On the ultimate limits of chaos-based asynchronous DS-CDMA - I: Basic definitions and results

IEEE Transactions on Circuits and Systems I: Regular Papers

Volumn 51, Issue 7, 2004, Pages 1336-1347

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

^a UNIVERSITY OF BOLOGNA   (Italy)

^b UNIVERSITY OF FERRARA   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

CHANNEL CAPACITY; CHAOS THEORY; CODE DIVISION MULTIPLE ACCESS; COMMUNICATION CHANNELS (INFORMATION THEORY); MATHEMATICAL MODELS; PROBABILITY; SIGNAL ENCODING; SIGNAL INTERFERENCE; SIGNAL RECEIVERS; TRANSFER FUNCTIONS; TRANSMITTERS;

ASYNCHRONISM; DIRECT SEQUENCE CODE DIVISION MULTIPLE ACCESS; MULTIPLE ACCESS INTERFERENCE;

SPREAD SPECTRUM COMMUNICATION;

EID: 3843150499     PISSN: 10577122     EISSN: None     Source Type: Journal    
DOI: 10.1109/TCSI.2004.830700     Document Type: Article

References (30)

1. A. Lasota and M. C. Mackey, Chaos, Fractals, and Noise. New York: Springer-Verlag, 1994.
2. 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.
3. R. Rovatti, G. Setti, and G. Mazzini, "Chaotic complex spreading sequences for asynchronous CDMA - Part II: Some theoretical performance bounds," IEEE Trans. Circuits Syst. I, vol. 45, pp. 496-506, Apr. 1998.
4. G. Setti, G. Mazzini, and R. Rovatti, "Chaos-based spreading sequence optimization for DS-CDMA synchronization," IEICE Trans. Fund., vol. E82-A, no. 9, pp. 1737-1746, 1999.
5. R. Rovatti, G. Mazzini, and G. Setti, "Interference bounds for DS-CDMA systems based on chaotic piecewise-affine Markov maps," IEEE Trans. Circuits Syst. I, vol. 47, pp. 885-896, June 2000.
6. G. Mazzini, R. Rovatti, and G. Setti, "Chaos-based asynchronous DS-CDMA systems," in Chaotic Electronics for Telecommunications, M. P. Kennedy, R. Rovatti, and G. Setti, Eds. Boca Raton, FL: CRC, 2000, ch. 3.
7. R. Rovatti, G. Mazzini, and G. Setti, "Enhanced rake receivers for chaos-based DS-CDMA," IEEE Trans. Circuits Syst. I, vol. 48, pp. 818-829, July 2001.
8. R. Rovatti and G. Mazzini, "Interference in DS-CDMA systems with exponentially vanishing autocorrelations: Chaos-based spreading is optimal," Electron. Lett., vol. 34, pp. 1911-1913, 1998.
9. G. Mazzini, R. Rovatti, and G. Setti, "Interference minimization by autocorrelation shaping in asynchronous DS-CDMA systems: Chaos-based spreading is nearly optimal," Electron. Lett., vol. 35, pp. 1054-1055, 1999.
10. T. Kohda and H. Fujisaki, "Variances of multiple access interference code average against data average," Electron. Lett., vol. 36, pp. 1717-1719, 2000.
11. G. Setti, G. Mazzini, R. Rovatti, and S. Callegari, "Statistical modeling of discrete-time chaotic processes: Basic finite dimensional tools and applications," Proc. IEEE, pp. 662-690, May 2002.
12. R. Rovatti, G. Mazzini, and G. Setti, "Shannon capacities of chaos-based and conventional asynchronous systems over AWGN channels," Electron. Lett., vol. 38, no. 10, pp. 478-480, 2002.
13. G. Mazzini, R. Rovatti, and G. Setti, "Comparison between shannon capacities of chaos-based and conventional asynchronous DS-CDMA systems," in Proc. Int. Symp. Information Theory and Its Applications (ISITA'02), 2002, pp. 53-56.
14. R. Rovatti, G. Mazzini, and G. Setti, "On the capacity of chaos-based asynchronous DS-CDMA systems with exponentially vanishing auto-correlations," Electron. Lett., vol. 38, pp. 1717-1718, 2002.
15. S. Verdù, "The capacity region of the symbol-asynchronous gaussian multiple access channel," IEEE Trans. Inform. Theory, vol. 35, pp. 733-751, July 1989.
16. M. Rupf and J. L. Massey, "Optimum sequence multisets for synchronous code-division multiple-access channels," IEEE Trans. Inform. Theory, vol. 40, pp. 1261-1266, July 1994.
17. S. Ulukus and R. D. Yates, "Iterative construction of optimum signature sequence sets in synchronous CDMA systems," IEEE Trans. Inform. Theory, vol. 47, pp. 1989-1998, July 2001.
18. A. J. Grant and P. D. Alexander, "Random sequence multiset for synchronous code-division multiple-access systems," IEEE Trans. Inform. Theory, vol. 44, pp. 2832-2836, Nov. 1998.
19. S. Verdù and S. Shamai, "Spectral efficiency of CDMA with random spreading," IEEE Trans. Inform. Theory, vol. 45, pp. 622-640, Mar. 1999.
20. A. J. Viterbi, CDMA. Reading, MA: Addison-Wesley, 1995.
21. M. B. Pursley, "Performance evaluation for phase-coded spread-spectrum multiple-access communication - Part I: System analysis," IEEE Trans. Commun., vol. COM-25, pp. 795-799, Aug. 1977.
22. R. Rovatti, G. Mazzini, and G. Setti, "A tensor approach to higher order expectations of quantized chaotic trajectories - I: General theory and specialization to piecewise affine markov systems," IEEE Trans. Circuits Syst. I, vol. 47, pp. 1571-1583, Nov. 2000.
23. J. G. Proakis, Digital Communications. New-York: McGraw-Hill, 1995.
24. T. Kohda, "Information sources using chaotic dynamics," Proc. IEEE, vol. 90, pp. 641-661, 2002.
25. S. Kullback, Information Theory and Statistics. New York: Wiley, 1959.
26. G. J. Foschini and M. J. Gans, "On limits of wireless communications in a fading environment when using multiple antennas," Wireless Personal Comm., vol. 6, pp. 311-335, 1998.
27. T. Cover and J. A. Thomas, Elements of Information Theory. New York: Wiley Interscience, 1991.
28. E. Telatar, "Capacity of multi-antenna Gaussian channels," Eur. Trans. Telecomm., vol. 10, pp. 585-595, 1999.
29. R. Bellman, Introduction to Matrix Analysis. New York: Mc-Graw Hill, 1960.
30. S. Wolfram, The Mathematica Book. Cambridge, U.K.: Cambridge Univ. Press, 1999.