Vol. 43

Front:[PDF file] Back:[PDF file]
Latest Volume
All Volumes
All Issues
2013-09-08

Three-Hop AF Distributed Relay Systems Under Power Constraints

By Kanghee Lee and Hyuck M. Kwon
Progress In Electromagnetics Research C, Vol. 43, 201-216, 2013
doi:10.2528/PIERC13071202

Abstract

This paper proposes an amplify-and-forward (AF) distributed relay network consisting of a one-source-one-destination pair and two-level N relays. Optimal relay amplifying matrices (or vectors) at the relays in the first and second levels are determined based on the minimum mean square error (MMSE) criterion. Power is globally, locally, and aggregately constrained at the relays in the first and second levels, independently or separately. With the derived optimal relay amplifying matrices, bit error rate (BER), mean square error (MSE) behavior, and the achievable rate are investigated. It is also proven that minimizing the MSE is equal to maximizing the signal-to-noise ratio (SNR) in a three-hop AF wireless relay network.

Citation


Kanghee Lee and Hyuck M. Kwon, "Three-Hop AF Distributed Relay Systems Under Power Constraints," Progress In Electromagnetics Research C, Vol. 43, 201-216, 2013.
doi:10.2528/PIERC13071202
http://jpier.org/PIERC/pier.php?paper=13071202

References


    1. Avestimehr, A. S., S. N. Diggavi, and D. N. C. Tse, "Wireless network information flow: A deterministic approach," IEEE Transactions on Information Theory, Vol. 57, No. 4, 1872-1905, Apr. 2011.
    doi:10.1109/TIT.2011.2110110

    2. Wang, T., G. B. Giannakis, and R. Wang, "Smart regenerative relays for link-adaptive cooperative communications," IEEE Transactions on Communications, Vol. 56, No. 11, 1950-1960, Nov. 2008.
    doi:10.1109/TCOMM.2008.060688

    3. Nazer, B. and M. Gastpar, "Compute-and-forward: Harnessing interference through structured codes," IEEE Transactions on Information Theory, Vol. 57, No. 10, 6463-6486, Oct. 2011.
    doi:10.1109/TIT.2011.2165816

    4. Kramer, G., M. Gastpar, and P. Gupta, "Cooperative strategies and capacity theorems for relay networks," IEEE Transactions on Information Theory, Vol. 51, No. 9, 3037-3063, Sep. 2005.
    doi:10.1109/TIT.2005.853304

    5. Laneman, J., D. N. C. Tse, and G. W. Wornell, "Cooperative diversity in wireless networks: Efficient protocols and outage behaviour," IEEE Transactions on Information Theory, Vol. 50, No. 12, 3062-3080, Dec. 2004.
    doi:10.1109/TIT.2004.838089

    6. Choi, J., "MMSE-based distributed beamforming in cooperative relay networks," IEEE Transactions on Communications, Vol. 59, No. 5, 1346-1356, May 2011.
    doi:10.1109/TCOMM.2011.030411.100158

    7. Lee, K., H. M. Kwon, H. Kim, J. Yang, H. Park, and Y. H. Lee, "A cooperative AF wireless relay network under three wireless communication conditions with relay power constraint," Proceedings of IEEE ICC, Budapest, Hungary, Jun. 2013.

    8. Lee, K., H. M. Kwon, D. Kim, Y. Shim, H. Park, Y. H. Lee, and I. Hyun, "Adverse wireless communication environment impacts on AF wireless relay networks," Proceedings of IEEE 77th VTC, Dresden, Germany, Jun. 2013.

    9. Gomadam, K. S. and S. A. Jafar, "The effect of noise correlation in amplify-and-forward relay networks," IEEE Transactions on Information Theory, Vol. 55, No. 2, 731-745, Feb. 2009.
    doi:10.1109/TIT.2008.2009826

    10. Lee, K., H. M. Kwon, W. Xiong, H. Kim, S. Feng, H. Park, and Y. H. Lee, "Two-level MMSE relay strategy for an AF wireless relay network," Proceedings of 50th Allerton, 1653-1658, University of Illinois, Urbana-Champaign, IL, Oct. 2012.

    11. Joung, J. and A. H. Sayed, "Power allocation for beamforming relay networks under channel uncertainties," IEEE Global Telecommunications Conference, GLOBECOM, 1-6, Honolulu, HI, Nov. 2007.

    12. Joung, J. and A. H. Sayed, "Distributed beamforming and mode selection based on instantaneous system throughput," 2010 IEEE International Conference on Aoustics Speech and Signal Processing (ICASSP), 3034-3037, Dallas, TX, Mar. 2010.

    13. Poor, H., An Introduction to Signal, Detection and Estimation, 2nd Edition, Springer-Verlag, New York, NY, 1994.

    14. Scaglione, A., P. Stoic, S. Barbarossa, G. B. Giannakis, and H. Sampathe, "Optimal designs for space-time linear precoders and decoders," IEEE Transactions on Signal Processing, Vol. 50, No. 5, 1051-1064, May 2002.
    doi:10.1109/78.995062

    15. Boyd, S. and L. Vandenberghe, Convex Optimization, Cambridge, University Press, Cambridge, UK, 1985.

    16. HjØrungnes, A. and D. Gesbert, "Complex-valued matrix differentiation: Techniques and key results," IEEE Transactions on Signal Processing, Vol. 55, No. 6, 2740-2746, May 2007.
    doi:10.1109/TSP.2007.893762