Abstract Wireless relay and network coding are two critical techniques to increase the reliability and throughput of wireless cooperative communication systems. In this paper, a complex field network coding (CFNC) scheme with the K-th best relay selection (KBS) is proposed and investigated, wherein the K-th best relay is selected to forward the multiplexed signal to the destination. First, the upper bound of the symbol error probability (SEP), the diversity order, and the coding gain are derived for the CFNC scheme with KBS. Then, the coding gain is utilized as the optimized criterion to determine the optimal power allocation. It is validated through analysis and simulation that the CFNC scheme with KBS can achieve full diversity only when K=1, while the diversity order decreases with increasing parameter K, and the optimal power allocation can significantly improve the performance of the CFNC scheme with KBS.
This work was supported by the National Basic Research Program of China (973 Program No. 2012CB316100), and the National Natural Science Foundation of China (Nos. 61032002/61271246), and the 111 Project (No. 111-2-14).
Cite this article:
Xi CAI, Pingzhi FAN, Qingchun CHEN.Optimal power allocation for complex field network coding scheme with the K-th best relay selection[J] JMT, 2012,V20(4): 255-260
J.N. Laneman, D.N.C. Tse, G.W. Wornell, Cooperative diversity in wireless networks: Efficient protocols and outage behavior, IEEE Transaction Information Theory, 2004, 50(12): 3062- 3080.
T. Wang, G.B. Giannakis, R. Wang, Smart regenerative relays for link-adaptive cooperative communications. IEEE Transaction on Communications, 2008, 56(11): 1950-1960.
T. Wang, G. Giannakis, Complex field network coding for multiuser cooperative communications, IEEE Selected Areas in Communication, 2008, 26(3): 561-571.
T. Wang, G.B. Giannakis, High-throughput cooperative communications with complex field network coding. In: Proceedings of Conference on Information Sciences and Systems (CISS’07), The Johns Hopkins University, 2007: 253-258.
Y. Wu, P. Chou, S. Kung, Information exchange in wireless networks with network coding and physical-layer broadcast. In: Proceedings of 2005 Conference on Information Sciences and Systems, The Johns Hopkins University, 2005: 16-18.
Y. Chen.[J].S. Kishore, J. Li, Wireless diversity through network coding, In: Proceedings of 2006 IEEE Wireless Communications and Networking Conference (WCNC'06), Las Vegas, NV USA.2006,:-
L. Xiao, T. Fuja, J. Kliewer, et al., A network coding approach to cooperative diversity, IEEE Transaction Information Theory, 2007, 53(10): 3714-3722.
X. Bao, J. Li, Adaptive network coded cooperation (ANCC) for wireless relay networks: matching code-on-graph with network-on-graph, IEEE Transactions on Wireless Communications, 2008, 7(2): 574-583.
M. Peng, H. Liu, W. Wang, et al., Cooperative network coding with MIMO transmission in wireless decode-and-forward relay networks, IEEE Transactions on Vehicular Technology, 2010, 59(7): 3577-3588.
S. Zhang.[J].S. Liew, P. Lam, Physical layer network coding, In: Proceeding of the Twelfth Annual International Conference on Mobile Computing and Network (ACM MobiCom’06), Los Angeles, CA, USA.2006,:-
S. Katti, S. Gollakota, D. Katabi, Embracing wireless interference: analog network coding, In: Proceeding of the Flagship Annual Meeting of the Special Interest Group on Data Communication (ACM SIGCOMM '07), Kyoto, Japan, 2007: 397-408.
L. Venturino, X. Wang, M. Lops, Multiuser detection for cooperative networks and performance analysis, IEEE Transactions on Signal Processing, 2006, 54(9): 3315-3329.
L. Venturino, X. Wang, M. Lops, Multiuser detection for cooperative networks and performance analysis, In: Proceeding of the IEEE Signal Processing Workshop on Signal Processing Advances in Wireless Communications (SPAWC’05), New York, USA, 2005: 940-944.
Z. Han, X. Zhang, H.V. Win, Cooperative transmission protocols with high spectral efficiency and high diversity order using multiuser detection and network coding. In: Proceeding of IEEE International Conference on Communications (ICC’07), Grasse, 2007: 4232-4236.
M. Ju, I.M. Kim, Relay selection with ANC and TDBC protocols in bidirectional relay networks, IEEE Transaction on Communications, 2010, 58(12): 3500-3511.
A. Bletsas, A. Khisti, D.P. Reed, et al., A simple cooperative diversity method based on network path selection, IEEE Journal on Selected Areas Communications, 2006, 24(3): 659-67.
A. Bletsas, H. Shin, M.Z. Win, Cooperative communications with outage-optimal opportunistic relaying, IEEETransactions on Wireless Communications, 2007, 6(9): 3450-3460.
S.S. Ikki, M.H. Ahmed, On the performance of cooperative-diversity networks with the .-th best-relay selection scheme, IEEE Transactions on Communications, 2010, 58(11): 3062-3069.
J. Tian, Q. Zhang, S. H. Ting, LCR and AFD of Decode-and Forward Relay Networks with Nth Best Relay Selection Schemes in Rayleigh Fading Channels, IEEE Wireless Communications Letters, 2012, 1(4): 380-383.
A. Cano, T. Wang, A Ribeiro, et al., Link-adaptive distributed coding for multisource cooperation, EURASIP Journal on Advances in Signal Processing, 2008, 38: 1-12.
Y. Ding, J.K. Zhang, K.M. Wong, The amplify-and-forward half-duplex cooperative system: pairwise error probability and precoder design, IEEE Transactions on Signal Processing, 2007, 55(2): 605-617.
Q.F. Zhou, Y. Li, F.C.M. Lau, et al. Decode-and-forward two-way relaying with network coding and opportunistic relay selection, IEEE Transactions on Communications, 2010, 58(11): 3070-3076.