This paper investigates exact performance of an amplify-and-forward (AF) relay system based on
water-filling power allocation in Nakagami-m fading environment, where m is a nonnegative integer plus one half.
We first offer the cumulative distribution function (CDF) and probability density function (PDF) of the received
signal-to-noise ratio (SNR) at a destination. Then outage probability, moments of SNR, higher-order statistics
of the capacity are explicitly conducted. Especially, average symbol error rate (SER) under an additive white
generalized Gaussian noise (AWGGN) is developed for water-filling power allocation scheme. While the average
SER subjected by an additive white Gaussian noise (AWGN) can be regarded as a special case. Finally, all
theoretical formulas are truly attested by various simulation results.
QIN Dong* (秦 东), WANG Yan (王 炎)
. Performance Analysis of AF Relaying Based on Water-filling Power Allocation over Nakagami-m Fading[J]. Journal of Shanghai Jiaotong University(Science), 2017
, 22(1)
: 107
-113
.
DOI: 10.1007/s12204-017-1808-6
[1] DUONG T Q, ZEPERNICK H J, BAO V N Q.Symbol error probability of hop-by-hop beamformingin Nakagami-m fading [J]. Electronics Letters, 2009,45(20): 1042-1044.
[2] DUONG T Q, ALEXANDROPOULOS G C, TSIFTSIST A, et al. Outage probability of MIMO AF relaynetworks over Nakagami-m fading channels [J]. ElectronicsLetters, 2010, 46(17): 1229-1231.
[3] ILHAN H, ALTUNBAS? I, UYSAL M. Momentgenerating function-based performance evaluation ofamplify-and-forward relaying in N* Nakagami fadingchannels [J]. IET Communications, 2011, 5(3): 253-263.
[4] SOLEIMANI-NASAB E, ARDEBILIPOUR M,KALANTARI A. Performance analysis of selectivecombining decode-and-forward relay networks overNakagami-n and Nakagami-q fading channels [J].Wireless Communications and Mobile Computing,2014, 14(16): 1564-1581.
[5] LEE Y, TSAI M H, SOU S I. Performance of decodeand-forward cooperative communications with multipledual-hop relays over Nakagami-m fading channels[J]. IEEE Transactions on Wireless Communications,2009, 8(6): 2853-2859.
[6] SOLEIMANI-NASAB E, KALANTARI A, ARDEBILIPOURM. Performance analysis of multi-antennaDF relay networks over Nakagami-m fading channels[J]. IEEE Communications Letters, 2011, 15(12):1372-1374.
[7] ELKASHLAN M, YEOH P L, YANG N, et al. A comparisonof two MIMO relaying protocols in Nakagamimfading [J]. IEEE Transactions on Vehicular Technology,2012, 61(3): 1416-1422.
[8] YANG J, FAN P, DUONG T Q, et al. Exact performanceof two-way AF relaying in Nakagami-m fadingenvironment [J]. IEEE Transactions on Wireless Communications,2011, 10(3): 980-987.
[9] GRADSHTEYN I S, RYZHIK I M. Table of integrals,series and products [M]. 7th ed. USA: Academic Press,2007.
[10] GOLDSMITH A. Wireless communications [M]. UK:Cambridge University Press, 2005.
[11] YILMAZ F, ALOUINI M S. On the computation ofthe higher-order statistics of the channel capacity overgeneralized fading channels [J]. IEEE Wireless CommunicationsLetters, 2012, 1(6): 573-576.
[12] SOURY H, YILMAZ F, ALOUINI M S. Average biterror probability of binary coherent signaling over generalizedfading channels subject to additive generalizedgaussian noise [J]. IEEE Communications Letters,2012, 16(6): 785-788.
[13] MATHAI A M, SAXENA R K. The H-function withapplications in statistics and other disciplines [M].USA: John Wiley & Sons, 1978.
[14] KILBAS A A, SAIGO M. H-transforms: Theory andapplications [M]. USA: CRC Press, 2004.
