Accurate Derivation of Chaos-Based Acquisition Performance in a Fading Channel

Accurate expressions for sequence acquisition in a chaos-based spread-spectrum system are derived using the statistical properties of the chaos-based spreading sequences. The expressions are validated by comparing the analytical predictions of the acquisition performance with the simulation results for three channel scenarios. Additive white Gaussian noise and Rayleigh fading channels are considered in the first two scenarios. As the third scenario a blind chip interleaving serial search algorithm is proposed and system performance is shown to improve. The simulation results show excellent agreement with the theoretical results for all three scenarios considered. This is significant as previous examinations of the same have only yielded upper-bounds.

[1]  Tohru Kohda,et al.  Statistical approach to the code acquisition problem in direct-sequence spread-spectrum communication systems , 2006, IMA J. Math. Control. Inf..

[2]  Stevan M. Berber,et al.  Analysis of a Chaos-Based Non-Coherent Delay Lock Tracking Loop , 2010, 2010 IEEE International Conference on Communications.

[3]  Michael Peter Kennedy,et al.  Chaos shift keying : modulation and demodulation of a chaotic carrier using self-sychronizing chua"s circuits , 1993 .

[4]  Tohru Kohda,et al.  Spread-spectrum Markovian-code acquisition in asynchronous DS/CDMA systems , 2003, Proceedings of the 2003 International Symposium on Circuits and Systems, 2003. ISCAS '03..

[5]  C. P. Unsworth,et al.  Fast synchronisation of chaotic maps for secure chaotic communications , 2010 .

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

[7]  Gianluca Mazzini,et al.  Gaussian characterization of self-interference during synchronization of chaos based DS-CDMA systems , 1998, 1998 IEEE International Conference on Electronics, Circuits and Systems. Surfing the Waves of Science and Technology (Cat. No.98EX196).

[8]  Leon O. Chua,et al.  Experimental Demonstration of Secure Communications via Chaotic Synchronization , 1992, Chua's Circuit.

[9]  Shlomo Shamai,et al.  Fading Channels: Information-Theoretic and Communication Aspects , 1998, IEEE Trans. Inf. Theory.

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

[11]  Tohru Kohda,et al.  Multiuser code acquisition in DS/CDMA systems , 2003, 2003 IEEE Topical Conference on Wireless Communication Technology.

[12]  T. Geisel,et al.  Statistical properties of chaos in Chebyshev maps , 1984 .

[13]  Giuseppe Caire,et al.  Coding for the fading channel: a survey , 2000, Signal Process..

[14]  K. Sam Shanmugan,et al.  Simulation of Communication Systems , 1992 .

[15]  Riccardo Rovatti,et al.  Chaotic Electronics in Telecommunications , 2000 .

[16]  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.

[17]  Tohru Kohda,et al.  Markovian SS codes imply inversion-free code acquisition in asynchronous DS/CDMA systems , 2004, 2004 IEEE International Symposium on Circuits and Systems (IEEE Cat. No.04CH37512).

[18]  Leon O. Chua,et al.  Transmission of Digital signals by Chaotic Synchronization , 1992, Chua's Circuit.

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

[20]  C. K. Michael Tse,et al.  A multiple access scheme for chaos-based digital communication systems utilizing transmitted reference , 2004, IEEE Transactions on Circuits and Systems I: Regular Papers.

[21]  Clare D. McGillem,et al.  A chaotic direct-sequence spread-spectrum communication system , 1994, IEEE Trans. Commun..

[22]  Stevan M. Berber,et al.  SEQUENCE SYNCHRONIZATION IN A WIDEBAND CDMA SYSTEM , 2007 .

[23]  Sadasivan Puthusserypady,et al.  Performance enhancement of DS/CDMA system using chaotic complex spreading sequence , 2005, IEEE Transactions on Wireless Communications.

[24]  Tohru Kohda,et al.  Bit error rate in an asynchronous DS/CDMA system using Markovian SS codes , 2002, IEEE Seventh International Symposium on Spread Spectrum Techniques and Applications,.

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

[26]  M. Hasler,et al.  Optimal and suboptimal chaos receivers , 2002, Proc. IEEE.

[27]  U. Parlitz,et al.  Robust communication based on chaotic spreading sequences , 1994 .

[28]  Riccardo Rovatti,et al.  Sequence synchronization in chaos-based DS-CDMA systems , 1998, ISCAS '98. Proceedings of the 1998 IEEE International Symposium on Circuits and Systems (Cat. No.98CH36187).

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

[30]  Anthony J. Lawrance,et al.  Performance Analysis and Optimization of Multi-User Differential Chaos-Shift Keying Communication Systems , 2006, IEEE Transactions on Circuits and Systems I: Regular Papers.

[31]  R. Rovatti,et al.  Chaotic complex spreading sequences for asynchronous DS-CDMA. Part II. Some theoretical performance bounds , 1998 .

[32]  Marvin Simon,et al.  Probability Distributions Involving Gaussian Random Variables , 2002 .

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

[34]  Gianluca Mazzini,et al.  Performance of chaos-based asynchronous DS-CDMA with different pulse shapes , 2004, IEEE Communications Letters.

[35]  Michael Peter Kennedy,et al.  The role of synchronization in digital communications using chaos. I . Fundamentals of digital communications , 1997 .

[36]  Michael Peter Kennedy,et al.  Communications using chaos/spl Gt/MINUS. III. Performance bounds for correlation receivers , 2000 .

[37]  Sergio VerdÂ,et al.  Fading Channels: InformationTheoretic and Communications Aspects , 2000 .

[38]  Michael Peter Kennedy,et al.  The role of synchronization in digital communications using chaos. II. Chaotic modulation and chaotic synchronization , 1998 .

[39]  Tohru Kohda,et al.  Code acquisition of Markovian SS codes in a chip-synchronous DS-CDMA system , 2003, IEEE International Symposium on Information Theory, 2003. Proceedings..

[40]  Stevan M. Berber,et al.  Effect of Rayleigh fading on non-coherent sequence synchronization for multi-user chaos based DS-CDMA , 2010, Signal Process..

[41]  M. Hasler,et al.  Optimal detection of differential chaos shift keying , 2000 .