Ofdm-Based Cooperative Communications in a Single Path Relay Network and a Multiple Path Relay Network

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OFDM-based Cooperative Communications in a Single Path Relay Network and a Multiple Path Relay Network

A Thesis Presented to The Academic Faculty by

Victor Kai Yuen Wu

In Partial Fulfillment of the Requirements for the Degree Master of Science

School of Electrical and Computer Engineering Georgia Institute of Technology December 2006

OFDM-based Cooperative Communications in a Single Path Relay Network and a Multiple Path Relay Network

Approved by:

Dr. Ye (Geoffrey) Li, Advisor School of Electrical and Computer Engineering Georgia Institute of Technology Dr. John R. Barry School of Electrical and Computer Engineering Georgia Institute of Technology Dr. Gordon St¨ber u School of Electrical and Computer Engineering Georgia Institute of Technology

Date Approved: November 8, 2006

ACKNOWLEDGEMENTS

I would like to thank Professor Li for being my academic advisor for the past year. His support and advice has made this thesis possible. I would also like to thank Professor Barry and Professor St¨ber for reading this thesis. u

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TABLE OF CONTENTS
ACKNOWLEDGEMENTS . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . LIST OF TABLES . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . LIST OF FIGURES . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . iii vi vii ix 1 1 2 3 4 5 5 5 7 8 9 10 10 13 14 14 19 27 27 27 30 31 32 33

SUMMARY . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . I INTRODUCTION . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1.1 1.2 1.3 1.4 II Motivation . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . Related Literature . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . OFDM in Cooperative Communications . . . . . . . . . . . . . . . . . . . Organization of Thesis . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

SINGLE PATH RELAY NETWORK . . . . . . . . . . . . . . . . . . . . . 2.1 Amplify-and-Forward . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2.1.1 2.1.2 2.1.3 2.1.4 2.2 System Model . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . Mutual Information . . . . . . . . . . . . . . . . . . . . . . . . . . . Relay Power Allocation . . . . . . . . . . . . . . . . . . . . . . . . . Capacity Simulations . . . . . . . . . . . . . . . . . . . . . . . . . .

Decode-and-Forward . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2.2.1 System Model . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

2.3

BER and WER Simulations . . . . . . . . . . . . . . . . . . . . . . . . . . 2.3.1 2.3.2 2.3.3 Amplify-and-Forward . . . . . . . . . . . . . . . . . . . . . . . . . . Decode-and-Forward . . . . . . . . . . . . . . . . . . . . . . . . . . Comparison . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

III MULTIPLE PATH RELAY NETWORK . . . . . . . . . . . . . . . . . . . 3.1 Amplify-and-Forward . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3.1.1 3.1.2 3.1.3 3.1.4 3.2 System Model . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . Mutual Information . . . . . . . . . . . . . . . . . . . . . . . . . . . Relay Power Allocation . . . . . . . . . . . . . . . . . . . . . . . . . Capacity Simulations . . . . . . . . . . . . . . . . . . . . . . . . . .

Decode-and-Forward . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

iv

3.2.1 3.3

System Model . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

33 35 36 36 41 49 49 50 52

BER and WER Simulations . . . . . . . . . . . . . . . . . . . . . . . . . . 3.3.1 3.3.2 3.3.3 Amplify-and-Forward . . . . . . . . . . . . . . . . . . . . . . . . . . Decode-and-Forward . . . . . . . . . . . . . . . . . . . . . . . . . . Comparison . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

IV CONCLUSIONS . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4.1 4.2 Contributions . . . . . ....

References: [1] Cover, T. M. and Thomas, J. A., Elements of Information Theory. New York, NY: John Wiley & Sons, Inc., 1991. ˙ [2] I. E. Telatar, “Capacity of multi-antenna gaussian channels,” Eur. Trans. Telecom. ETT, vol. 10, pp. 585–596, Nov. 1999. [3] Hasna, M. O. and Alouini, M., “Performance analysis of two-hop relayed transmission over rayleigh-fading channels,” in Proc. IEEE Vehicular Technology Conf., (Vancouver, BC, Canada), pp. 1992–1996, Sept. 2002. [4] Hasna, M. O. and Alouini, M., “Optimal power allocation for relayed transmissions over rayleigh-fading channels,” IEEE Trans. Wireless Commun., vol. 3, pp. 1999–2004, Nov. 2004. [5] Laneman, J. N., Cooperative diversity in wireless networks: algorithms and architectures. PhD thesis, MIT, Cambridge, MA, Sept. 2002. [6] Laneman, J. N., Tse, D. N. C., and Wornell, G. W., “Cooperative diversity in wireless networks: Efficient protocols and outage behavior,” IEEE Trans. Inform. Theory, vol. 50, pp. 3062–3080, Dec. 2004. [7] Laneman, J. N., Wornell, G., and Tse, D. N. C., “An efficient protocol for realizing cooperative diversity in wireless networks,” in Proc. IEEE Int. Symp. Information Theory (ISIT), (Washington D.C.), p. 294, June 2001. [8] Proakis, J. G., Digital Communications. McGraw-Hill Inc., fourth ed., 2001. [9] Ribeiro, A., Cai, X., and Giannakis, G. B., “Symbol error probabilities for general cooperative links,” IEEE Trans. Wireless Commun., vol. 4, pp. 1264–1273, May 2005. [10] Sendonaris, A., Erkip, E., and Aazhang, B., “User cooperation diversity – Part I: System description,” IEEE Trans. Commun., vol. 51, pp. 1927–1938, Nov. 2003. [11] Sendonaris, A., Erkip, E., and Aazhang, B., “User cooperation diversity – Part II: Implementation aspects and performance analysis,” IEEE Trans. Commun., vol. 51, pp. 1939–1948, Nov. 2003. ¨ [12] Stuber, G. L., Principles of Mobile Communications. Norwell, MA: Kluwer Academic Publishers, second ed., 2001. [13] Zhao, Y., Adve, R., and Lim, T. J., “Improving amplify-and-forward relay networks: Optimal power allocation versus selection,”
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