Iterated Function System Models of Digital Channels

Broomhead, D. S. and Huke, J. P. and Muldoon, M. R. and Stark, J. (2004) Iterated Function System Models of Digital Channels. Proceedings of the Royal Society of London, Series A, 460. pp. 3123-3142. ISSN 1364-5021

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Abstract

This paper introduces a new class of models of digital communications channels. Physically, these models take account of the digital nature of the input. Mathematically, they are iterated function systems. As a consequence of making explicit assumptions about the role of discreteness in the models, it is possible to make general statements about the behaviour of these channels without needing to assume that they are linear. We provide the mathematical background necessary to understand the behaviour of these models and prove a number of results about their observability. We also provide a number of examples intended to demonstrate their connection with linear state-space models, and to suggest how the nonlinear theory might be developed towards applications.

Item Type:	Article
Uncontrolled Keywords:	Iterated Function Systems, Digital-Channel Models, Delay Embedding
Subjects:	MSC 2010, the AMS's Mathematics Subject Classification > 37 Dynamical systems and ergodic theory MSC 2010, the AMS's Mathematics Subject Classification > 94 Information and communication, circuits
Depositing User:	Dr Mark Muldoon
Date Deposited:	14 Nov 2005
Last Modified:	20 Oct 2017 14:12
URI:	https://eprints.maths.manchester.ac.uk/id/eprint/24

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