Modeling and Analysis of Chaos-based Spread Spectrum Scheme using Irregular LDPC Code and Non-Coherent 16-DCSK under Fading and Jamming
Abstract
In chaos-based spread spectrum systems, the use of spreading code and chaotic binary sequence expands the bandwidth of the information-bearing signal but this expansion results in SNR degradation under the constraint of constant channel capacity according to Hartley-Shannon law. To compensate for this drawback, our proposed model employs an irregular low-density parity-check (LDPC) code with its iterative decoding algorithm. Coupled with this forward error correction (FEC) coding, we used non-coherent (NC) 16-ary differential chaos shift keying (16-DCSK) that additionally provides the ability of data encryption due to its use of chaotic signals compared with the conventional modulation schemes. Analytical expressions of bit error probability (BEP) are derived under the assumption of the three-ray model along with partial band noise jamming (PBNJ) over a Rayleigh fading channel. Simulation results assert that the proposed system can mitigate the effect of PBNJ via lowering BEP by coding gain and processing gain under identical transmission power. It is also confirmed that a higher level of security can be provided by the use of proposed two iteration functions of Duffing Map-based chaotic binary sequence than the security level of one iteration function of Logistic Map, based on the balance and autocorrelation analysis.
Keywords:
BEP, chaos-based spread spectrum, chaotic binary sequence, irregular LDPC code, non-coherent 16-DCSK, PBNJDownloads
References
A. Chengquan, Z. Tingxian, “Design of chaotic spread-spectrum sequences with good correlation properties for DS/CDMA”, International Symposium on Circuits and Systems, Bangkok, Thailand, May 25-28, 2003
A. Elsharkawi, R. M. El-Sagheer, H. Akah, H. Taha, “A novel image stream cipher based on dynamic substitution”, Engineering, Technology & Applied Science Research, Vol. 6, No. 5, pp. 1195-1199, 2016 DOI: https://doi.org/10.48084/etasr.729
G. Mazzini, G. Setti, R. Rovatti, “Chaotic complex spreading sequences for asynchronous DS-CDMA-part I: system modeling and results”, IEEE Transactions on Circuits Systems I: Fundamental Theory and Applications, Vol. 44, No. 10, pp. 937-947, 1997 DOI: https://doi.org/10.1109/81.633883
G. Mazzini, R. Rovatti, G. Setti, “Chaos-based asynchronous DS-CDMA systems and enhanced Rake receivers: measuring the improvements”, IEEE Transactions on Circuits and Systems-I: Fundamental Theory and Applications, Vol. 48, No. 12, pp. 1445-1453, 2001 DOI: https://doi.org/10.1109/TCSI.2001.972851
G. Kaddoum, “Wireless chaos-based communication systems: a comprehensive survey”, IEEE Access, Vol. 4, pp. 2621-2648, 2016 DOI: https://doi.org/10.1109/ACCESS.2016.2572730
S. Y. Chung, G. D. Forney Jr, T. J. Richardson, R. Urbanke, “On the design of low-density parity-check codes within 0.0045 dB of the Shannon limit”, IEEE Communications Letters, Vol. 5, No. 2, pp. 58-60, 2001 DOI: https://doi.org/10.1109/4234.905935
G. Kaddoum, J. Olivain, G. B. Samson, P. Giard, F. Gagnon, “Implementation of a differential chaos shift keying communication system in GNU radio”, International Symposium on Wireless Communication Systems, Paris, France, August 28-31, 2012 DOI: https://doi.org/10.1109/ISWCS.2012.6328505
S. Wang, X. Wang, “M-DCSK-based chaotic communications in MIMO multipath channels with no channel state information”, IEEE Transactions on Circuits and Systems-II: Express Briefs, Vol. 57, No. 12, pp. 1001-1005, 2010 DOI: https://doi.org/10.1109/TCSII.2010.2083091
M. M. Hasan, T. M. Faruqi, M. Tazrean, T. H. Chowdhury, “Biometric encryption using Duffing map”, 4th International Conference on Advances in Electrical Engineering, Dhaka, Bangladesh, September 28-30, 2017 DOI: https://doi.org/10.1109/ICAEE.2017.8255452
W. Sung, S. Kang, P. Kim, D. I. Chang, D. J. Shin, “Performance analysis of APSK modulation for DVB-S2 transmission over nonlinear channels”, International Journal of Satellite Communications, Vol. 27, pp. 295-311, 2009 DOI: https://doi.org/10.1002/sat.938
S. Lin, D. Costello, Error control coding, Pearson-Prentice Hall, 2004
L. Wang, G. Cai, G. Chen, “Design and performance analysis of a new multiresolution M-ary differential chaos shift keying communication system”, IEEE Transactions on Wireless Communications, Vol. 14, No. 9, pp. 5197-5208, 2015 DOI: https://doi.org/10.1109/TWC.2015.2434820
A. Elsanousi, S. Ozturk,“Performance analysis of OFDM and OFDM-MIMO systems under fading channels”, Engineering, Technology & Applied Science Research, Vol. 8, No. 4, pp. 3249-3254, 2018 DOI: https://doi.org/10.48084/etasr.2209
D. P. Agrawal, Q. A. Zeng, Introduction to wireless and mobile systems. Cengage Learning, 2016
F. L. Pedrotti, L. M. Pedrotti, L. S. Pedrotti, Introduction to optics, Cambridge University Press, 2017 DOI: https://doi.org/10.1017/9781108552493
S. Buzzi, L. Venturino, A. Zappone, “Multipath delay acquisition in asynchronous doubly-selective DS/CDMA fading channels”, IEEE Communications Letters, Vol. 14, No. 4, pp. 276-278, 2010 DOI: https://doi.org/10.1109/LCOMM.2010.04.091882
Y. Xia, C. K. Tse, F. C. M. Lau, “Performance of differential chaos-shift-keying digital communication systems over a multipath fading channel with delay spread”, IEEE Transactions on Circuits and Systems-II: Express Briefs, Vol. 51, No. 12, pp.680-684, 2004 DOI: https://doi.org/10.1109/TCSII.2004.838329
H. Taub, D. L. Schilling, Principles of communication systems, McGraw-Hill, 1971
J. Zhan, L. Wang, M. Katz, G. Chen, “A differential chaotic bit-interleaved coded modulation system over multipath Rayleigh channels”, IEEE Transactions on Communications, Vol. 65, No. 12, pp. 5257-5265, 2017 DOI: https://doi.org/10.1109/TCOMM.2017.2719030
L. Jordanova, L. Laskov, D. Dobrev, “Influence of BCH and LDPC code parameters on the BER characteristic of satellite DVB channels”, Engineering, Technology & Applied Science Research, Vol. 4, No. 1, pp. 591-595, 2014 DOI: https://doi.org/10.48084/etasr.394
J. Meggitt, “Error correcting codes and their implementation for data transmission systems”, IRE Transactions on Information Theory, Vol. 7, No. 4, pp. 234-244,1961 DOI: https://doi.org/10.1109/TIT.1961.1057659
W. Wei, J. Kim, “Modeling and analysis of the anti-jamming (AJ) spread spectrum system using quantized chaotic sequence with LDPC for reliable data link”, VII International Conference on Network, Communication and Computing, Taipei, Taiwan, December 14-16, 2018 DOI: https://doi.org/10.1145/3301326.3301340
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