Relay based communication has gained considerable importance in the recent years. In this paper we find the end-toend statistics of a two hop non-regenerative relay branch, each hop being Nakagami-m faded. Closed form expressions for the probability density functions of the signal envelope at the output of a selection combiner and a maximal ratio combiner at the destination node are also derived and analytical formulations are verified through computer simulation. These density functions are useful in evaluating the system performance in terms of bit error rate and outage probability.<\/p>\r\n","references":"[1] A. Sendonaris, E. Erkip, and B. Aazhang, \"User cooperation diversitypart-\r\nI: system description,\" IEEE Transactions on Communications, vol.\r\n51, no. 11, November 2003.\r\n[2] A. Sendonaris, E. Erkip, and B. Aazhang, \"User cooperation diversitypart-\r\nII: implementation aspects and performance analysis,\" IEEE Transactions\r\non Communications, vol. 51, no. 11, November 2003.\r\n[3] C. S. Patel, G. L. Stuber, T. G. Pratt, \"Statistical properties of amplify\r\nand forward relay fading channels,\" IEEE Transactions on Vehicular\r\nTechnology, vol. 55, no. 1, January 2006.\r\n[4] M. Nakagami, \"The m-distribution-a general formula of intensity distribution\r\nof rapid fading,\" in Statistical Methods in Radio WavePropagation.\r\nOxford, U.K.: Pergamon, 1960, pp. 3-36.\r\n[5] G.K. Karagiannidis, N.C. Sagias, and P.T. Mathiopoulos, \"The N* nakagami\r\nfading channel model,\" 2nd International Symposium on Wireless\r\nCommunication Systems,September 2005.\r\n[6] I.S.Gradshteyn and I.M.Ryzhik, Tables of Integrals,Series, and Products,\r\n5thed., San Diego, CA: Academic, 1994.\r\n[7] B. S. Paul and R. Bhattacharjee, \"Selection combining of two amplifyforward\r\nrelay branches with individual links experiencing Nakagami\r\nfading,\" 2007 Asia Pacific Conference on Communication, Oct. 2007.\r\n[8] N. C. Beaulieu, \"Efficient nakagami-m fading channel simulation,\" IEEE\r\nTransactions on Vehicular Technology, vol. 54, no. 2, March 2005.\r\n[9] W. C. Jakes, Microwave Mobile Communications , IEEE Press, 1974.\r\n[10] V. K. Rohatgi and A. K. Md. Ehsanes Saleh, An Introduction to\r\nProbability and Statistics. John Wiley & Sons, INC.\r\n[11] B. S. Paul and R. Bhattacharjee, \"Maximal ratio combining of two\r\namplify-forward relay branches with individual links experiencing Nakagami\r\nfading,\" IEEE TENCON, Oct.-Nov. 2007.\r\n[12] W. H. Tranter, K. S. Shanmugan, T. S. Rappaport and K. L. Kosbar,\r\nPrinciples of Communication Systems Simulation with Wireless Applications,\r\nPrentice Hall, Upper Saddle River, New Jersey.","publisher":"World Academy of Science, Engineering and Technology","index":"Open Science Index 24, 2008"}