Chaotic complex spreading sequences for asynchronous ds-cdma-part ii: some theoretical performance bounds

IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications

Volumn 45, Issue 4, 1998, Pages 496-506

  Rovatti, Riccardo ^a   Setti, Gianluca ^a   Mazzini, Gianluca ^a  

^a UNIVERSITY OF BOLOGNA   (Italy)

Author keywords

Chaos based communication systems; Code division multiple access; Statistical dynamical system theory

Indexed keywords

CHAOS THEORY; CORRELATION METHODS; CORRELATION THEORY; DIGITAL COMMUNICATION SYSTEMS; MULTIPLEX RADIO TRANSMISSION; NETWORK PROTOCOLS; SPREAD SPECTRUM COMMUNICATION; TIME SERIES ANALYSIS;

DIRECT SEQUENCE CODE DIVISION MULTIPLE ACCESS (DS CDMA) SYSTEMS;

CELLULAR RADIO SYSTEMS;

EID: 0032047221     PISSN: 10577122     EISSN: None     Source Type: Journal    
DOI: 10.1109/81.669073     Document Type: Article

References (22)

1. M. P. Kennedy, "Communicating with chaos: State of the art and engineering challenges," in Proc. 4th Int. Workshop Nonlinear Dynamics Electron. Syst. (NDES96). Sevilla, Spain, June 1996, pp. 1-8.
2. M. K. Simon, J. K. Omura, R. A. Scholtz, and B. K. Levitt, Spread Spectrum Communications Handbook. New York: McGraw-Hill, 1994.
3. A. J. Viterbi, CDMA. Reading, MA: Addison-Wesley, 1995.
4. G. Heidari-Bateni and C. D. McGillem, "A chaotic direct-sequence spread spectrum communication system," IEEE Trans. Commun., vol. 42, pp. 1524-1527, 1994.
5. H. Saigui, Z. Yong, H. Jandong, and B. Liu, "A synchronous CDMA system using discrete coupled-chaotic sequence," in Proc. IEEE Southeastcon'96, Bringing Together Education, Science, Technology, 1994, vol. 42, pp. 1524-1527.
6. R. Gold, "Optimal binary sequences for spread spectrum multiplexing," IEEE Trans. Inform. Theory, vol. 13, pp. 619-621, 1967.
7. T. Kodha and H. Tsuneda, "Even- and odd-correlation functions of chaotic Chebyshev bit sequences for CDMA," in Proc. IEEE Int. Symp. Spread Spectrum Tech. Appl. (ISSSTA'94), 1994, pp. 391-395.
8. G. Mazzini, G. Setti, and R. Rovatti, "Chaotic complex spreading sequences for asynchronous CDMA-Part I: System, modeling, and results," IEEE Trans. Circuits Syst. I, vol. 44, pp. 937-947, Oct. 1997.
9. M. B. Pursley, "Performance evaluation for phase-coded spreadspectrum multiple-access communication-Part I: System analysis," IEEE Trans. Commun., vol. 25, pp. 795-799, 1977.
10. G. Mazzini, "DS-CDMA systems using Q-level M-sequences: Coding map theory," IEEE Trans. Commun., vol. 45, pp. 1304-1313, Oct. 1997.
11. A. Lasota and M. C. Mackey, Chaos, Fractals, and Noise. New York: Springer-Verlag, 1994.
12. P. R. Halmös, Measure Theory. New York: Springer-Verlag, 1974.
13. G. Keller, "On the rate of convergence to equilibrium in one-dimensional systems," Commun. Math. Phys., vol. 96, pp. 181-193, 1984.
14. F. Hofbauer and G. Keller, "Ergodic properties of invariant measures for piecewise monotonie transformations," Math. Zeitschrift, vol. 180, pp. 119-140, 1982.
15. V. Baladi and G. Keller, "Zêta functions and transfer operators for piecewise monotone transformations," Commun. Math. Phys., vol. 127, pp. 459-477, 1990.
16. V. Baladi and L.-S. Young, "On the spectra of randomly perturbed expanding maps," Commun. Math. Phys., vol. 156, pp. 355-385, 1993.
17. V. Baladi, S. Isola, and B. Schmitt, "Transfer operator for piecewise affine approximation of interval maps," Ann. l'Inst. Henri Poincaré-Physique Théorique, vol. 62, pp. 251-265, 1995.
18. P. Billingsley, Ergodic Theory and Information. New York: Wiley, 1964.
19. S. Wiggings, Introduction to Applied Nonlinear Dynamical Systems and Chaos. New York: Springer-Verlag, 1996.
20. H. Mine, Nonnegative Matrices. New York: Wiley, 1987.
21. N. Friedman and A. Boyarsky, "Irreducibility and primitivity using Markov maps," Linear Algebra Appl., vol. 37, pp. 103-117, 1981.
22. V. Baladi, "Infinite kneading matrices and weighted zeta functions of interval maps," J. Function. Anal, vol. 128, pp. 226-244, 1995.