Skip to main content
SpringerLink
Log in

Analysis of Performance of BPSK in an Additive Combination of Impulsive and Gaussian Noise

  • Published:
Wireless Personal Communications Aims and scope Submit manuscript

Abstract

We analyze the bit error rate (BER) performance ofa correlation receiver subject to impulsive plusGaussian noisewith coherent binary phase-shift keying (BPSK). The impulsive component of the noise is assumed to be due torandom occurrences of impulses following a Poisson arrival process.Using the moments of theimpulsive component, aseries expression for the BERis derived by a Taylor's series approach. From this expression, approximate formulae for extreme valuesof signal-to-noise ratio (SNR) and impulse arrival rate (IAR)are obtained. Numerical results show thatwhen the square root raisedcosine pulse is used, (1) the BER performance improves with increaseof the rolloff factor, but the improvement becomes more significantwith decrease of the Gaussian-to-total noise ratioor increase of the IAR,(2) as the rolloff factor increases, a decrease of the IARdegrades the BER performance for low SNRs, but improves it for high SNRs.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. D. Gianfelici, L. Franchina and S.A. Kosmopoulos, “Symbol-to-Symbol Performance Evaluation of Densely Populated Asynchronous DS-CDMA in Gaussian and Impulsive Noise Environments: A Fourier-Bessel Series Approach”, IEEE Transactions on Communications, Vol. 46, No. 7, pp. 866-869, 1998.

    Google Scholar 

  2. B. Shepelavey, “Non-Gaussian Atmospheric Noise in Binary-Data, Phase-Coherent Communication Systems”, IEEE Transactions on Communications Systems, Vol. 11, pp. 280-284, 1963.

    Google Scholar 

  3. V.K. Jain and S.N. Gupta, “Digital Communication Systems in Impulsive Atmospheric Radio Noise”, IEEE Transactions on Aerospace and Electronic Systems, Vol. 15, No. 2, pp. 228-236, 1979.

    Google Scholar 

  4. T. Hashimoto, K. Yamauchi and H. Maruyama, “Experimental Evaluation of BPSK Optimum Receiver for Impulsive Noise”, Electronics and Communications in Japan, Part 1, Vol. 80, No. 9, pp. 1-7, 1997.

    Google Scholar 

  5. R.E. Ziemer, “Character Error Probabilities for M-ary Signaling in Impulsive Noise Environments”, IEEE Transactions on Communication Technology, Vol. COM-15, No. 1, pp. 471-474, 1967.

    Google Scholar 

  6. J.K. Omura and P.D. Shaft, “Modem Performance in VLF Atmospheric Noise”, IEEE Transactions on Communication Technology, Vol. COM-19, No. 5, pp. 659-668, 1971.

    Google Scholar 

  7. G.A. Tsihrintzis and C.L. Nikias, “Data-Adaptive Algorithms for Signal Detection in Sub-Gaussian Impulsive Interference”, IEEE Transactions on Signal Processing, Vol. 45, No. 7, pp. 1873-1878, 1997.

    Google Scholar 

  8. G.A. Tsihrintzis and C.L. Nikias, “Performance of Optimum and Suboptimum Receivers in the Presence of Impulsive Noise Modeled as an Alpha-Stable Process”, IEEE Transactions on Communications, Vol. 43, No. 2/3/4, pp. 904-914, 1995.

    Google Scholar 

  9. G.A. Tsihrintzis and C.L. Nikias, “Incoherent Receivers in Alpha-Stable Impulsive Noise”, IEEE Transactions on Signal Processing, Vol. 43, No. 9, pp. 2225-2229, 1995.

    Google Scholar 

  10. E.E. Kuruoglu, W.J. Fitzgerald and P.J.W. Rayner, “Near Optimal Detection of Signals in Impulsive Noise Modeled with a Symmetric ?-Stable Distribution”, IEEE Communications Letters, Vol. 2, No. 10, pp. 282-284, 1998.

    Google Scholar 

  11. R.E. Ziemer, “Error Probabilities Due to Additive Combinations of Gaussian and Impulsive Noise”, IEEE Transactions on Communication Technology, Vol. COM-15, No. 1, pp. 32-44, 1967.

    Google Scholar 

  12. L. Izzo and L. Paura, “Error Probability for Fading CPSK Signals in Gaussian and Impulsive Atmospheric Noise Environments”, IEEE Transactions on Aerospace and Electronic Systems, Vol. AES-17, No. 5, pp. 719-722, 1981.

    Google Scholar 

  13. E.C. Field, Jr. and M. Lewinstein, “Amplitude-Probability Distribution Model for VLF/ELF Atmospheric Noise”, IEEE Transactions on Communications, Vol. COM-26, No. 1, pp. 83-87, 1978.

    Google Scholar 

  14. A.J. Efron, P.F. Swaszek and D.W. Tufts, “Detection in Correlated plus Impulsive Noise”, IEEE Transactions on Aerospace and Electronic Systems, Vol. 28, No. 4, pp. 932-943, 1992.

    Google Scholar 

  15. Q. Shen, B.-X. Wu and A.K. Elhakeem, “The Linear Prediction Method of Fading Channel Estimation for the Rake Receiver with Impulsive Interference”, Wireless Personal Communications, Vol. 6, No. 3, pp. 233-248, 1998.

    Google Scholar 

  16. L. Kleinrock, Queueing Systems, Volume I: Theory, Wiley: New York, 1975.

    Google Scholar 

  17. M. Abramowitz and I.A. Stegun (eds.), Handbook of Mathematical Functions, 9th printing, Dover: New York, 1970.

    Google Scholar 

  18. I.S. Gradshteyn and I.M. Ryzhik, Table of Integrals, Series, and Products, 5th edition, Academic Press: San Diego, 1994.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Electrical Engineering, Indian Institute of Technology, Delhi, Hauz Khas, New Delhi, 110016, India

    Ranjan K. Mallik

  2. Department of Electronics and Communication Engineering, Indian Institute of Technology, Guwahati, North Guwahati, Guwahati, 781031, India

    Anup K. Gogoi & Anil Mahanta

  3. Berkeley Design Automation, 119 University Avenue, Palo Alto, CA, U.S.A.

    Raj Raghuram

Authors
  1. Ranjan K. Mallik
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Anup K. Gogoi
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Anil Mahanta
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. Raj Raghuram
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Mallik, R.K., Gogoi, A.K., Mahanta, A. et al. Analysis of Performance of BPSK in an Additive Combination of Impulsive and Gaussian Noise. Wireless Personal Communications 26, 1–15 (2003). https://doi.org/10.1023/A:1025349931506

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1023/A:1025349931506

Search

Navigation