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Informatics in Control, Automation and Robotics pp 117–128Cite as

Analysis of a Class of Infinite Dimensional Frames

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Part of the book series: Lecture Notes in Electrical Engineering ((LNEE,volume 174))

Abstract

Frames are a mathematical tool which can represent redundancies in many application problems. In this article, a class of infinite dimensional and bi-directional frames are studied. It is shown that the infinite dimensional and bi-directional frames can be represented by milti-input, multi-output state space equations. Such a state space representation can enable the application of powerful linear system methods and numerical tools to the performance analysis and evaluation of frames.

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Author information

Authors and Affiliations

  1. Faculty of Engineering and Industrial Sciences, Swinburne University of Technology, Melbourne, VIC, 3122, Australia

    Cishen Zhang

  2. Department of Electrical and Computer Systems Engineering, Monash University, Clayton, VIC, 3800, Australia

    Jingxin Zhang

  3. School of Electrical Electronic Engineering, Nanyang Technological University, Nanyang, 639798, Singapore

    Xiaofang Chen

Authors
  1. Cishen Zhang
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  2. Jingxin Zhang
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  3. Xiaofang Chen
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Editor information

Editors and Affiliations

  1. l’Ingénieur d’Angers (ISTIA), Labo. d’Ingénierie des Systémes, Institut des Sciences et Techniques de, avenue Notre Dame du Lac 62, Angers, 49000, France

    Jean-Louis Ferrier

  2. CNRS, UMR 6597, IRCCN, Ecole Centrale de Nantes, rue de la Noe 1, Nantes CX 03, 44321, France

    Alain Bernard

  3. Ford Research & Adv. Engineering, RIC Builidng, 2101 Village rd.,, Dearborn, 48124, Michigan, USA

    Oleg Gusikhin

  4. , Images, Signals and Intelligence, University Paris-Est Creteil (UPEC), LISSI EA 3956, Paris, 77127, France

    Kurosh Madani

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© 2013 Springer-Verlag Berlin Heidelberg

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Zhang, C., Zhang, J., Chen, X. (2013). Analysis of a Class of Infinite Dimensional Frames. In: Ferrier, JL., Bernard, A., Gusikhin, O., Madani, K. (eds) Informatics in Control, Automation and Robotics. Lecture Notes in Electrical Engineering, vol 174. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-31353-0_9

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  • DOI: https://doi.org/10.1007/978-3-642-31353-0_9

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-31352-3

  • Online ISBN: 978-3-642-31353-0

  • eBook Packages: EngineeringEngineering (R0)

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