End-to-end statistics of dual-hop amplify-and-forward relaying in Nakagami-m fading with non-integer fading parameters

Authors:
Haiyang Ding;Jianhua Ge;Zhuoqin Jiang
Affiliations:
State Key Lab of Integrated Services Networks, Xidian University, Xi'an, China and Xi'an Communication Institute, Xi'an, China;State Key Lab of Integrated Services Networks, Xidian University, Xi'an, China;Xi'an Communication Institute, Xi'an, China
Venue:
ISWPC'10 Proceedings of the 5th IEEE international conference on Wireless pervasive computing
Year:
2010

Citing 2
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Error probability of digital communications using relay diversity over Nakagami-m fading channels

IEEE Transactions on Wireless Communications - Part 2

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Abstract

Firstly, we prove that the probability density function (PDF) of the end-to-end signal-to-noise ratio (SNR) for dual-hop amplify-and-forward (AF) relaying in Nakagami-m fading with non-integer fading parameters given by [1, Theorem 1] diverges near origin for any parameters, which is in contradiction with simulations. Secondly, the reason for the divergence is clarified. Thirdly, closed-form lower and upper bounds of the PDF are derived and used to determine the goodness of fit of certain specified approximate PDF. Finally, based on the bounds, a new approximate PDF is proposed and its accuracy is compared with the former one by numerical examples.