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Cumulant Analysis of Dual Sequential Ratio Testing for Cognitive Radio Spectrum Sensing

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Abstract

In this paper we present a novel methodology to evaluate the cumulants of the sample random distribution in Sequential Analysis. By means of this we present a modification to the Dual Sequential Ratio Test algorithm used for primary user detection in cognitive radio networks. In the considered scenario, the secondary users utilize the sequential ratio test to sense the wireless channel looking for the presence of a transmitting primary user. A Fusion Centre (FC) gathers the decisions from the secondary users in order to perform a sequential ratio test and achieve a final verdict. The instance when the FC starts collecting the decisions is optimized in such way that the total time to make a decision is minimized. This allows for a better energy usage from the secondary users along with a reliable and fast detection of the primary user. Some numerical examples are considered in order to validate our results.

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References

  1. Haykin, S. (2005). Cognitive radio: brain-empowered wireless communications. IEEE Journal on Selected Areas in Communications, 23(2), 201–220.

    Article  Google Scholar 

  2. Zeng, Y., Liang, Y.-C., Hoang, A. T., & Zhang, R. (2010). A review on spectrum sensing for cognitive radio: Challenges and solutions. EURASIP Journal on Advances in Signal Processing ID 381465.

  3. Liang, Y.-C., Zeng, Y., Peh, E., & Hoang, A. T. (2008). Sensing-throughput tradeoff for cognitive radio networks. IEEE Transactions on Wireless Communications, 7(4), 1326–1337.

    Article  Google Scholar 

  4. Wei, J., & Zhang, X. (2010). Energy-efficient distributed spectrum sensing for wireless cognitive radio networks. In INFOCOM IEEE conference on computer communications workshops (pp. 1–6). March 2010.

  5. Maleki, S., Pandharipande, A., & Leus, G. (2011). Energy-efficient distributed spectrum sensing for cognitive sensor networks. IEEE on Sensors Journal, 11(3), 565–573.

    Article  Google Scholar 

  6. Zhao, Q., & Ye, J. (2008). When to quit for a new job: Quickest detection of spectrum opportunities in multiple channels. In Military communications conference, MILCOM 2008. IEEE (pp. 1–6). Nov. 2008.

  7. Noh, G., Wang, H., Jo, J., Kim, B.-H., & Hong, D. (2011). Reporting order control for fast primary detection in cooperative spectrum sensing. IEEE Transactions on Vehicular Technology, 60(8), 4058–4063.

    Google Scholar 

  8. Filio, O., Primak, S., & Kontorovich, V. (2011). On performance of the wald test in partially coherent cognitive radio channels. In Communications and information technology (ICCIT), 2011 International Conference on (pp. 214–217), March 2011.

  9. Wald, A. (2004). Sequential analysis (6th ed.). Mineola, NY: Dover Phoenix.

    Google Scholar 

  10. Jithin, J. K., & Sharma, V. (2011). A novel algorithm for cooperative distributed sequential spectrum sensing in cognitive radio. In WCNC’11 (pp. 1–5), March 2011.

  11. Li, H., Dai, H., & Li, C. (2010). Collaborative quickest spectrum sensing via random broadcast in cognitive radiosystems. IEEE Transactions on Wireless Communications, 9(7), 2338–2348.

    Article  Google Scholar 

  12. van Trees, H. (2001). Detection, estimation, and modulation theory: Part I (1st ed.). New York: Wiley.

    Book  Google Scholar 

  13. Middleton, D. (1960). Introduction to statistical communications theory (1st ed.). New York: McGraw-Hill.

    Google Scholar 

  14. Papoulis, A. (1991). Probability, random variables, and stochastic processes (3rd ed.). Boston, MA: McGraw-Hill.

    Google Scholar 

  15. Guerriero, M., Pozdnyakov, V., Glaz, J., & Willett, P. (2010). A repeated significance test with applications to sequential detection in sensor networks. IEEE Transactions on Signal Processing, 58(7), 3426–3435.

    Article  MathSciNet  Google Scholar 

  16. Filio, O., Primak, S., & Kontorovich, V. (2011). Recent advances in wireless communications and networks. In Lin, J.-C. (Ed.) InTech.

  17. Primak, S., Kontorovich, V., & Lyandres, V. (2004). Stochastic methods and their applications to Communications: SDE Approach. Chichester: Wiley.

    Book  Google Scholar 

  18. Abramowitz, M., & Stegun, I. (Eds.). (1965). Handbook of mathematical functions. New York: Dover.

    Google Scholar 

  19. Zou, Q., Zheng, S., & Sayed, A. (2010). Cooperative sensing via sequential detection. IEEE Transactions on Signal Processing, 58(12), 6266–6283.

    Article  MathSciNet  Google Scholar 

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Authors and Affiliations

  1. Bell Centre for Information Engineering (BCIE), Department of Electrical and Computer Engineering, The University of Western Ontario, London, ON, N6A 5B9, Canada

    Oscar Filio-Rodríguez & Serguei Primak

  2. Electrical Engineering Department, Telecommunications Section CINVESTAV-IPN Av. IPN 2508, Col. San Pedro Zacatenco, C.P. 07360, Mexico City, Mexico

    Valeri Kontorovich

Authors
  1. Oscar Filio-Rodríguez
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  2. Serguei Primak
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  3. Valeri Kontorovich
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Correspondence to Oscar Filio-Rodríguez.

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Filio-Rodríguez, O., Primak, S. & Kontorovich, V. Cumulant Analysis of Dual Sequential Ratio Testing for Cognitive Radio Spectrum Sensing. Wireless Pers Commun 75, 2355–2370 (2014). https://doi.org/10.1007/s11277-013-1470-8

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  • DOI: https://doi.org/10.1007/s11277-013-1470-8

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