Navya Holla K.; Sudha K. L.; Vinod B. Durdi

Bit Error Rate Analysis of DCSK in SISO and MIMO Systems under Multipath Fading Channel

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Author(s)

Navya Holla K. ^1,* Sudha K. L. ¹ Vinod B. Durdi ²

1. Dayananda Sagar College of Engineering, Electronics and Communication Engineering, Bangalore, 560001, India

2. Dayananda Sagar College of Engineering, Electronics and Telecommunication Engineering, Bangalore, 560001, India

* Corresponding author.

DOI: https://doi.org/10.5815/ijwmt.2026.05.14

Received: 29 Apr. 2026 / Revised: 18 Jun. 2026 / Accepted: 13 Aug. 2026 / Published: 8 Oct. 2026

Index Terms

Additive white Gaussian noise, Bit error rate, Differential Chaos Shift Keying, Equal gain combining, Multiple Input Multiple Output

Abstract

The Bit Error Rate (BER) of Differential Chaos Shift Keying (DCSK) is analysed for both Single Input Single Output (SISO) and 2×2 Multiple Input Multiple Output (MIMO) configurations over multipath fading channels. Chaotic carriers are generated using a logistic map with control parameter r = 3.99 and spreading factor β = 128. Closed form BER expressions are derived for both architectures and cross validated through MATLAB simulations. In the SISO case, the derivation proceeds under Additive White Gaussian Noise (AWGN), while the MIMO model incorporates multipath fading and applies Equal Gain Combining (EGC) at the receiver to exploit spatial diversity. The 2×2 MIMO–EGC scheme reduces BER by approximately one order of magnitude relative to SISO at comparable SNR. Theoretical and simulation results agree well at low SNR; a divergence at high SNR is attributed to the Line of Sight assumption embedded in the analytical model, which sets the second-path coefficient to zero and therefore underestimates the diversity gain seen in simulation.

Cite This Paper

Navya Holla K., Sudha K. L., Vinod B. Durdi, "Bit Error Rate Analysis of DCSK in SISO and MIMO Systems under Multipath Fading Channel", International Journal of Wireless and Microwave Technologies(IJWMT), Vol.16, No.5, pp. 236-249, 2026. DOI:10.5815/ijwmt.2026.05.14

Reference

[1]H. Yang, W. K. S. Tang, G. Chen, and G. P. Jiang (2016), "System Design and Performance Analysis of Orthogonal Multi-Level Differential Chaos Shift Keying Modulation Scheme," IEEE Trans. Circuits Syst. I, vol. 63, no. 1, pp. 146–156, doi: 10.1109/TCSI.2015.2510622.
[2]M. Sangeetha and V. Bhaskar (2018), "NR-DCSK Based Chaotic Communications in MIMO Multipath Channels," Wirel. Pers. Commun., vol. 103, no. 2, pp. 1819–1834, doi: 10.1007/s11277-018-5882-3.
[3]O. Faruk and S. E. Ullah (2018), "Performance Evaluation of Orthogonal Multi-level Chaos Shift Keying Modulation Scheme Aided MIMO Wireless Communication System," International Journal of Networks and Communications, vol. 8, no. 1, pp. 10–17, doi: 10.5923/j.ijnc.20180801.02.
[4]G. Kaddoum, F. Gagnon, P. Chargé, and D. Roviras (2012), "A Generalized BER Prediction Method for Differential Chaos Shift Keying System Through Different Communication Channels," Wirel. Pers. Commun., doi: 10.1007/s11277-010-0207-1.
[5]Z. Zhou, J. Wang, and Y. Ye (2010), "Exact BER Analysis of Differential Chaos Shift Keying Communication System in Fading Channels," Wirel. Pers. Commun., doi: 10.1007/s11277-009-9685-4.
[6]A. J. Lawrance and G. Ohama (2003), "Exact Calculation of Bit Error Rates in Communication Systems with Chaotic Modulation," IEEE Trans. Circuits Syst. I, vol. 50, no. 11, Nov, doi: 10.1109/TCSI.2003.818612.
[7]W. M. Tam, F. C. M. Lau, C. K. Tse, and A. J. Lawrance (2004), "Exact Analytical Bit Error Rates for Multiple Access Chaos-Based Communication Systems,” IEEE Trans. Circuits Syst. II: Express Briefs, vol. 51, no. 9, Sep., doi: 10.1109/TCSII.2004.832773.
[8]W. M. Tam, F. C. M. Lau, C. K. Tse, and M. M. Yip (2002), "An Approach to Calculating the Bit-Error Rate of a Coherent Chaos-Shift-Keying Digital Communication System Under a Noisy Multiuser Environment," IEEE Trans. Circuits Syst. I, vol. 49, no. 2, Feb., doi: 10.1109/81.983868.
[9]W. Xu, L. Wang, and G. Chen (2014), "Performance analysis of the CS-DCSK/BPSK communication system," IEEE Trans. Circuits Syst. I, vol. 61, no. 9, pp. 2624-2633, doi: 10.1109/TCSI.2014.2312477.
[10]T. P. Varma et al (2023)., "Performance Evaluation of MIMO System with Different Receiver Structures," in Proc. Int. Conf. Adv. Comput. Commun. Syst. (ICACCS), Mar. 17-18, doi: 10.1109/ICACCS57279.2023.10112838.
[11]B. M. Tazehkand, F. A. Azhiri, R. Abdolee, and V. Vakilian (2024), "On the Theoretical BER Performance of STCM-MIMO Systems," in Proc. Consum. Commun. Netw. Conf. (CCNC), Jan. 6-9, doi: 10.1109/CCNC51664.2024.10454896.
[12]C. N. Muoghalu, P. N. Achebe, and F. A. Aigbodioh (2023), "MIMO-OFDM Techniques for Wireless Communication System: Performance Evaluation Review," Int. J. Adv. Netw. Appl., vol. 14, no. 4, pp. 5572-5581, doi: 10.35444/IJANA.2023.14410.
[13]K. N. Holla and K. L. Sudha (2022), "BER Performance Comparison Between Different Combinations of STBC and DCSK of Independent Samples and Bits of Message Signal," in Proc. 2nd Springer Int. Conf. Mobile Comput. Sustain. Informatics (ICMCSI), vol. 68, doi: 10.1007/978-981-16-1866-6_39.
[14]H. Singh, G. K. Soni, P. Suryawanshi, and G. Shankar (2020), "Performance Analysis and BER Comparison of OFDM System for 4x4 MIMO Fading Channel in Different Modulation Scheme," in Proc. Int. Conf. Smart Syst. Invent. Technol. (ICSSIT), Aug. 20-22, doi: 10.1109/ICSSIT48917.2020.9214119.
[15]K. K. Vaigandla, A. S. Rao, and K. Srikanth (2021), "Study of Modulation Schemes over a Multipath Fading Channels," Int. J. Mod. Trends Sci. Technol., vol. 7, no. 10, pp. 34-39, doi: 10.46501/IJMTST0710005.
[16]A. Kumar, P. Kumar, R. Kumar, S. Chaudhary, and V. K. Gautam (2021), "Bits Error Rate Calculation of BPSK and QPSK Using MATLAB," J. Emerg. Technol. Innov. Res., vol. 8, no. 7, pp. 569-574.
[17]A. S. Rao, V. K. Kumar, and M. Devsingh (2021), "Channel Capacity with and without CSIT for different configurations of MIMO System," Int. J. Anal. Exp. Modal Anal., vol. 13, no. 1, pp. 48-55.
[18]K. K. Vaigandla and N. Venu (2021), "BER, SNR and PAPR Analysis of OFDMA and SC-FDMA," GIS Sci. J., vol. 8, no. 9, pp. 970-977.
[19]J. Song and Z. Zhu (2019), "A Scheme of Combining Differential Chaos Shift Keying with Multiple-Input Multiple-Output System," in Proc. Int. Conf. Inf. Technol. Comput. Appl. (ITCA), Dec. 20-22, doi: 10.1109/ITCA49981.2019.00045.
[20]K. N. Holla and K. L. Sudha (2023), "Bit Error Rate Performance Analysis of DCSK-MIMO System using Logistic & Chebyshev Mapping Techniques," in Proc. Int. Conf. Innov. Mech. Ind. Appl. (ICIMIA), Dec. 21-23, doi: 10.1109/ICIMIA60377.2023.10426437.
[21]N. X. Quyen (2021), "BER Analysis For 2x2 Mimo High-Efficiency DCSK System," Electrica, vol. 21, no. 1, pp. 50-57, 2021, doi: 10.5152/electrica.2021.20036.
[22]N. X. Quyen (2018), "Bit-error-rate evaluation of high-efficiency differential-chaos-shift-keying system over wireless channels," J. Circuits Syst. Comput., vol. 27, no. 1, p. 1850008, doi: 10.1142/S0218126618500081.
[23]I. Khan, M. Cheffena, and M. M. Hasan, "Data Aided Channel Estimation for MIMO-OFDM Wireless Systems Using Reliable Carriers," IEEE Access, vol. 11, pp. 47836-47847, 2023.
[24]F. Khennoufa, K. Abdellatif, and F. Kara, "Bit error rate evaluation of relay-aided cooperative NOMA with energy harvesting under imperfect SIC and CSI," Physical Communication, vol. 52, Art. no. 101630, Jun. 2022.
[25]W. Kang, "A Nonbinary LDPC-Coded Probabilistic Shaping Scheme for a Rayleigh Fading Channel," Entropy, vol. 24, no. 11, Art. no. 1649, Nov. 2022.
[26]L. Yang, P. Li, F. Meng, and S. Yu, "Performance Analysis of RIS-Assisted UAV Communication Systems," IEEE Transactions on Vehicular Technology, vol. 71, no. 8, pp. 9078-9082, Aug. 2022.
[27]P. Shachi, T. Sanjana, K. R. Sudhindra, and M. N. Suma, "Outage and Error-Rate Analysis of NOMA-Inspired Multicarrier Underlay Cognitive Radio System," IEEE Access, vol. 10, pp. 113956-113968, 2022.

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