Discrete-time Modeling and Numerical Evaluation of BER Performance for A BPSK-based DCSK-Walsh Coding Communication System over Multipath Rayleigh Fading Channels
Main Article Content
Abstract
This paper investigates the use of binary phase shift keying (BPSK) modulation for multiple-access communication systems based on differential chaos shift keying-Walsh Coding (DCSK-WC). This aims at converting the chaotic-modulated signal from low-frequency baseband into high frequency band before being transmitted on the channel. In the transmitter, a chaotic sequence is transformed into the non-return-to-zero (NRZ) form which is then fed into the BPSK modulation. The output of modulation, i.e., NRZ-Chaos/BPSK signal, is used as a spreading code in the DCSK-WC modulation. The process of data recovery in the receiver is performed by means of the correlation calculation and energy detection as in the conventional DCSK method. The mathematical model in discrete-time domain describes the operation of the transmitter and receiver over multipath Rayleigh fading channels. The Bit-error-rate performance of the system is evaluated by numerical simulation. The results show that the proposed BPSK/DCSK-WC system allows adjusting the operating frequency band with the use of BPSK, while still keeping the performance equivalent to that of the conventional one.
Keywords
BPSK, DCSK, Multiple access, Walsh code, Multipath channel.
Article Details
References
[1] G. Kolumban, B. Vizvári, W. Schwarz, A. Abel, Differential chaos shift keying: A robust coding for chaos communications, Proc. NDES'96, pp. 87-92, 1996.
[2] G. Kolumbán, G. Kis, Z. Jákó, M.P. Kennedy, FM-DCSK: A robust modulation scheme for chaotic communications, IEICE Trans. Fund., vol. E81-A. pp. 1798-1802, 1998.
[3] 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 Trans. Circuits Syst. II: Exp. Briefs, vol. 51, no. 12, pp. 680-684, 2004.
[4] G. Cai, L. Wang. T. Huang, Channel capacity of M-ary Differ-ential Chaos Shift Keying modulation over AWGN channel, Proc. Int. Symp. Commun. Inf. Technol. (ISCIT), pp. 91-95, 2013.
[5] W. Xu, L. Wang, G. Chen, Performance analysis of the CS-DCSK/BPSK communication system, IEEE Transactions on Circuits and Systems I: Regular Papers, vol. 61(9), pp. 2624-2633, 2014.
[6] N. Quyen, T.Q. Duong, A. Nallanathan, Modeling, Analysis and Performance Comparison of Two Direct Sampling DCSK Receivers under Frequency Nonselective Fading Channels, IET Communications. vol. 10 (11), pp. 12631272, 2016.
[7] M. Delgado-Restituto, A. J. Acosta, A. Rodriguez-Vazquez, A mixed-signal integrated circuit for FM-DCSK modulation, IEEE Journal of Solid-State Circuits, vol. 40, pp. 1460-1471, 2005.
[8] M.P. Kennedy, G. Kolumbán, G. Kis, Z. Jákó, Performance evaluation of FM-DCSK modulation in multipath environments, IEEE Trans. Circuits Syst. I. vol. 47, pp. 1702-1711, 2000.
[9] R.L. Peterson, R.E. Ziemer, D.E. Borth, Introduction to Spread Spectrum Communications, vol. 995, New Jersey: Prentice Hall, 1995.
[10] G. Kolumban, M.P. Kennedy, G. Kis, Multilevel differential chaos shift keying, Proc. NDES 97, pp. 191-196, 1997.
[11] F.C.M. Lau, M.M. Yip, C.K. Tse, S.F. Hau, A multiple access technique for differential chaos shift keying, IEEE Trans. Circuits Syst. I, vol. 49, pp. 96-104, 2002.
[12] F.C.M. Lau, K.Y. Cheong, C.K. Tse, Permutation-Based DCSK and Multiple-Access DCSK Systems, IEEE Trans. Circuits Syst. 1. vol. 50, pp. 733-742, 2003.
[13] P. Chen, L. Wang, G. Chen, DDCSK-Walsh Coding: A Reliable Chaotic Modulation-Based Transmission Technique, IEEE Trans. Circuits Syst. II, vol. 59, pp. 128-132, 2012.
[14] G. Kolumbán, M.P. Kennedy, Z. Jákó, G. Kis, Chaotic communications with correlator receiver: Theory and performance limit, Proceedings of the IEEE, vol 90, pp. 711-732, 2002.
[15] P. Stavroulakis, Chaos Applications in Telecommunications, CRC Press, 2005.
[16] F.C.M. Lau, C.K. Tse, Chaos-Based Digital Communication Systems: Operating Principles, Analysis Methods, and Performance Evaluation, Springer, New York, 2003.
[17] A.F. Molisch, Wireless Communications, 2nd ed. Wiley, 2011.
[18] G. Kis, Performance analysis of chaotic communications systems. PhD thesis, 2003.
[19] M. Sushchik, L.S. Tsimring, A.R. Volkovskii, Performance analysis of correlation-based communication schemes utilizing chaos, IEEE Trans. Circuits Syst. I, vol. 47, pp. 1684-1691, 2000.
[20] W.M. Tam, F.C.M. Lau, C.K. Tse, Analysis of bit error rates for multiple access CSK and DCSK communication systems, IEEE Trans. Circuits Syst. I. vol. 50, pp. 702-707, 2003.
[2] G. Kolumbán, G. Kis, Z. Jákó, M.P. Kennedy, FM-DCSK: A robust modulation scheme for chaotic communications, IEICE Trans. Fund., vol. E81-A. pp. 1798-1802, 1998.
[3] 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 Trans. Circuits Syst. II: Exp. Briefs, vol. 51, no. 12, pp. 680-684, 2004.
[4] G. Cai, L. Wang. T. Huang, Channel capacity of M-ary Differ-ential Chaos Shift Keying modulation over AWGN channel, Proc. Int. Symp. Commun. Inf. Technol. (ISCIT), pp. 91-95, 2013.
[5] W. Xu, L. Wang, G. Chen, Performance analysis of the CS-DCSK/BPSK communication system, IEEE Transactions on Circuits and Systems I: Regular Papers, vol. 61(9), pp. 2624-2633, 2014.
[6] N. Quyen, T.Q. Duong, A. Nallanathan, Modeling, Analysis and Performance Comparison of Two Direct Sampling DCSK Receivers under Frequency Nonselective Fading Channels, IET Communications. vol. 10 (11), pp. 12631272, 2016.
[7] M. Delgado-Restituto, A. J. Acosta, A. Rodriguez-Vazquez, A mixed-signal integrated circuit for FM-DCSK modulation, IEEE Journal of Solid-State Circuits, vol. 40, pp. 1460-1471, 2005.
[8] M.P. Kennedy, G. Kolumbán, G. Kis, Z. Jákó, Performance evaluation of FM-DCSK modulation in multipath environments, IEEE Trans. Circuits Syst. I. vol. 47, pp. 1702-1711, 2000.
[9] R.L. Peterson, R.E. Ziemer, D.E. Borth, Introduction to Spread Spectrum Communications, vol. 995, New Jersey: Prentice Hall, 1995.
[10] G. Kolumban, M.P. Kennedy, G. Kis, Multilevel differential chaos shift keying, Proc. NDES 97, pp. 191-196, 1997.
[11] F.C.M. Lau, M.M. Yip, C.K. Tse, S.F. Hau, A multiple access technique for differential chaos shift keying, IEEE Trans. Circuits Syst. I, vol. 49, pp. 96-104, 2002.
[12] F.C.M. Lau, K.Y. Cheong, C.K. Tse, Permutation-Based DCSK and Multiple-Access DCSK Systems, IEEE Trans. Circuits Syst. 1. vol. 50, pp. 733-742, 2003.
[13] P. Chen, L. Wang, G. Chen, DDCSK-Walsh Coding: A Reliable Chaotic Modulation-Based Transmission Technique, IEEE Trans. Circuits Syst. II, vol. 59, pp. 128-132, 2012.
[14] G. Kolumbán, M.P. Kennedy, Z. Jákó, G. Kis, Chaotic communications with correlator receiver: Theory and performance limit, Proceedings of the IEEE, vol 90, pp. 711-732, 2002.
[15] P. Stavroulakis, Chaos Applications in Telecommunications, CRC Press, 2005.
[16] F.C.M. Lau, C.K. Tse, Chaos-Based Digital Communication Systems: Operating Principles, Analysis Methods, and Performance Evaluation, Springer, New York, 2003.
[17] A.F. Molisch, Wireless Communications, 2nd ed. Wiley, 2011.
[18] G. Kis, Performance analysis of chaotic communications systems. PhD thesis, 2003.
[19] M. Sushchik, L.S. Tsimring, A.R. Volkovskii, Performance analysis of correlation-based communication schemes utilizing chaos, IEEE Trans. Circuits Syst. I, vol. 47, pp. 1684-1691, 2000.
[20] W.M. Tam, F.C.M. Lau, C.K. Tse, Analysis of bit error rates for multiple access CSK and DCSK communication systems, IEEE Trans. Circuits Syst. I. vol. 50, pp. 702-707, 2003.