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Mathematical Problems in Engineering
Volume 2018, Article ID 6310345, 9 pages
Research Article

Performance Analysis of Output Threshold-Based Incremental Multiple-Relay Combining Scheme with Adaptive Modulation for Cooperative Networks

1Department of Electronics Engineering, Kyungil University, Gyeongbuk, Republic of Korea
2School of Electrical Engineering, Kookmin University, Seoul, Republic of Korea

Correspondence should be addressed to MinChul Ju;

Received 23 August 2017; Accepted 12 December 2017; Published 11 January 2018

Academic Editor: Nazrul Islam

Copyright © 2018 Kyu-Sung Hwang and MinChul Ju. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


In this paper, we propose an output threshold-based incremental multiple-relay combining scheme for cooperative amplify-and-forward relay networks with nonidentically distributed relay channels. Specifically, in order to achieve the required performance, we consider both conventional incremental relaying and multiple-relay selection where relays are adaptively selected based on a predetermined output threshold. Moreover, the adaptive modulation technique is adopted by our proposed scheme for satisfying both the spectral efficiency and the required error rate. For the proposed scheme, we first derive an upper bound of the output combined signal-to-noise ratio and then provide its statistics such as cumulative distribution function (CDF), probability density function (PDF), and moment generating function (MGF) over independent, nonidentically distributed Rayleigh fading channels. Additionally, we analyze the system performance in terms of average spectral efficiency, average bit error rate, outage probability, and system complexity. Finally, numerical examples show that our proposed scheme leads to a certain performance improvement in the cooperative networks.