wu-Sheng LU
University of Victoria
Keyword
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Akimitsu DOI, Takao HINAMOTO, Wu-Sheng LU, "Roundoff Noise Minimization for a Class of 2-D State-Space Digital Filters Using Joint Optimization of High-Order Error Feedback and Realization" in IEICE TRANSACTIONS on Fundamentals,
vol. E97-A, no. 9, pp. 1918-1925, September 2014, doi: 10.1587/transfun.E97.A.1918.
Abstract: For two-dimensional IIR digital filters described by the Fornasini-Marchesini second model, the problem of jointly optimizing high-order error feedback and realization to minimize the effects of roundoff noise at the filter output subject to l2-scaling constraints is investigated. The problem at hand is converted into an unconstrained optimization problem by using linear-algebraic techniques. The unconstrained optimization problem is then solved iteratively by applying an efficient quasi-Newton algorithm with closed-form formulas for key gradient evaluation. Finally, a numerical example is presented to illustrate the validity and effectiveness of the proposed technique.
URL: https://global.ieice.org/en_transactions/fundamentals/10.1587/transfun.E97.A.1918/_p
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@ARTICLE{e97-a_9_1918,
author={Akimitsu DOI, Takao HINAMOTO, Wu-Sheng LU, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={Roundoff Noise Minimization for a Class of 2-D State-Space Digital Filters Using Joint Optimization of High-Order Error Feedback and Realization},
year={2014},
volume={E97-A},
number={9},
pages={1918-1925},
abstract={For two-dimensional IIR digital filters described by the Fornasini-Marchesini second model, the problem of jointly optimizing high-order error feedback and realization to minimize the effects of roundoff noise at the filter output subject to l2-scaling constraints is investigated. The problem at hand is converted into an unconstrained optimization problem by using linear-algebraic techniques. The unconstrained optimization problem is then solved iteratively by applying an efficient quasi-Newton algorithm with closed-form formulas for key gradient evaluation. Finally, a numerical example is presented to illustrate the validity and effectiveness of the proposed technique.},
keywords={},
doi={10.1587/transfun.E97.A.1918},
ISSN={1745-1337},
month={September},}
Copy
TY - JOUR
TI - Roundoff Noise Minimization for a Class of 2-D State-Space Digital Filters Using Joint Optimization of High-Order Error Feedback and Realization
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 1918
EP - 1925
AU - Akimitsu DOI
AU - Takao HINAMOTO
AU - Wu-Sheng LU
PY - 2014
DO - 10.1587/transfun.E97.A.1918
JO - IEICE TRANSACTIONS on Fundamentals
SN - 1745-1337
VL - E97-A
IS - 9
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - September 2014
AB - For two-dimensional IIR digital filters described by the Fornasini-Marchesini second model, the problem of jointly optimizing high-order error feedback and realization to minimize the effects of roundoff noise at the filter output subject to l2-scaling constraints is investigated. The problem at hand is converted into an unconstrained optimization problem by using linear-algebraic techniques. The unconstrained optimization problem is then solved iteratively by applying an efficient quasi-Newton algorithm with closed-form formulas for key gradient evaluation. Finally, a numerical example is presented to illustrate the validity and effectiveness of the proposed technique.
ER -
English
