Abstract
Previously reported results presented approximate expressions for the performance of cognitive radio systems through Nakagami fading and log-normal shadowing. In this article, exact expressions for the Receiver Operating Characteristics of cognitive radio system are derived analytically for a single stage and a double stage system. By single stage, it is assumed that the secondary users are close to the fusion centre therefore, they can be considered directly coupled to it. For the second stage system the secondary users are considered far from the fusion centre, thus another communication link is assumed between the secondary users and the fusion centre with similar characteristics as the first link. In both scenarios Nakagami fading and log-normal shadowing are assumed. Results for integer and non-integer Nakagami fading parameter ‘m’ are obtained. Depicted results show that better performance is obtained with the increase of the number of secondary users and increase of ‘m’. Deterioration due to shadowing is also indicated.
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Hussain, S., & Fernando, X. N. (2014). Closed-form analysis of relay-based cognitive radio networks over Nakagami-\(m\) fading channels. IEEE Transactions on Vehicular Technology, 63(3), 1193–1203.
Rasheed, H., & Rajatheva, N. (2011). Spectrum sensing for cognitive vehicular networks over composite fading. International Journal of Vehicular Technology, 2011, 1–9.
Atapattu, S., Tellambura, C., & Jiang, H. (2010). Representation of composite fading and shadowing distributions by using mixtures of Gamma distributions. In Wireless communications and networking conference (WCNC) IEEE proceedings.
Atawi, I. E., Badarneh, O. S., Aloqlah, M. S., & Mesleh, R. (2016). Spectrum-sensing in cognitive radio networks over composite multipath/shadowed fading channels. Computers & Electrical Engineering Journal, 52, 337–348.
Jiang, C., et al. (2016). On the outage probability of information sharing in cognitive vehicular networks. In Proceedings of IEEE International Conference on Communications (ICC 2016), Kuala Lampur, Malaysia (pp. 1–6).
Digham, F. F., Alouini, M. S., & Simon, M. K. (2007). On the energy detection of unknown signals over fading channels. IEEE Transactions on Communications, 55(1), 21–24.
Simon, M. K., & Alouini, M. S. (2005). Digital communication over fading channels (2nd ed.). New Jersey: Wiley.
Stüber, G. L. (2002). Principles of mobile communication (2nd ed.). Alphen aan den Rijn: Kluwer Academic.
Abramowitz, M., & Stegun, I. A. (1972). Handbook of mathematical functions with formulas, graphs and mathematical tables. (AMS55), Tenth printing.
El-Bahaie, E. H., & Al-Hussaini, E. K. (2010). Parallel decentralized network for the detection of unknown signals through wireless Nakagami fading channels. EURASIP Journal on Advances in Signal Processing, 2010, 1–10.
Niu, R., Chen, B., & Varshney, P. K. (2003). Decision fusion rules in wireless sensor networks using fading channel statistics. In Proceedings of the 37th annual conference on information sciences and systems (CISS ’03), Baltimore, MD, USA.
Chen, Y., & Beaulieu, N. C. (2009). A simple polynomial approximation to the Gaussian Q-function and its application. IEEE Communications Letters, 13(2), 124–126.
Al-Hussaini, E. K., & El-Far, Y. A. (1997). Decentralized nonparametric detectors. IEEE Signal Processing Letters, 4(5), 128–131.
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El-Bahaie, E.H., Al-Hussaini, E.K. Novel results for the performance of single and double stages cognitive radio systems through Nakagami-m fading and log-normal shadowing. Telecommun Syst 65, 729–737 (2017). https://doi.org/10.1007/s11235-016-0263-2
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DOI: https://doi.org/10.1007/s11235-016-0263-2