Exact Ergodic Capacity Analysis for Cognitive Underlay Amplify-and-Forward Relay Networks over Rayleigh Fading Channels
In this paper, we propose a novel derivation approach to obtain the exact closed form expression of ergodic capacity for cognitive underlay amplify-and-forward (AF) relay networks over Rayleigh fading channels. Simulation results are performed to verify the analysis results. Numerical results are provided to compare the system performance of cognitive underlay amplify-and-forward relay networks under both cases of AF and decode-and-forward (DF) confirming that the system with DF provides better performance as compared with that with AF.
I. Mitola, J. and J. Maguire, G. Q., “Cognitive radio: making software radios more personal,” IEEE Personal Communications, vol. 6, no. 4, pp. 13–18, 1999.
C. Cordeiro, K. Challapali, D. Birru, and N. Sai Shankar, “IEEE 802.22: the first worldwide wireless standard based on cognitive radios,” in Proceedings of the First IEEE International Symposium on New Frontiers in Dynamic Spectrum Access Networks (DySPAN 2005), 2005, pp. 328–337.
H. Jun-pyo, H. Bi, B. Tae Won, and C. Wan, “On the cooperative diversity gain in underlay cognitive radio systems,” IEEE Transactions on Communications, vol. 60, no. 1, pp. 209–219, 2012.
T. Q. Duong, V. N. Q. Bao, and H.-J. Zepernick, “Exact outage probability of cognitive af relaying with underlay spectrum sharing,” Electronics letters, vol. 47, no. 17, pp. 1001–1002, 2011.
V. N. Q. Bao and D. Q. Trung, “Exact outage probability of cognitive underlay df relay networks with best relay selection,” IEICE Transactions on communications, 2012.
V. N. Q. Bao, T. Duong, and C. Tellambura, “On the performance of cognitive underlay multihop networks with imperfect channel state information,” IEEE Transactions on Communications, vol. PP, no. 99, pp. 1–10, 2013.
N. H. Giang, V. N. Q. Bao, and H. Nguyen-Le, “Effect of CSI imperfection on cognitive underlay transmission over nakagami-m fading channel,” Journal of Science and Technology:
Issue on Information and Communications Technology, vol. 1, pp. 59–66, 2015.
S. Peng, X. Yang, S. Shu, and X. Cao, “Partial relaybased cooperative primary user detection in cognitive radio networks,” EURASIP Journal on Wireless Communications and Networking, vol. 2017, no. 1, p. 94, 2017.
Y. Huang, Z. Li, R. Zhu, Y. Wang, and X. Chen, “Performance of selective cooperation for underlay cognitive radio with multiple primary transmitters and receivers,” IET Communications, vol. 11, no. 9, pp. 1527–1534, 2017.
M. Hanif, H. C. Yang, and M. S. Alouini, “Transmit antenna selection for power adaptive underlay cognitive radio with instantaneous interference constraint,” IEEE Transactions on Communications, 2017.
C. Xu, M. Zheng, W. Liang, H. Yu, and Y. C. Liang, “Outage performance of underlay multihop cognitive relay networks with energy harvesting,” IEEE Communications Letters, vol. 20, no. 6, pp. 1148–1151, 2016.
M. O. Hasna and M. S. Alouini, “Harmonic mean and end-to-end performance of transmission systems with relays,” IEEE Transactions on Communications, vol. 52, no. 1, pp.130–135, 2004.
M. Hata, “Rational approximations to the dilogarithm,” Transactions of the American Mathematical Society, vol. 336, no. 1, pp. 363–387, 1993.
M. Hassani, “Approximation of the dilogarithm function,” J. Inequalities in Pure and Applied Mathematics, vol. 8, pp. 1–7, 2007.
B. Tae Won, C. Wan, J. Bang Chul, and S. Dan Keun, “Multi-user diversity in a spectrum sharing system,” IEEE Transactions on Wireless Communications, vol. 8, no. 1, pp. 102–106, 2009.
G. L. Stber, Principles of mobile communication, 2nd ed. Boston: Kluwer Academic, 2001.
J. N. Laneman, D. N. C. Tse, and G. W. Wornell, “Cooperative diversity in wireless networks: Efficient protocols and outage behavior,” IEEE Transactions on Information theory, vol. 50, no. 12, pp. 3062–3080, 2004.
I. S. Gradshteyn, I. M. Ryzhik, A. Jeffrey, and D. Zwillinger, Table of integrals, series and products, 7th ed. Amsterdam; Boston: Elsevier, 2007.
V. N. Q. Bao and D. H. Bac, “A unified framework for performance analysis of df cognitive relay networks under interference constraints,” in Proceedings of the International Conference on ICT Convergence, 2011, pp. 537 – 542.
M. K. Simon and M.-S. Alouini, “A unified approach to the performance analysis of digital communication over generalized fading channels,” Proceedings of the IEEE, vol. 86, no. 9, pp. 1860–1877, 1998.
M. Abramowitz and I. A. Stegun, Handbook of mathematical functions with formulas, graphs, and mathematical tables, 10th ed. Washington: U.S. Govt. Print. Off., 1972.
T. Wang, R. Wang, and G. B. Giannakis, “Smart regenerative relays for link-adaptive cooperative communications,” in Proceedings of the 40th Annual Conference on Information Sciences and Systems, 2006, pp. 1038–1043.