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Ergodic Capacity Performance for Cognitive Radio under Lognormal Shadowing from Secondary User Perspective

Mohammed Abdel-Hafez 1, Nedaa Al Hussien 1, Khaled Shuaib2, Farag Sallabi2,
1. Department of Electrical Engineering, College of Engineering, United Arab Emirates University, P.O. Box 15551, Al-Ain, UAE
2. College of Information Technology, United Arab Emirates University, P.O. Box 15551, Al-Ain, UAE
Abstract—In a cognitive radio network, spectrum sensing is the first and most vital function. It identifies spectrum opportunities that can be utilized by secondary users to enhance spectrum utilization and ergodic capacity. However, sensing performance is very tormented by channel fading and shadowing. This paper addresses the performance of ergodic capacity in cognitive radio networks under a Lognormal shadowing environment. We derived a new mathematical model for the secondary user network ergodic capacity when both accessing and sensing channels undergo Lognormal shadowing. Moreover, we developed exact analytical expressions for the capacity followed by numerical evaluation under different channel sensing and accessing conditions. Finally, the paper explored the effects of detection and accessing channels’ parameters on the capacity.


Index Terms—Spectrum sensing; opportunistic access; cognitive radio; lognormal shadowing; ergodic capacity.

Cite: Mohammed Abdel-Hafez, Nedaa Al Hussien, Khaled Shuaib, and Farag Sallabi, "Ergodic Capacity Performance for Cognitive Radio under Lognormal Shadowing from Secondary User Perspective," Journal of Communications, vol. 13, no. 10, pp. 546-552, 2018. Doi: 10.12720/jcm.13.10.546-552.
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