Features analysis of a parametric PWL chaotic map and its utilization for secure transmissions

被引:17
作者
Charge, Pascal [1 ]
Fournier-Prunaret, Daniele [1 ]
Guglielmi, Veronique [2 ]
机构
[1] Univ Toulouse, Lab LATTIS, F-31077 Toulouse 4, France
[2] Univ Perpignan, Lab Phys Appl & Automat, F-66860 Perpignan 9, France
关键词
D O I
10.1016/j.chaos.2008.02.026
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this paper a complete analysis of a chaotic function is provided. The chaotic map is a parametric one-dimensional non invertible piecewise linear (PWL) map which is used to generate binary sequences. Implementation, key management and security associated to this chaotic generator are discussed. Then, we propose to use this chaotic map and its sequences in a communication system. The proposed communication system relies on the CSK principle and allows to transmit a binary information by switching between orthogonal binary sequences. The system is then analyzed by providing the bit-error rates derivation both theoretically and by computer simulations. (C) 2008 Elsevier Ltd. All rights reserved.
引用
收藏
页码:1411 / 1422
页数:12
相关论文
共 12 条
  • [1] Some basic cryptographic requirements for chaos-based cryptosystems
    Alvarez, Gonzalo
    Li, Shujun
    [J]. INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2006, 16 (08): : 2129 - 2151
  • [2] CHARGE P, 2006, INT S NONL THEOR ITS
  • [3] CANONICAL REALIZATION OF CHUA CIRCUIT FAMILY
    CHUA, LO
    LIN, GN
    [J]. IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS, 1990, 37 (07): : 885 - 902
  • [4] Theoretical noise performance of correlator-based chaotic communications schemes
    Kolumbán, G
    [J]. IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-FUNDAMENTAL THEORY AND APPLICATIONS, 2000, 47 (12): : 1692 - 1701
  • [5] Control of chaos in a piecewise smooth nonlinear system
    Kousaka, T
    Ueta, T
    Ma, Y
    Kawakami, H
    [J]. CHAOS SOLITONS & FRACTALS, 2006, 27 (04) : 1019 - 1025
  • [6] MACKEY A, 1994, APPL MATH SCI, V97
  • [7] MANDAL S, 2003, NAT C NONL DYN IND I
  • [8] *NIST, 2001, REV NIST SPEC PUBL
  • [9] Proakis J. G., 2001, DIGITAL COMMUNICATIO
  • [10] Performance analysis of correlation-based communication schemes utilizing chaos
    Sushchik, M
    Tsimring, LS
    Volkovskii, AR
    [J]. IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-FUNDAMENTAL THEORY AND APPLICATIONS, 2000, 47 (12): : 1684 - 1691