Outage Probability Analysis of Cooperative Diversity Networks Over Weibull and WeibullLognormal Channels
 Abdelrahman H. Gaber,
 Mahmoud H. Ismail,
 HebatAllah M. Mourad
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This paper presents the analysis of outage probability for a cooperative diversity wireless network using amplifyandforward relays over independent nonidentical distributed Weibull and Weibulllognormal fading channels for single as well as multiple relays. To reach that end, a closedfrom expression for the momentgenerating function of the total signaltonoiseratio (SNR) at the destination is derived in terms of the tabulated Meijer’s Gfunction. Since it is hard to determine the exact probability distribution function of the SNR, a tight lower bound approximation is proposed. Simulation results are presented that show that the outage probability lower bound tends to be tight at high SNR values thus verifying the analytical results. The results also show the potential gain of relaying on the outage probability.
 Laneman, J. N., Tse, D. N. C., Wornell, G. W. (2004) Cooperative diversity in wireless networks efficient protocols and outage behaviour. IEEE Transactions on Information Theory 50: pp. 30623080 CrossRef
 Laneman, J. N., & Wornell, G. (2000). Energyefficient antenna sharing and relaying for wireless networks. In Proceedings of wireless communications and networking conference (Vol. 1, pp. 3062–3080).
 Laneman, J. N., & Wornell, G. (2002). Distributed spacetime coded protocols for exploiting cooperative diversity in wireless networks. In Proceedings of global telecommunication conference (Vol. 1, pp. 77–81).
 Mark, J. W., Zhuang, W. (2003) Wireless communications and networking. PrenticeHall, Upper Saddle River, NJ
 Jiang, H., Zhuang, W., Shen, X., Bi, Q. (2006) Qualityofservice provisioning and efficient resource utilization in CDMA cellular communications. IEEE Journal on Selected Areas in Communications 24: pp. 415 CrossRef
 Patel, C., Stuber, G., Pratt, T. (2006) Statistical properties of amplify and forward relay fading channels. IEEE Transactions on Vehicular Technology 55: pp. 19 CrossRef
 Kwasinski, A., Liu, K. (2008) Sourcechannelcooperation tradeoffs for adaptive coded communications. IEEE Transactions on Wireless Communications 7: pp. 33473358 CrossRef
 Karagiannidis, G. K. (2006) Performance bounds of multihop wireless communications with blind relays over generalized fading channels. IEEE Transactions on Wireless Communications 5: pp. 498503
 Karagiannidis, G. K. (2004) Momentsbased approach to the performance analysis of equalgain diversity in Nakagamim fading. IEEE Transactions on Communications 52: pp. 685690 CrossRef
 Hasna, M. O., Alouini, M.S. (2003) Endtoend performance of transmission systems with relays over Rayleighfading channels. IEEE Transactions on Wirless Communications 2: pp. 11261131 CrossRef
 Hasna, M. O., Alouini, M.S. (2003) Outage probability of multihop transmission over Nakagami fading channels. IEEE Communications Letters 7: pp. 216218 CrossRef
 Boyer, J. (2001). Multihopwireless communications channels. M.Sc. thesis, Carleton University, Ottawa, ON, Canada.
 Ding, H., Ge, J., Costa, D. B., Guo, Y. (2011) Outage analysis for multiuser twoway relaying in mixed Rayleigh and Rician fading. IEEE Communications Letters 15: pp. 410412 CrossRef
 Gao, Y., Ge, J., Han, C. (2011) Performance analysis of differential modulation and relay selection with detectandforward cooperative relaying. IEEE Communications Letters 15: pp. 323325 CrossRef
 Chu, S.I. (2011) Performance of amplifyandforward cooperative communications with the Nth bestrelay selection scheme over Nakagamim fading channels. IEEE Communications Letters 15: pp. 172174 CrossRef
 Sagias, N. C., Karagiannidis, G. K. (2005) Gaussian class multivariate Weibull distributions: Theory and applications in fading channels. IEEE Transactions on Information Theory 51: pp. 36083619 CrossRef
 Alouini, M. S., & Simon, M. K. (2001). Performance of generalized selection combining over Weibull fading channels. In Proceedings of IEEE vehicuar technology conference, Atlantic City, NJ (pp. 1735–1739).
 Sagias, N. C., Zogas, D. A., Karagiannidis, G. K., Tombras, G. S. (2003) Performance analysis of switched diversity receivers in Weibull fading. Electronics Letters 39: pp. 14721474 CrossRef
 Sagias, N. C., Mathiopoulos, P. T., Tombras, G. S. (2003) Selection diversity receivers signaltonoise ratio. Electronics Letters 39: pp. 18591860 CrossRef
 Ikki, S. S., & Ahmed, M. H. (2009). Performance analysis of dual hop relaying over nonidentical Weibull fading channels. IEEE 69th Vehicular Technology Conference, 2009. VTC Spring 2009. 26–29 April 2009, 1–5.
 Ribeiro, A., Cai, X., & Giannakis, G. B. (2005). Symbol error probabilities for general cooperative links. IEEE Transactions on Wireless Communications, 4(3), 1264–1273.
 Ikki, S., Ahmed, M. H. (2007) Performance analysis of cooperative diversity wireless networks over Nakagamim fading channel. IEEE Communications Letters 11: pp. 334336 CrossRef
 Laneman, J. N. (2002). Cooperative diversity in wireless networks: Algorithms and architectures. Ph.D. dissertation, Mass. Inst. Technol., Cambridge, MA.
 Sendonaris, A., Erkip, E., Aazhang, B. (2003) User cooperation diversity—part I: System description. IEEE Transactions on Communications 51: pp. 19271938 CrossRef
 Karagiannidis, G. K., Tsiftsis, T. A., Mallik, R. K. (2006) Bounds of multihop relayed communications in Nakagamim fading. IEEE Transactions on Communications 54: pp. 1822 CrossRef
 Hasna, M. O., & Alouini, M.S. (2004). Harmonic mean and endtoend performance of transmission systems with relays. IEEE Transactions on Communications 52(1), 130–135.
 Tsiftsis, T. A., Karagiannidis, G. K., Kotsopoulos, S. A., & Pavlidou, F.N. (2004). BER analysis of collaborative dualhop wireless transmissions. IEE Electronics Letters, 40(11), 679–681.
 Simon, M. K., Alouini, M.S. (2005) Digital communication over fading channels. Wiley, New York
 Bletsas, A., Khisti, A., Reed, D. P., & Lippman, A. (2006). A simple cooperative diversity method based on network path selection. IEEE Journal on Selected Areas in Communications, 24(3), 659–672.
 Wang, T., Cano, A., Giannakis, G. B., & Laneman, N. (2007). Highperformance cooperative demodulation with decodeandforward relays. IEEE Transactions on Communications (accepted for publication).
 Cheng, J., Tellambura, C., Beaulieu, N. C. (2004) Performance of digital linear modulations on Weibull slowfading channels. IEEE Transactions on Communications 52: pp. 12651268 CrossRef
 Gradshteyn, I. S., Ryzhik, I. M. (2007) Table of integrals, series and products. Academic Press, San Diego
 Abate, J., & Whitt, W. (1995). Numerical inversion of Laplace transform of probability distribution. ORSA Journal on Computing, 7(1), 36–43.
 Ko, Y.C., Alouini, M.S., & Simon, M. K. (2000). Outage probability of diversity systems over generalized fading channels. IEEE Transactions on Communications, 48(11), 1783–1787.
 Adamchik, V. S., & Marichev, O. I. (1990). The algorithm for calculating integrals of hypergeometric type functions and its realization in REDUCE system. In Proceedings of international conference on symbolic and algebraic computing, Tokyo, Japan (pp. 212–224).
 Title
 Outage Probability Analysis of Cooperative Diversity Networks Over Weibull and WeibullLognormal Channels
 Journal

Wireless Personal Communications
Volume 70, Issue 2 , pp 695708
 Cover Date
 20130501
 DOI
 10.1007/s1127701207152
 Print ISSN
 09296212
 Online ISSN
 1572834X
 Publisher
 Springer US
 Additional Links
 Topics
 Keywords

 Outage probability
 Cooperative diversity
 Amplifyandforward
 Weibull fading
 Weibulllognormal fading
 Industry Sectors
 Authors

 Abdelrahman H. Gaber ^{(1)}
 Mahmoud H. Ismail ^{(1)}
 HebatAllah M. Mourad ^{(1)}
 Author Affiliations

 1. Department of Electronics and Communications Engineering, Faculty of Engineering, Cairo University, Giza, 12613, Egypt