RESEARCH ARTICLE

Tighter bounds of multihop relayed communications in Nakagami-m fading

  • Lianhai WU ,
  • Jiaru LIN ,
  • Kai NIU ,
  • Zhiqiang HE
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  • Key Laboratory of Universal Wireless Communications of Ministry of Education, Beijing University of Posts and Telecommunications, Beijing 100876, China

Received date: 26 Jan 2010

Accepted date: 06 Aug 2010

Published date: 05 Dec 2010

Copyright

2014 Higher Education Press and Springer-Verlag Berlin Heidelberg

Abstract

Closed-form bounds for the end-to-end perform-ance of multihop communications with non-regenerative relays over Nakagami-m fading channels are investigated. Upper and lower bounds of the end-to-end signal-to-noise ratio (SNR) are first developed by using the monotonicity. Then, the probability density functions (PDFs), the cumulative€ distribution€ functions, €and€ the€ moment-generating functions (MGFs) of the bounds are derived. Using these results, the bounds for the outage and average bit error probability (ABEP) are obtained. Numerical and simulation results are executed to validate the tightness of the proposed bounds.

Cite this article

Lianhai WU , Jiaru LIN , Kai NIU , Zhiqiang HE . Tighter bounds of multihop relayed communications in Nakagami-m fading[J]. Frontiers of Electrical and Electronic Engineering, 2010 , 5(4) : 470 -474 . DOI: 10.1007/s11460-010-0117-8

Acknowledgements

This work was supported by the National Basic Research Program of China (Nos. 2007CB310604 and 2009CB320401) and the National Natural Science Foundation of China (Grant No. 60772108).
1
Laneman J N, Tse D N C, Wornell G W. Cooperative diversity in wireless networks efficient protocols and outage behavior. IEEE Transactions on Information Theory, 2004, 50(12): 3062-3080

DOI

2
Laneman J N, Wornell G W. Energy-efficient antenna sharing and relaying for wireless networks. In: Proceedings of Wireless Communications and Networking Conference 2000. 2000, 1: 7-12

3
Boyer J, Falconer D D, Yanikomeroglu H. Multihop diversity in wireless relaying channels. IEEE Transactions on Communications, 2004, 52(10): 1820-1830

DOI

4
Hasna M O, Alouini M S. End-to-end performance of transmission systems with relays over Rayleigh fading channels. IEEE Transactions on Wireless Communications, 2003, 2(6): 1126-1131

DOI

5
Hasna M O, Alouini M S. Harmonic mean and end-to-end performance of transmission systems with relays. IEEE Transactions on Communications, 2004, 52(1): 130-135

DOI

6
Hasna M O, Alouini M S. A performance study of dual-hop transmissions with fixed gain relays. IEEE Transactions on Wireless Communications, 2004, 3(6): 1963-1968

7
Ikki S, Ahmed M H. Performance analysis of dual-hop relaying communications over generalized Gamma fading channels. In: Proceedings of IEEE Global Telecommunications Conference 2007. 2007, 3888-3893

8
Hasna M O, Alouini M S. Outage probability of multihop transmission over Nakagami fading channels. IEEE Communications Letters, 2003, 7(5): 216-218

DOI

9
Karagiannidis G K. Performance bounds of multihop wireless communications with blind relays over generalized fading channels. IEEE Transactions on Wireless Communications, 2006, 5(3): 498-503

DOI

10
Karagiannidis G K, Tsiftsis T A, Mallik R K. Bounds for multihop relayed communications in Nakagami-m fading. IEEE Transactions on Communications, 2006, 54(1): 18-22

DOI

11
Gradshteyn I S, Ryzhik I M. Table of Integrals, Series, and Products. 6th ed. New York: Academic Press, 2000

12
Ikki S, Ahmed M H. Performance analysis of cooperative diversity wireless networks over Nakagami-m fading channel. IEEE Communications Letters, 2007, 11(4): 334-336

DOI

13
Karagiannidis G K, Sagias N C, Tsiftsis T A. Closed-form statistics for the sum of squared Nakagami-m variates and its applications. IEEE Transactions on Communications, 2006, 54(8): 1353-1359

DOI

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