S. Qian, X. Zhou, X. He, J. He, M. Juntti and T. Matsumoto, "Performance Analysis for Lossy-Forward Relaying Over Nakagami- $m$ Fading Channels," in IEEE Transactions on Vehicular Technology, vol. 66, no. 11, pp. 10035-10043, Nov. 2017. doi: 10.1109/TVT.2017.2743498

### Performance analysis for lossy-forward relaying over Nakagami-m fading channels

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Author: Qian, Shen1,2; Zhou, Xiaobo3; He, Xin4;
Organizations: 1School of Information Science, Japan Advanced Institute of Science and Technology, Ishikawa, Japan 923-1292, Japan
2Centre for Wireless Communication, University of Oulu, Oulu FI-90014 Finland
3School of Computer Science and Technology, Tianjin University, Tianjin 300072, China
4School of Mathematics and Computer Science, Anhui Normal University, Anhui 241002, China
Format: article
Version: accepted version
Access: open
Online Access: PDF Full Text (PDF, 0.7 MB)
Language: English
Published: Institute of Electrical and Electronics Engineers, 2017
Publish Date: 2018-06-29
Description:

# Abstract

We investigate the performance of three-node lossy-forward (LF) relaying over independent block Nakagami-m fading channels. Based on the theorem of source coding with side information, the exact outage probability expression for arbitrary values of the shape factor m is derived under the assumptions of both the Gaussian codebook capacity and the constellation constrained capacity. The difference in outage probability between the two codebook models of capacity is found to be very minor. Furthermore, an accurate high signal-to-noise ratio approximation for the outage probability is obtained. It clearly identifies the equivalent diversity order and coding gain of the LF relaying. It is shown that the LF relaying is superior to conventional decode-and-forward relaying in terms of the outage probability and the ϵ-outage achievable rate. Moreover, with the LF relaying, the optimal location for the relay (R), which minimizes the outage probability, is found to be the point having same distance to the source (S) and the destination (D) when the S-R and R-D links experience the same level of fading. The accuracy of the analytical results is verified by a series of Monte Carlo simulations.

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Series: IEEE transactions on vehicular technology
ISSN: 0018-9545
ISSN-E: 1939-9359
ISSN-L: 0018-9545
Volume: 66
Issue: 11
Pages: 10035 - 10043
DOI: 10.1109/TVT.2017.2743498