On the Ergodic Capacity in Multicarrier Cognitive Radio Systems under Power Constraints

Hassan Kallam (1, 2, 3) , Hiba Bawab (1, 4) , Oussama Bazzi (1) , Youssef Nasser (5) , Jean-François Hélard (4)

1 LU - Lebanese University [Beirut]
2 CITI - CITI Centre of Innovation in Telecommunications and Integration of services
3 SOCRATE - Software and Cognitive radio for telecommunications
4 IETR - Institut d'Électronique et des Technologies du numéRique
5 AUB - American University of Beirut [Beyrouth]

This paper presents an analytical solution for the ergodic capacity of a cognitive radio (CR) link sharing with a primary link the same spectrum in the multicarrier transmission mode. The spectrum sharing (SS) mode of operation for the CR link is considered. Assuming Rayleigh fading channels, the ergodic capacity of the CR link is derived analytically under two joint average power constraints an average interference power (AIP) limit at the primary receiver and an average transmit power (ATP) limit at the CR transmitter. The analytical results of the maximal ergodic capacity of the CR link are derived based on an optimal water-filling power allocation in the CR transmitter. These results are validated with numerical simulations. They are also compared, in the single-carrier mode, with previous results obtained with a peak transmit power (PTP) constraint at the CR transmitter.

Keywords: cognitive radio; ergodic capacity; multicarrier transmission; power allocation; spectrum sharing

Domains: Computer Science [cs]; Networking and Internet Architecture [cs.NI]; Engineering Sciences [physics]; Electronics

Hassan Kallam, Hiba Bawab, Oussama Bazzi, Youssef Nasser, Jean-François Hélard. On the Ergodic Capacity in Multicarrier Cognitive Radio Systems under Power Constraints. ICUMT 2017 - 9th International Congress on Ultra Modern Telecommunications and Control Systems, Nov 2017, Munich, Germany. pp.329-333, ⟨10.1109/ICUMT.2017.8255176⟩. ⟨hal-01770207⟩