Abstract
In this chapter, the detection accuracy of an AF relay-based CSS approach over non-identical Nakagami-m fading channel is investigated. New exact and approximated closed-form expressions are derived for the average detection probability and the average false alarm probability over two diversity combining techniques: MRC scheme and SC scheme. The convergence rate of infinite series that appears in the derived exact closed-form expressions are also investigated and proposed a powerful acceleration algorithm that allows for the series termination with a finite number of terms.
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Notes
- 1.
m=1 is a special case of Nakagami-m fading referred to be as a Rayleigh fading
References
V.A. Aalo, Performance of maximal-ratio diversity systems in a correlated Nakagami-fading environment. IEEE Trans. Commun. 43(8), 2360–2369 (1995)
T. Rappaport, Wireless Communications: Principles and Practice, 2nd edn. (Prentice-Hall, Upper Saddle River, 2002)
S. Atapattu, C. Tellambura, H. Jiang, Performance of an energy detector over channels with both multipath fading and shadowing. IEEE Trans. Wirel. Commun. 9(12), 3662–3670 (2010)
M.K. Simon, M.-S. Alouini, Digital Communication over Fading Channels (Wiley, New York, 2005)
M.S. Alouini, A.J. Goldsmith, A unified approach for calculating the error rates of linearly modulated signals over generalized fading channels, in Proceedings of IEEE International Conference on Communications (ICC’98), June 1998, pp. 1324–1334
S.M. Mishra, A. Sahai, R.W. Brodersen, Cooperative sensing among cognitive radios, in Proceedings IEEE International Conference on Communications, (ICC’06), Istanbul, June 2006, pp. 1658–1663
M. Nakagami, The m-Distribution: A General Formula of Intensity Distribution of Rapid Fading. Statistical Methods in Radio Wave Propagation (Pergamon, New York, 1960)
M. Abdel-Hafez, M. Safak, Performance analysis of digital cellular systems in Nakagami fading and correlated shadowing environmental. IEEE Trans. Veh. Tech. 48(5), 1381–1391 (1999)
R. Kwan, C. Leung, General order selection combining for Nakagami and Weibull fading channels. IEEE Trans. Wirel. Commun. 6(6), 2027–2033 (2007)
G.K. Karagiannidis, N.C. Sagias, T.A. Tsiftsis, Closed-form statistics for the sum of squared Nakagami-m variates and its applications. IEEE Trans. Commun. 54(8), 1353–1359 (2004)
M.-S. Alouni, A. Abdi, M. Kaveh, Sum of gamma variates and performance of wireless communication systems over Nakagami-fading channels. IEEE Trans. Veh. Tech. 50(6), 1471–1480 (2001)
Q.T. Zhang, Maximal-ratio combining over Nakagami fading channels with an arbitrary ranch covariance matrix. IEEE Trans. Veh. Tech. 48(4), 1141–1150 (1999)
H. Suzuki, A statistical model for the urban radio propagation. IEEE Trans. Commun. 25, 673–680 (1997)
E.K. Al-Hussaini, A.A.M. Al-Bassiouni, Performance of MRC diversity systems for the detection of signals with Nakagami fading. IEEE Trans. Commun. 33(12), 1315–1319 (1985)
X. Qin, R.A. Berry, Distributed approaches for exploiting multiuser diversity in wireless networks. IEEE Trans. Commun. 52(2), 392–413 (2006)
G. Ganesan, G. Li, Cooperative spectrum sensing in cognitive radio, part I: two user networks. IEEE Trans. Wirel. Commun. 6(6), 2204–2213 (2007)
H. Yomo, E. De Carvalho, A CSI estimation method for wireless relay network. IEEE Trans. Commun. 11(6), 480–482 (2007)
S. Hussain, X. Fernando, Closed-form analysis of relay-based cognitive radio networks over Nakagami-m fading channels. IEEE Trans. Veh. Tech. 63(3), 1193–1203 (2014)
I.S. Gradshteyn, I.M. Ryzhik, Table of Integrals, Series and Products, 6th edn. (Academic, London, 2000)
M. Abramowitz, I.A. Stegun, Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables, 9th edn. (Dover, New York, 1972)
G. Ganesan, G. Li, Cooperative spectrum sensing in cognitive radio, part II: multiuser networks. IEEE Trans. Wirel. Commun. 6(6), 2214–2211 (2007)
W.-Y. Lee, I.F. Akyildiz, Optimal spectrum sensing framework for cognitive radio networks. IEEE Trans. Wirel. Commun. 7(10), 3845–3857 (2008)
C. Stevenson, G. Chouinard, Z. Lei, W. Hu, S. Shellhammer, W. Caldwell, IEEE 802.22: the first cognitive radio wireless regional area network standard. IEEE Commun. Mag. 47(1), 130–138 (2009)
J.N. Laneman, G.W. Wornell, Energy efficient antenna sharing and relaying for wireless networks, in Proceedings of IEEE International Conference on Wireless Communications and Networking (WCNC’00), Chicago (2000)
D.S. Michalopoulos, G.K. Karagiannidis, Performance analysis of single relay selection in Rayleigh fading. IEEE Trans. Wirel. Commun. 7(10), 3718–3724 (2008)
T. Sauter, Computation of irregularly oscillating integrals. Appl. Numer. Math. 35(3), 245–264 (2000)
P. Wynn, Acceleration techniques in numerical analysis, with particular reference to problems in one independent variable. Stichting Mathematisch Centrum. Rekenafdeling (1962), pp. 149–156
K. Ben Letaief, W. Zhang, Cooperative communications for cognitive radio networks, in Proceedings of the IEEE, May 2009, pp. 878–893
Z. Quan, S. Cui, A.H. Sayed, Optimal linear cooperation for spectrum sensing in cognitive radio networks. IEEE J. Sel. Top. Signal Process. 2(1), 28–40 (2008)
E. Peh, Y.-C. Liang, Optimization for cooperative sensing in cognitive radio networks, in Proceedings of IEEE International Conference on Wireless Communications and Networking (WCNC’7), Kowloon, March 2007, pp. 27–32
Y.-C. Liang, Y. Zeng, E.C.Y. Peh, A.T. Hoang, Sensing-throughput tradeoff for cognitive radio networks. IEEE Trans. Wirel. Commun. 7(4), 1325–1337 (2008)
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Fernando, X., Sultana, A., Hussain, S., Zhao, L. (2019). Relay-Based Cooperative Spectrum Sensing. In: Cooperative Spectrum Sensing and Resource Allocation Strategies in Cognitive Radio Networks. SpringerBriefs in Electrical and Computer Engineering. Springer, Cham. https://doi.org/10.1007/978-3-319-73957-1_2
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