Abstract
Hyperchaos sequences have been widely used as complex pseudorandom sequences. However, the autocorrelation performance of some well known Hyperchaos sequences, such as Hopfield sequence, is poor, and their applications are limited. Based on recently presented APAS theorem, we have modified the Hopfield map to Symmetrical-Hopfield(S-Hopfield) map, and the autocorrelation performance of the S-Hopfield sequence is excellent, whereas other performances of the S-Hopfield sequence remain invariant or become better, and this sequence can be used more widely.
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References
Gambi, E., Chiaraluce, F., Spinsante, S.: Chaos-Based Radars for Automotive Applications: Theoretical Issues and Numerical Simulation. IEEE Transactions on Vehicular Technology 57(6), 3858–3863 (2008)
Sune, R.J.: Noise radar using random phase and frequency modulation. IEEE Trans. Geosci. Remote Sens. 42(11), 2370–2384 (2004)
Flores, B.C., Solis, E.A., Thomas, G.: Assessment of chaos-based FM signals for range-doppler imaging. IEE Proc.-Radar Sonar Navig. 150(4), 313–322 (2003)
Flores, B.C., Solis, E.A., Thomas, G.: Chaotic signals for wideband radar imaging. In: Proc. SPIE-Int. Soc. Opt. Eng., vol. 4727, pp. 100–111 (2002)
Chen, B., Zhou, Z.O., Liu, G.H., Zhang, Y., Tang, J.: Application of Chaos Series as Noise Source in Noise Radar. Modern Radar 30(5), 24–28 (2008)
Myers, J., Flores, B.C.: Radar imaging via random FM correlations. In: Proc. SPIE-Int. Soc. Opt. Eng., vol. 3721, pp. 130–139 (1999)
Bucolo, M., Caponetto, R., Fortuna, L., Frasca, M., Rizzo, A.: Does Chaos Work Better Than Noise? IEEE Circuits and Systems Magazine 2(3), 4–19 (2002)
Jose, A.R., Eduardo, R., Juan, C.E., Hector, P.: Correlation analysis of chaotic trajectories from Chua’s system. Chaos, Solitons and Fractals 36(5), 1157–1169 (2008)
Syuji, M., Miki, U.K., Kei, E., Mika, I., et al.: New developments in large deviation statistics and time correlation calculations in chaotic dynamics and stochastic processes. IEICE Technical Report, 3, 37–42 (2008)
Chen, B., Tang, J., Cai, P., et al.: Research on autocorrelation of chaotic sequence by phase space method. In: 2010 IEEE International Conference on Wireless Communications, Networking and Information Security, Beijing, China, vol. 2, pp. 6–12 (2010)
Chen, J.Y., Chen, Z.X., et al.: Circuit realization of a chaotic network. Journal of Quantum Electronics 15(4), 356–361 (1998)
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Chen, B. (2011). Autocorrelation Performance Improvement of Hopfield Hyperchaos Sequence Based on APAS Theorem. In: Jin, D., Lin, S. (eds) Advances in Computer Science, Intelligent System and Environment. Advances in Intelligent and Soft Computing, vol 105. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-23756-0_60
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DOI: https://doi.org/10.1007/978-3-642-23756-0_60
Publisher Name: Springer, Berlin, Heidelberg
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