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

Takao Hinamoto; Yukihiro Shibata; Masayoshi Nakamoto

doi:10.5220/0001638301900195

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

Takao Hinamoto, Yukihiro Shibata, Masayoshi Nakamoto

2007

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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in Harvard Style

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 3: ICINCO, ISBN 978-972-8865-84-9, pages 190-195. DOI: 10.5220/0001638301900195

in Bibtex Style

@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 3: ICINCO,},
year={2007},
pages={190-195},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0001638301900195},
isbn={978-972-8865-84-9},
}

in EndNote Style

TY - CONF
JO - Proceedings of the Fourth International Conference on Informatics in Control, Automation and Robotics - Volume 3: 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
AU - Hinamoto T.
AU - Shibata Y.
AU - Nakamoto M.
PY - 2007
SP - 190
EP - 195
DO - 10.5220/0001638301900195