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Chaos communication performance : theory and computation
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Kaddoum, G., Lawrance, Anthony J., Chargé, P. and Roviras, D. (2011) Chaos communication performance : theory and computation. Circuits, Systems and Signal Processing, Volume 30 (Number 1). pp. 185-208. doi:10.1007/s00034-010-9217-1 ISSN 0278-081X.
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Official URL: http://dx.doi.org/10.1007/s00034-010-9217-1
Abstract
In this paper new and existing approaches are developed to compute the bit-error rate for chaos-based communication systems. The multi-user coherent antipodal chaos shift keying system is studied and evaluated in its coherent form, in the sense of perfect synchronisation between transmitted and received chaotic sequences. Transmission is through an additive white Gaussian noise channel. Four methods are interrelated in the paper, three approximate ones and an exact one. The least accurate but most well known is based on simple Gaussian approximation; this is generalised to better reveal its structure. Two accurate and computationally efficient approximate methods are based on conditional Gaussian approximation and the statistical distribution of the typically non-constant bit energy. The most insightful but computationally expensive one is based on exact theory and rests on explicit mathematical results for particular chaotic maps used to spread binary messages. Both upper and lower bounds to the bit-error rate are suggested. The relative advantages of the different approaches are illustrated with plots of bit-error rate against signal to noise ratio.
Item Type: | Journal Article | ||||
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Subjects: | Q Science > QA Mathematics T Technology > TK Electrical engineering. Electronics Nuclear engineering |
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Divisions: | Faculty of Science, Engineering and Medicine > Science > Statistics | ||||
Library of Congress Subject Headings (LCSH): | Chaotic behavior in systems, Network performance (Telecommunication), Gaussian distribution, Bit error rate | ||||
Series Name: | Working papers | ||||
Journal or Publication Title: | Circuits, Systems and Signal Processing | ||||
Publisher: | Birkhaeuser Boston | ||||
Place of Publication: | Coventry | ||||
ISSN: | 0278-081X | ||||
Official Date: | February 2011 | ||||
Dates: |
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Volume: | Volume 30 | ||||
Number: | Number 1 | ||||
Number of Pages: | 24 | ||||
Page Range: | pp. 185-208 | ||||
DOI: | 10.1007/s00034-010-9217-1 | ||||
Status: | Peer Reviewed | ||||
Publication Status: | Published | ||||
Access rights to Published version: | Restricted or Subscription Access | ||||
Funder: | EPSRC Centre for Research in Statistical Methodology (CRiSM), University of Warwick. Department of Statistics | ||||
Version or Related Resource: | Kaddoum, G., et al. (2010). Chaos communication performance: theory and computation. [Coventry] : University of Warwick. Centre for Research in Statistical Methodology. (Working papers, no.10-21). http://wrap.warwick.ac.uk/id/eprint/35116 | ||||
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Chaos communication performance : theory and computation. (deposited 14 Jun 2011 08:53)
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