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BER performance analysis of compound chaotic sequence (CCS)-based NR-DCSK system under multipath fading channel

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Abstract

This paper presents the performance analysis of compound chaotic sequence (CCS)-based noise reduction differential chaos shift keying (NR-DCSK) system under multipath Rayleigh fading channel conditions. The special characteristics of chaotic sequences are their deterministic randomness behaviour that adds security and multipath immunity to the data when used as a carrier in communication systems. In this paper, the chaotic sequences are generated by combining the outputs of chaotic maps, such as logistic map, Chebyshev map, Bernoulli shift map, tent map, etc., leading to new complex sequences known as CCSs. This sequence possesses more randomness, overcomes severe interference levels encountered during transmission and provides higher multipath immunity compared with those of pseudo-noise (PN) codes. Since NR-DCSK is a spread spectrum technique, its performance in wireless multipath fading channels has important considerations. The CCS is used as a carrier in NR-DCSK systems, which leads to improved bit error rate (BER) performance. Comparisons of simulation results to theoretical BER expressions of additive white Gaussian noise (AWGN) and Rayleigh fading channels have been carried out to test the efficiency of the proposed CCS-based NR-DCSK system.

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Author information

Authors and Affiliations

  1. Department of Electronics and Communication Engineering, SRM Institute of Science and Technology, Chennai, India

    M Sangeetha

  2. Department of Electrical and Computer Engineering, San Francisco State University, 1600 Holloway Avenue, San Francisco, CA, 94132, USA

    Vidhyacharan Bhaskar

  3. Department of Physics, SRM Institute of Science and Technology, Chennai, India

    C Muthamizhchelvan

  4. Department of Physics, Anna University, Guindy, Chennai, India

    K Murali

Authors
  1. M Sangeetha
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  2. Vidhyacharan Bhaskar
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  3. C Muthamizhchelvan
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  4. K Murali
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Corresponding author

Correspondence to Vidhyacharan Bhaskar.

Appendix

Appendix

This appendix provides the procedure to obtain simulation results. The BER performance of the CCS-based NR-DCSK system is tested for 100 random initial conditions used for the generation of compound chaotic carrier sequences. Hence, the simulation has one main program that runs the subroutine 100 times. Every time we obtain a BER, it is averaged to obtain the final BER for one particular Eb/No. The second program is the simulation of NR-DCSK system that takes the initial conditions as the input, and returns the BER for one particular value of Eb/No. The third program is again a subroutine used for generating NR structure of the compound chaotic carrier sequences that take the initial conditions and reduction factor \( \frac{\beta }{P} \) from the second program as the inputs and return the NR structure of the chaotic carrier sequences to the second program, which then performs the simulation of the CCS-based NR-DCSK system. The simulation of CCS-based NR-DCSK system comprises the following steps:

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Sangeetha, M., Bhaskar, V., Muthamizhchelvan, C. et al. BER performance analysis of compound chaotic sequence (CCS)-based NR-DCSK system under multipath fading channel. Sādhanā 43, 120 (2018). https://doi.org/10.1007/s12046-018-0896-9

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  • DOI: https://doi.org/10.1007/s12046-018-0896-9

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