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Detection of Temporally Correlated Primary User Signal with Multiple Antennas

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Abstract

In this paper, we address the problem of multiple antenna spectrum sensing in cognitive radios (CRs) when the samples of the primary user (PU) signal as well as samples of noise are assumed to be temporally correlated. We model and formulate this multiple antenna spectrum sensing problem as a hypothesis testing problem. First, we derive the optimum Neyman-Pearson (NP) detector for the scenario in which the channel gains, the PU signal and noise correlation matrices are assumed to be known. Then, we derive the sub-optimum generalized likelihood ratio test (GLRT)-based detector for the case when the channel gains and aforementioned matrices are assumed to be unknown. Approximate analytical expressions for the false-alarm probabilities of the proposed detectors are given. Simulation results show that the proposed detectors outperform some recently-purposed algorithms for multiple antenna spectrum sensing.

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References

  1. Shen, L., Wang, H., Zhang, W., Zhao, Z.: Multiple antennas assisted blind spectrum sensing in cognitive radio channels. IEEE Commun. Lett. 16(1), 92–94 (2012)

    Article  Google Scholar 

  2. Axell, E., Larsson, E.: Optimal and sub-optimal spectrum sensing of OFDM signals in known and unknown noise variance. IEEE J. Sel. Areas Commun. 29(2), 290–304 (2011)

    Article  Google Scholar 

  3. Taherpour, A., Nasiri-Kenari, M., Gazor, S.: Multiple antenna spectrum sensing in cognitive radios. IEEE Trans. Wireless Commun. 9(2), 814–823 (2010)

    Article  Google Scholar 

  4. Sedighi, S., Taherpour, A., Monfared, S.S.: Bayesian generalised likelihood ratio test-based multiple antenna spectrum sensing for cognitive radios. IET Communications 7(18), 2151–2165 (2013)

    Article  Google Scholar 

  5. Lopez-Valcarce, J.S.R., Vazquez-Vilar, G.: Multiantenna spectrum sensing for cognitive radio: overcoming noise uncertainty, pp. 310–315 (2010)

    Google Scholar 

  6. Bianchi, P., Debbah, M., Maïda, M., Najim, J.: Performance of statistical tests for single-source detection using random matrix theory. IEEE Trans. Inf. Theory 57(4), 2400–2419 (2011)

    Article  MathSciNet  MATH  Google Scholar 

  7. Wang, P., Fang, J., Han, N., Li, H.: Multiantenna-assisted spectrum sensing for cognitive radio. IEEE Trans. Veh. Technol. 59(4), 1791–1800 (2010)

    Article  Google Scholar 

  8. Zhang, R., Lim, T., Liang, Y., Zeng, Y.: Multi-antenna based spectrum sensing for cognitive radios: A GLRT approach. IEEE Trans. Commun. 58(1), 84–88 (2010)

    Article  Google Scholar 

  9. Ramírez, D., Vazquez-Vilar, G., López-Valcarce, R., Vía, J., Santamaría, I.: Detection of rank-p signals in cognitive radio networks with uncalibrated multiple antennas. IEEE Trans. Signal Process. 59(8), 3764–3774 (2011)

    Article  MathSciNet  Google Scholar 

  10. Sedighi, S., Taherpour, A., Sala, J.: Spectrum sensing using correlated receiving multiple antennas in cognitive radios 12(11) (November 2013)

    Google Scholar 

  11. Huang, Y., Huang, X.: Detection of temporally correlated signals over multipath fading channels. IEEE Trans. Wireless Commun. 12(3), 1–10 (2013)

    Article  MathSciNet  Google Scholar 

  12. Tandra, R., Sahai, A.: SNR walls for signal detection. IEEE J. Sel. Topics Signal Process. 2(1), 4–17 (2008)

    Article  Google Scholar 

  13. Papoulis, A.: Probability, random variables and stochastic processes. McGraw-hill, New York (2002)

    MATH  Google Scholar 

  14. Kay, S.M.: Fundamentals of statistical signal processing, Volume II: Detection theory. Prentice Hall, Englewood Cliffs (1998)

    Google Scholar 

  15. Zeng, Y., Liang, Y.-C.: Maximum-minimum eigenvalue detection for cognitive radio, vol. 5, September 2007

    Google Scholar 

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Correspondence to Tamer Khattab .

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© 2015 Institute for Computer Science, Social Informatics and Telecommunications Engineering

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Hashemi, H., Fard, S.M., Taherpour, A., Sedighi, S., Khattab, T. (2015). Detection of Temporally Correlated Primary User Signal with Multiple Antennas. In: Weichold, M., Hamdi, M., Shakir, M., Abdallah, M., Karagiannidis, G., Ismail, M. (eds) Cognitive Radio Oriented Wireless Networks. CrownCom 2015. Lecture Notes of the Institute for Computer Sciences, Social Informatics and Telecommunications Engineering, vol 156. Springer, Cham. https://doi.org/10.1007/978-3-319-24540-9_6

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  • DOI: https://doi.org/10.1007/978-3-319-24540-9_6

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-24539-3

  • Online ISBN: 978-3-319-24540-9

  • eBook Packages: Computer ScienceComputer Science (R0)

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