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Energy Detection in Hoyt/Gamma Fading Channel with Micro-Diversity Reception

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Abstract

Spectrum sensing is the important function of cognitive radio and energy detection is the most popular technique used for spectrum sensing. Detection of the availability of unused spectrum for the secondary user becomes difficult when the channel is affected by composite multipath/shadowed fading. In this paper, the performance analysis of an Energy Detector in Hoyt/gamma composite fading channel with Maximum Ratio Combining employing micro-diversity is analyzed. Analytical expressions for performance parameters, i.e., the average probability of detection and the average area under the receiver operating characteristics curve are evaluate. The effect of diversity on the performance of energy detector is also studied. Monte-Carlo simulation results have verified the accuracy of the proposed analysis.

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References

  1. Bhargava, V. K., & Hossain, E. (2007). Cognitive wireless communication networks. New York: Springer.

    Google Scholar 

  2. Kostylev, V.I. (2002). Energy detection of a signal with random amplitude. In Proceedings of the IEEE international conference on communications (ICC), pp. 1606–1610.

  3. Digham, F.F., Alouini, M.S. & Simon, M.K. (2003). On the energy detection of unknown signals over fading channels. In Proceedings of the IEEE international conference communication (ICC), pp. 3575–3579.

  4. Digham, F. F., Alouini, M. S., & Simon, M. K. (2007). On the energy detection of unknown signals over fading channels. IEEE Transaction on Communication, 55, 21–24.

    Article  Google Scholar 

  5. Sofotasios, P. C., Rebeiz, E., Zhang, L., Tsiftsis, T. A., Cabric, D., & Freear, S. (2013). Energy detection based spectrum sensing over κ − μ and κ − μ extreme fading channels. IEEE Transaction on Vehicular Technology, 62(3), 1031–1040.

    Article  Google Scholar 

  6. Chandrasekaran, G., & Kalyani, S. (2015). Performance analysis of cooperative spectrum sensing over κ − μ shadowed fading. IEEE Wireless Communications Letters, 4(5), 553–556.

    Article  Google Scholar 

  7. Fathi, Y., & Tawfik, M. H. (2012). Versatile performance expression for energy detector over α − μ generalised fading channels. Electronics Letters, 48(17), 1081–1082.

    Article  Google Scholar 

  8. Atapattu, S., Tellambura, C., & Jiang, H. (2011). MGF based analysis of area under the ROC curve in energy detection. IEEE Communication Letters, 15(12), 1301–1303.

    Article  Google Scholar 

  9. Al-Hmood, H., & Al-Raweshidy, H. S. (2015). Performance analysis of energy detector over η − μ fading channel: PDF-based approach. Electronics Letters, 51(3), 249–251.

    Article  Google Scholar 

  10. Simon, M. K., & Alouini, M. S. (2004). Digital communication over fading channels (2nd ed.). New York: Wiley-IEEE Press.

    Book  Google Scholar 

  11. Reisi, N., Ahmadian, M., & Salari, S. (2010). Performance analysis of energy detection-based spectrum sensing over fading channels. In Proceedings of the IEEE international conference on wireless communications networking and mobile computing, pp. 1–4.

  12. Shankar, P. M. (2012). Fading and shadowing in wireless systems. New York: Springer.

    Book  MATH  Google Scholar 

  13. Atapattu, S., Tellambura, C., & Jiang, H. (2010). Performance of an energy detector over channels with both multipath fading and shadowing. IEEE Transaction on Wireless Communications, 9(12), 3662–3670.

    Article  Google Scholar 

  14. Al-Hmood, H., & Al-Raweshidy, H. S. (2016). Unified modeling of composite κ − μ/gamma, η − μ/gamma, and α − μ/gamma fading channels using a mixture gamma distribution with applications to energy detection. IEEE Antennas and Wireless Propagation Letters, 16, 104–108.

    Article  Google Scholar 

  15. Annamalai, A., & Olaluwe, A. (2014). Energy detection of unknown deterministic signals in κ − μ and η − μ generalized fading channels with diversity receivers’. In Proceedings of the international conference on computing, networking and communications (ICNC), pp. 761–765.

  16. Peppas, K. P., Efthymoglou, G., Aalo, V. A., Alwakeel, M., & Alwakeel, S. (2015). Energy detection of unknown signals in Gamma shadowed Rician fading environments with diversity reception. IET Communications, 9(2), 196–210.

    Article  Google Scholar 

  17. Kumar, S., Soni, S. K., & Jain, P. (2017). Micro-diversity analysis of error probability and channel capacity over Hoyt-Gamma fading. Radioengineering, 26(4), 1096–1103.

    Article  Google Scholar 

  18. Steen, N. M., Byrne, G. D., & Gelbard, E. M. (1969). Gaussian quadratures for the integrals \(\int\limits_{0}^{\infty } {\exp ( - x^{2} )f(x)dx}\) and \(\int\limits_{0}^{b} {\exp ( - x^{2} )f(x)dx}\). Mathematics of Computation, 23(107), 661–671.

    MathSciNet  MATH  Google Scholar 

  19. Abramowitz, M., & Stegun, I. A. (1965). Handbook of mathematical functions: With formulas, graphs, and mathematical tables. Mineola: Dover Publications.

    MATH  Google Scholar 

  20. Sun, H., Laurenson, D. I., & Wang, C. X. (2010). Computationally tractable model of energy detection performance over slow fading channels. IEEE Communication Letter, 10, 924–926.

    Article  Google Scholar 

  21. Urkowitz, H. (1967). Energy detection of unknown deterministic signals. Proceedings of the IEEE, 55, 523–531.

    Article  Google Scholar 

  22. Gradshteyn, I. S., & Ryzhik, I. M. (2000). Table of integrals, series, and products (6th ed.). New York: Academic Press.

    MATH  Google Scholar 

  23. Cui, G., Kong, L., Yang, X., & Ran, D. (2012). Two useful integrals involving generalised Marcum Q-function’. Electronic Letters, 48(16), 1017–1018.

    Article  Google Scholar 

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Acknowledgements

The authors would like to thank the anonymous reviewers for their useful suggestions for improving the presentation of the material in this paper.

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Correspondence to Sandeep Kumar.

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Kumar, S. Energy Detection in Hoyt/Gamma Fading Channel with Micro-Diversity Reception. Wireless Pers Commun 101, 723–734 (2018). https://doi.org/10.1007/s11277-018-5712-7

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