Theoretical performance for asynchronous multi-user chaos-based communication systems on fading channels

In this paper, we present a study of the bit error rate (BER) performance of chaos-based DS-CDMA system over an m-distributed fading channel. In this system, the perfect synchronization between receiver and transmitter is assumed. The transmitted bit energy after spreading by chaotic signal is not considered as constant in order to evaluate with precision the BER for such system. The performance of chaos-based DS-CDMA system is examined first in mono-user case. An approximation of the received bit energy by a known distribution leads to an accurate analytical BER expression. This BER computation approach is generalized for asynchronous multi-user case. The performance of DS-CDMA system using Gold sequence is compared and discussed to chaos-based DS-CDMA system. A perfect match between simulations and analytical BER expressions confirms the exactitude of our approach.

[1]  Chi K. Tse,et al.  Chaos-Based Digital Communication Systems: Operating Principles, Analysis Methods, and Performance Evaluation , 2003 .

[2]  S. Azou,et al.  Sea trial results of a chaotic direct-sequence spread spectrum underwater communication system , 2003, Oceans 2003. Celebrating the Past ... Teaming Toward the Future (IEEE Cat. No.03CH37492).

[3]  William C. Lindsey.  Error probabilities for Rician fading multichannel reception of binary and n -ary signals , 1964, IEEE Trans. Inf. Theory.

[4]  Ezio Biglieri,et al.  Design of spread-spectrum sequences using chaotic dynamical systems and ergodic theory , 2001 .

[5]  A. .. Lawrance,et al.  Exact calculation of bit error rates in communication systems with chaotic modulation , 2003 .

[6]  Gianluca Mazzini,et al.  Chaos-based asynchronous DS-CDMA systems and enhanced Rake receivers: measuring the improvements , 2001 .

[7]  Ken Umeno,et al.  Improvement of SNR with chaotic spreading sequences for CDMA , 1999, Proceedings of the 1999 IEEE Information Theory and Communications Workshop (Cat. No. 99EX253).

[8]  Gianluca Mazzini,et al.  Toward sequences optimization for chaos-based asynchronous DS-CDMA systems , 1998, IEEE GLOBECOM 1998 (Cat. NO. 98CH36250).

[9]  C. K. Michael Tse,et al.  Optimum Correlator-Type Receiver Design for CSK Communication Systems , 2002, Int. J. Bifurc. Chaos.

[10]  Pascal Chargé,et al.  Robust synchronization for asynchronous multi-user chaos-based DS-CDMA , 2009, Signal Process..

[11]  Sergio Verdu,et al.  Multiuser Detection , 1998 .

[12]  Norman C. Beaulieu,et al.  Accurate DS-CDMA bit-error probability calculation in Rayleigh fading , 2002, IEEE Trans. Wirel. Commun..

[13]  Pascal Chargé,et al.  A Methodology for Bit Error Rate Prediction in Chaos-based Communication Systems , 2009, Circuits Syst. Signal Process..

[14]  F.C.M. Lau,et al.  An approach to calculating the bit-error rate of a coherent chaos-shift-keying digital communication system under a noisy multiuser environment , 2002 .

[15]  G. Kolumban,et al.  Differential chaos shift keying : A robust coding for chaotic communication , 1996 .

[16]  Daniele Fournier-Prunaret,et al.  Features analysis of a parametric PWL chaotic map and its utilization for secure transmissions , 2008 .

[17]  Gianluca Mazzini,et al.  Synchronization mechanism and optimization of spreading sequences in chaos-based DS/CDMA systems , 1999 .

[18]  J. Yorke,et al.  Chaos: An Introduction to Dynamical Systems , 1997 .

[19]  C. K. Michael Tse,et al.  Exact analytical bit error rates for multiple access chaos-based communication systems , 2004, IEEE Transactions on Circuits and Systems II: Express Briefs.

[20]  Daniel Roviras,et al.  Multi-user receivers for synchronous and asynchronous transmissions for chaos-based multiple-access systems , 2009, Signal Process..

[21]  Carroll,et al.  Synchronization in chaotic systems. , 1990, Physical review letters.

[22]  Pascal Chargé,et al.  Performance of multi-user chaos-based DS-CDMA system over multipath channel , 2009, 2009 IEEE International Symposium on Circuits and Systems.

[23]  Pascal Chargé,et al.  Comparison of chaotic sequences in a chaos-based DS-CDMA system , 2007 .

[24]  John G. Proakis,et al.  Digital Communications , 1983 .

[25]  C. P. Unsworth,et al.  Performance comparison of multi-user chaos-based DS-CDMA synchronisation unit within AWGN and Rayleigh fading channel , 2007 .

[26]  W. M. Tam,et al.  Chaos-based digital communication systems , 2003 .

[27]  Raffaele Esposito.  Error probabilities for the Nakagami channel (Corresp.) , 1967, IEEE Trans. Inf. Theory.

[28]  Daniel Roviras,et al.  Multi-user receivers for a multiple-access system based on chaotic sequences on unknown asynchronous frequency-selective channels , 2010, Signal Process..

[29]  Roger L. Peterson,et al.  Introduction to Spread Spectrum Communications , 1995 .

[30]  Riccardo Rovatti,et al.  Chaotic complex spreading sequences for asynchronous DS-CDMA. I. System modeling and results , 1997 .

[31]  Stevan M. Berber,et al.  A robust sequence synchronization unit for multi-user DS-CDMA chaos-based communication systems , 2007, Signal Process..

[32]  D. Roviras,et al.  Analytical calculation of BER in communication systems using a piecewise linear chaotic map , 2007, 2007 18th European Conference on Circuit Theory and Design.

[33]  Gianluca Mazzini,et al.  Interference minimisation by auto-correlation shaping in asynchronous DS-CDMA systems: chaos-based spreading is nearly optimal , 1999 .

[34]  Ali Abdi,et al.  On the estimation of the K parameter for the Rice fading distribution , 2001, IEEE Communications Letters.