Analysis of a class of infinite dimensional frames

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Please use this identifier to cite or link to this item: http://hdl.handle.net/1959.3/233247

Title: Analysis of a class of infinite dimensional frames
Author(s): Zhang, Cishen; Zhang, Jingxin; Chen, Xiaofang
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.
Publication type: Conference paper
Research centre: Swinburne University of Technology. Faculty of Engineering and Industrial Sciences
Source: Lecture notes in electrical engineering: Revised selected papers from the 8th International Conference on Informatics in Control, Automation and Robotics (ICINCO 2011), Noordwijkerhout, Netherlands, 28-31 July 2011 / Jean-Louis Ferrier, Alain Bernard, Oleg Gusikhin and Kurosh Madani (eds.), Vol. 174, part 4, pp. 117-128
Publication year: 2013
Keyword(s): Frames; Linear systems; Mixed causal-anticausal realizations; State space equations
Publisher: Springer
ISSN: 1876-1100 (series ISSN)
ISBN: 9783642313523, 3642313523
Publisher URL: http://dx.doi.org/10.1007/978-3-642-31353-0_9
Peer reviewed