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Authors: Takao Hinamoto ; Yukihiro Shibata and Masayoshi Nakamoto

Affiliation: Graduate School of Engineering, Hiroshima University, Japan

Keyword(s): Two-dimensional (2-D) state-space digital filters, separable denominator, l2 -sensitivity, l2 -scaling constraints, scaling-constrained sensitivity minimization, optimal realization.

Related Ontology Subjects/Areas/Topics: Informatics in Control, Automation and Robotics ; Optimization Problems in Signal Processing ; Signal Processing, Sensors, Systems Modeling and Control

Abstract: The problem of minimizing l2 -sensitivity subject to l2 -scaling constraints for two-dimensional (2-D) separable-denominator state-space digital filters is investigated. The coefficient sensitivity of the filter is analized by using a pure l2 -norm. An iterative algorithm for minimizing an l2 -sensitivity measure subject to l2 -scaling constraints is then explored by introducing a Lagrange function and utilizing an efficient bisection method. A numerical example is also presented to illustrate the utility of the proposed technique.

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Paper citation in several formats:
Hinamoto, T.; Shibata, Y. and Nakamoto, M. (2007). MINIMIZATION OF l2-SENSITIVITY FOR 2-D SEPARABLE-DENOMINATOR STATE-SPACE DIGITAL FILTERS SUBJECT TO l2-SCALING CONSTRAINTS USING A LAGRANGE FUNCTION AND A BISECTION METHOD. In Proceedings of the Fourth International Conference on Informatics in Control, Automation and Robotics - Volume 2: ICINCO; ISBN 978-972-8865-84-9; ISSN 2184-2809, SciTePress, pages 190-195. DOI: 10.5220/0001638301900195

@conference{icinco07,
author={Takao Hinamoto. and Yukihiro Shibata. and Masayoshi Nakamoto.},
title={MINIMIZATION OF l2-SENSITIVITY FOR 2-D SEPARABLE-DENOMINATOR STATE-SPACE DIGITAL FILTERS SUBJECT TO l2-SCALING CONSTRAINTS USING A LAGRANGE FUNCTION AND A BISECTION METHOD},
booktitle={Proceedings of the Fourth International Conference on Informatics in Control, Automation and Robotics - Volume 2: ICINCO},
year={2007},
pages={190-195},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0001638301900195},
isbn={978-972-8865-84-9},
issn={2184-2809},
}

TY - CONF

JO - Proceedings of the Fourth International Conference on Informatics in Control, Automation and Robotics - Volume 2: ICINCO
TI - MINIMIZATION OF l2-SENSITIVITY FOR 2-D SEPARABLE-DENOMINATOR STATE-SPACE DIGITAL FILTERS SUBJECT TO l2-SCALING CONSTRAINTS USING A LAGRANGE FUNCTION AND A BISECTION METHOD
SN - 978-972-8865-84-9
IS - 2184-2809
AU - Hinamoto, T.
AU - Shibata, Y.
AU - Nakamoto, M.
PY - 2007
SP - 190
EP - 195
DO - 10.5220/0001638301900195
PB - SciTePress