Statistical aspects of chaotic maps with negative dependence in a communications setting

Journal of the Royal Statistical Society. Series B: Statistical Methodology

Volumn 63, Issue 4, 2001, Pages 843-853

  Lawrance, A J ^a   Balakrishna, N ^b  

^a UNIVERSITY OF BIRMINGHAM   (United Kingdom)

^b Department of Physics   (India)

Author keywords

Chaos; Communications; Electronics; Negative dependence; Perron Frobenius theory; Quadratic autocorrelations; Shift maps

Indexed keywords

EID: 0035540923     PISSN: 13697412     EISSN: None     Source Type: Journal    
DOI: 10.1111/1467-9868.00316     Document Type: Article

References (8)

1. Hall, P. and Wolff, R. C. L. (1995) On the strength of dependence of a time series generated by a chaotic map. J. Time Ser. Anal., 16, 571-583.
2. Kennedy, M. P., Rovatti, R. and Setti, G. (2000) Chaotic Electronics in Telecommunication. London: Chapman and Hall - CRC.
3. Kohda, K. and Tsuneda, A. (1997) Statistics of chaotic binary sequences. IEEE Trans. Inform. Theory, 43, 104-112.
4. Kolumban, G. and Kennedy, M. P. (2000) The role of synchronization in digital communications using chaos - part III: Performance bounds for correlation receivers. IEEE Trans. Circuits Syst. 1, 47, 1673-1682.
5. Lasota, A. and Mackey, M. C. (1994) Chaos, Fractals and Noise, 2nd edn. New York: Springer.
6. Mazzini, G., Setti, G. and Rovatti, R. (1997) Chaotic complex spreading sequences for asynchronous DS-CDMA part 1: System modelling and results. IEEE Trans. Circuits Syst. 1, 44, 937-947.
7. Parlitz, A. and Ergezinger, S. (1994) Robust communication based on chaotic spreading sequences. Phys. Lett. A, 188, 146-150.
8. Rovatti, R., Setti, G. and Mazzini, G. (1998) Chaotic complex spreading sequences for asynchronous DS-CDMA -part 2: Some theoretical performance bounds. IEEE Trans. Circuits Syst. 1, 45, 496-506.