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Authors: Antonio Avantaggiati ; Paola Loreti and Pierluigi Vellucci

Affiliation: Sapienza Università di Roma, Italy

ISBN: 978-989-758-122-9

Keyword(s): Kadec's 1/4-theorem, Riesz Basis, Exponential Bases, Sinc Bases, Sampling Theorem.

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

Abstract: It is well known that exponential Riesz bases are stable. The celebrated theorem by Kadec shows that 1/4 is a stability bound for the exponential basis on L2(-p,p). In this paper we prove that a/p (where a is the Lamb- Oseen constant) is a stability bound for the sinc basis on L2(-p,p). The difference between the two values a/p - 1/4, is ˜ 0.15, therefore the stability bound for the sinc basis on L2(-p,p) is greater than Kadec’s stability bound (i.e. 1/4).

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Paper citation in several formats:
Avantaggiati, A.; Loreti, P. and Vellucci, P. (2015). An Explicit Bound for Stability of Sinc Bases.In Proceedings of the 12th International Conference on Informatics in Control, Automation and Robotics - Volume 1: ICINCO, ISBN 978-989-758-122-9, pages 473-480. DOI: 10.5220/0005512704730480

@conference{icinco15,
author={Antonio Avantaggiati. and Paola Loreti. and Pierluigi Vellucci.},
title={An Explicit Bound for Stability of Sinc Bases},
booktitle={Proceedings of the 12th International Conference on Informatics in Control, Automation and Robotics - Volume 1: ICINCO,},
year={2015},
pages={473-480},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0005512704730480},
isbn={978-989-758-122-9},
}

TY - CONF

JO - Proceedings of the 12th International Conference on Informatics in Control, Automation and Robotics - Volume 1: ICINCO,
TI - An Explicit Bound for Stability of Sinc Bases
SN - 978-989-758-122-9
AU - Avantaggiati, A.
AU - Loreti, P.
AU - Vellucci, P.
PY - 2015
SP - 473
EP - 480
DO - 10.5220/0005512704730480

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