IEICE TRANSACTIONS on Fundamentals
Optimal Synthesis of a Class of 2-D Digital Filters with Minimum L2-Sensitivity and No Overflow Oscillations
Summary :
The minimization problem of an L2-sensitivity measure subject to L2-norm dynamic-range scaling constraints is formulated for a class of two-dimensional (2-D) state-space digital filters. First, the problem is converted into an unconstrained optimization problem by using linear-algebraic techniques. Next, the unconstrained optimization problem is solved by applying an efficient quasi-Newton algorithm with closed-form formula for gradient evaluation. The coordinate transformation matrix obtained is then used to synthesize the optimal 2-D state-space filter structure that minimizes the L2-sensitivity measure subject to L2-norm dynamic-range scaling constraints. Finally, a numerical example is presented to illustrate the utility of the proposed technique.
- Publication
- IEICE TRANSACTIONS on Fundamentals Vol.E89-A No.7 pp.1987-1994
- Publication Date
- 2006/07/01
- Publicized
- Online ISSN
- 1745-1337
- DOI
- 10.1093/ietfec/e89-a.7.1987
- Type of Manuscript
- PAPER
- Category
- Digital Signal Processing
Authors
Keyword
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Takao HINAMOTO, Ken-ichi IWATA, Osemekhian I. OMOIFO, Shuichi OHNO, Wu-Sheng LU, "Optimal Synthesis of a Class of 2-D Digital Filters with Minimum L2-Sensitivity and No Overflow Oscillations" in IEICE TRANSACTIONS on Fundamentals,
vol. E89-A, no. 7, pp. 1987-1994, July 2006, doi: 10.1093/ietfec/e89-a.7.1987.
Abstract: The minimization problem of an L2-sensitivity measure subject to L2-norm dynamic-range scaling constraints is formulated for a class of two-dimensional (2-D) state-space digital filters. First, the problem is converted into an unconstrained optimization problem by using linear-algebraic techniques. Next, the unconstrained optimization problem is solved by applying an efficient quasi-Newton algorithm with closed-form formula for gradient evaluation. The coordinate transformation matrix obtained is then used to synthesize the optimal 2-D state-space filter structure that minimizes the L2-sensitivity measure subject to L2-norm dynamic-range scaling constraints. Finally, a numerical example is presented to illustrate the utility of the proposed technique.
URL: https://global.ieice.org/en_transactions/fundamentals/10.1093/ietfec/e89-a.7.1987/_p
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@ARTICLE{e89-a_7_1987,
author={Takao HINAMOTO, Ken-ichi IWATA, Osemekhian I. OMOIFO, Shuichi OHNO, Wu-Sheng LU, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={Optimal Synthesis of a Class of 2-D Digital Filters with Minimum L2-Sensitivity and No Overflow Oscillations},
year={2006},
volume={E89-A},
number={7},
pages={1987-1994},
abstract={The minimization problem of an L2-sensitivity measure subject to L2-norm dynamic-range scaling constraints is formulated for a class of two-dimensional (2-D) state-space digital filters. First, the problem is converted into an unconstrained optimization problem by using linear-algebraic techniques. Next, the unconstrained optimization problem is solved by applying an efficient quasi-Newton algorithm with closed-form formula for gradient evaluation. The coordinate transformation matrix obtained is then used to synthesize the optimal 2-D state-space filter structure that minimizes the L2-sensitivity measure subject to L2-norm dynamic-range scaling constraints. Finally, a numerical example is presented to illustrate the utility of the proposed technique.},
keywords={},
doi={10.1093/ietfec/e89-a.7.1987},
ISSN={1745-1337},
month={July},}
Copy
TY - JOUR
TI - Optimal Synthesis of a Class of 2-D Digital Filters with Minimum L2-Sensitivity and No Overflow Oscillations
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 1987
EP - 1994
AU - Takao HINAMOTO
AU - Ken-ichi IWATA
AU - Osemekhian I. OMOIFO
AU - Shuichi OHNO
AU - Wu-Sheng LU
PY - 2006
DO - 10.1093/ietfec/e89-a.7.1987
JO - IEICE TRANSACTIONS on Fundamentals
SN - 1745-1337
VL - E89-A
IS - 7
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - July 2006
AB - The minimization problem of an L2-sensitivity measure subject to L2-norm dynamic-range scaling constraints is formulated for a class of two-dimensional (2-D) state-space digital filters. First, the problem is converted into an unconstrained optimization problem by using linear-algebraic techniques. Next, the unconstrained optimization problem is solved by applying an efficient quasi-Newton algorithm with closed-form formula for gradient evaluation. The coordinate transformation matrix obtained is then used to synthesize the optimal 2-D state-space filter structure that minimizes the L2-sensitivity measure subject to L2-norm dynamic-range scaling constraints. Finally, a numerical example is presented to illustrate the utility of the proposed technique.
ER -
English
