Abstract
As the widely investigation of chaotic sequence in the application of communication, binary and quaternary phaseshift keying modes have been extensively adopted in spread spectrum communication. Based on Chebyshev chaotic mapping, binary-phase and quadric-phase chaotic spreading sequences are generated, and the relationship among the performance of balance and fractal parameter, initial value and the period of sequence are analyzed. The non-balanced points which should be avoided in the chaotic sequence when applying in CDMA system are proposed. Aiming at the problem which the conventional degree of balance functions only investigates the balance of the 2-valued sequence, the maximum balanced difference method is proposed. The definition of maximum balanced difference is proposed. We analyze the balance performance of quadric-phase Chebyshev sequence. Experimental results show that the maximum balanced difference function can replace the traditional binary-phase degree of balance function to research the balance of digital 2-valued and multi-valued sequence, which has better universality.
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References
Kohda, T., Tsuneda, A.: Pseudnise sequences by chaotic nonlinear maps and their correlation properties [J]. IEICE Trans. Commun. E76-B(8), 855–862 (1993)
Mazzini, G., Setti, G., Rovatti, R.: Chaotic complex spreading sequence for asynchronous DS-CDMA-part I: system modeling and results[J]. IEEE Trans. Circuits and system CAS-I-44(10), 937–947 (1997)
Makoto, I.: Spread spectrum communication via chaos [J]. International Journal of Bifurcation and Chaos 9(1), 155–213 (1999)
Heidari-Bateni, G., McGillem, C.D.: A Chaotic Direct-Spread Communication System [J]. IEEE Trans. On Communication 42(2/3/4), 1524–1527 (1994)
Yu, Y.-h., Ma, S.-z., Liu, W.-d.: The performance of balance base on Chebyshev2-phasc Chaotis spreading Sequence. [J] Journal of Jilin University (Information Science Edition) 22(3), 228–231 (2004)
Cai, G.-q., Song, G.-w., Zhou, L.-l.: Quadriphase spread-spectrum sequences based onchebyshev map. [J]ACTA Electronica Sinica 27(9), 74–77 (1999)
Cong, L., Shao-qian, L.: Chaotic Spreading Sequences with Multiple Access Performance Better Than Random Sequences [J]. IEEE Trans on Circuit and System-I: fundamental Theory and Application 47(3), 394–397 (2000)
Zhang, Q., Zheng, J.-l., Jian, X.-c.: A-CDMA system simulation with chaotic spreadingsequences. [J]Journal of Tsinghua University(Science and Technology) 42(7), 901–904 (2002)
Frey, D.R.: Chaotic digital encoding: an approach to secure communication [J]. IEEE Trans. Circuits and System CAS-I-40(10), 660–666 (1993)
Abarbanel, H.D.I., Linsay, P.S.: Secure communication and unstable periodic orbits of strange attractors [J]. IEEE Trans. Circuits and System CAS-I-40(10), 643–645 (1993)
Bernhardt, P.: A Chaotic frequency modulation [A]Chaos in communications, Washington, pp. 62–18 (1993)
Wang, H., Hu, J.-d.: The Improved Logistic-Map Chaotoc Spread Spectrum Sequences. [J] Journal of CHINA Institute of Communications 18(8), 71–77 (1997)
Zhang, Q., Zheng, J.-l., Sun, S.-y.: The Optimization of Quaternary Chaotic Spreading Sequences and System Simulation. [J]Chinese Journal of Radio Science 17(6), 614–619 (2002)
Heidari-Bateni, G., McGillem, C.D.: Chaotic sequence of spread spectrum: An alternative to PN-sequences. In: IEEE International Conference on Selected Topics in Wireless communication, Vancouver,Canada, pp. 437–440. IEEE Computer Society Press, Los Alamitos (1992)
Karkainen, K.H.: Meaning of Maximum and Mean-Square Cross-Correlation as a Performance Measure for CDMA Code Families and Their Influence on System Capacity [J]. EICE Trans. on Commun. E76-B(8), 848–854 (1993)
Yu, Y.-h., Liu, W., Zhu, J.: Balance of binary-phase and quadric-phase oversampled chaotic map sequences. [J]Journal of Jilin University (Engineering and Technology Edition) 36(5), 799–802 (2006)
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Yu, Y., Wang, S., Han, Y. (2007). Analysis of the Performance of Balance of Digital Multi-value Based on Chebyshev Chaotic Sequence. In: Kang, L., Liu, Y., Zeng, S. (eds) Advances in Computation and Intelligence. ISICA 2007. Lecture Notes in Computer Science, vol 4683. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-74581-5_62
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DOI: https://doi.org/10.1007/978-3-540-74581-5_62
Publisher Name: Springer, Berlin, Heidelberg
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