本篇論文中，主要是探討現有之合作式通訊系統相關參考文獻中，較少討論的部份，在此強調有兩要點，一為鮮少文獻於Nakagami- 衰減通道下之分析系統的性能，另一為鮮少文獻探討同時存在AF類中繼站及DF類中繼站的混合式系統。
本論文依序以兩種分析方法，一為機率密度法(PDF)，二為Laplace Transform法，分析全DF類中繼系統、全AF類中繼系統、以及混合式中繼系統在Nakagami- 衰減通道中的系統性能。全DF及全AF類中繼系統兩部分，嘗試推導出Outage probability的Upper及Lower bound，探討並比較所推得的結論。本論文進一步探討混合式中繼系統之性能，同樣推導出Upper及Lower bound，並於Rayleigh通道環境中驗證Nakagami- 環境下推導之結果。最後，本論文探討混合式系統功率分配的問題。

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摘要................................................................................................................................I
誌謝............................................................................................................................... II
目錄.............................................................................................................................. III
圖目錄..........................................................................................................................IV
縮寫對照表............................................................................................................... VII
變數列表...................................................................................................................VIII
第一章 導論.................................................................................................................1
1.1 歷史背景及基礎知識...............................................................................1
1.2 研究動機....................................................................................................4
1.3 論文架構....................................................................................................4
第二章 DF中繼系統於Nakagami-m衰減通道下之系統分析...............................5
2.1 系統模型....................................................................................................5
2.2 不考慮各Relay可能發生Outage的情況下分析系統性能.................7
2.3 系統Diversity order推導與探討.........................................................16
2.4 考慮各Relay可能發生Outage的情況下分析系統性能...................21
第三章 AF中繼系統於Nakagami-m衰減通道下之系統分析.............................29
3.1 系統模型..................................................................................................29
3.2 Nakagami-m衰減通道下之系統分析..................................................32
3.3 系統Diversity order推導與探討.........................................................47
第四章 混合式中繼系統於Nakagami-m衰減通道下之 系統分析.....................51
4.1 系統模型..................................................................................................51
4.2 Nakagami-m衰減通道下之系統分析..................................................54
4.3 系統Diversity order推導與探討.........................................................73
4.4 Rayleigh 衰減通道下之系統分析.........................................................79
4.5 最佳化分配各中繼站傳送功率以降低系統錯誤率.............................84
第五章 結論...............................................................................................................89
附錄A 通道容量及Shannon’s 定理........................................................................91
附錄B Gamma 及Beta函數特性.........................................................................95
附錄C Dominated convergence theorem .............................................................97
附錄D Diversity order計算例子..........................................................................99
附錄E 推導Nakagami-m衰減通道之Laplace轉換函數與動差函數(MFG ) .101
附錄F Laplace transform初值定理...................................................................103
附錄G 探討Laplace transform法推得AF及混合式系統性能之錯誤結果....105
參考文獻.................................................................................................................... 111

[1] Cover, T.; Gamal, A.E., "Capacity theorems for the relay channel," IEEE Transactions on Information Theory, vol.25, no.5, pp. 572-584, Sep 1979.
[2] Sendonaris, A.; Erkip, E.; Aazhang, B., "User cooperation diversity. Part I. and Part II, " IEEE Transactions on Communications, vol.51, no.11, pp. 1927-1948,Nov. 2003.
[3] Laneman, J.N.; Wornell, G.W., "Energy-efficient antenna sharing and relaying for wireless networks ," IEEE Wireless Communications and Networking
Conference, vol.1, no., pp.7-12 vol.1, 2000.
[4] 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, vol.50, no.12, pp. 3062-3080, Dec. 2004.
[5] Savazzi, S.; Spagnolini, U., "Cooperative Fading Regions for Decode and Forward Relaying," , IEEE Transactions on Information Theory, vol.54, no.11,
pp.4908-4924, Nov. 2008
[6] Zhengdao Wang; Giannakis, G.B., "A simple and general parameterization quantifying performance in fading channels," IEEE Transactions on
Communications, vol.51, no.8, pp. 1389-1398, Aug. 2003.
[7] Hasna, M.O.; Alouini, M.-S., "End-to-end performance of transmission systems with relays over Rayleigh-fading channels," IEEE Transactions on Wireless Communications, vol.2, no.6, pp. 1126-1131, Nov. 2003.
[8] Hasna, M.O.; Alouini, M.-S., "Harmonic mean and end-to-end performance of transmission systems with relays," IEEE Transactions on Communications,
vol.52, no.1, pp. 130-135, Jan. 2004.
[9] Hasna, M.O.; Alouini, M.-S., "A performance study of dual-hop transmissions with fixed gain relays," IEEE Transactions on Wireless Communications, vol.3,
no.6, pp. 1963-1968, Nov. 2004.
[10] Suraweera, H.A.; Karagiannidis, G.K., "Closed-form error analysis of the non-identical Nakagami-m relay fading channel," IEEE Communication Letters,
vol.12, no.4, pp.259-261, April 2008.
[11] Karagiannidis, G.K.; Tsiftsis, T.A.; Mallik, R.K., "Bounds for multi-hop relayed
communications in nakagami-m fading," IEEE Transactions on Communications, vol.54, no.1, pp. 18-22, Jan. 2006.
[12] Ikki, S.; Ahmed, M.H., "Performance Analysis of Cooperative Diversity Wireless Networks over Nakagami-m Fading Channel," IEEE Communications
Letters, vol.11, no.4, pp.334-336, April 2007.
[13] Zhao, Y.; Adve, R.; Lim, T.J., "Improving amplify-and-forward relay networks:optimal power allocation versus selection," IEEE Transactions on Wireless
Communications, vol.6, no.8, pp.3114-3123, August 2007.
[14] Luo, J.; Blum, R.S.; Cimini, L.J.; Greenstein, L.J.; Haimovich, A.M., "Decodeand-Forward Cooperative Diversity with Power Allocation in Wireless
Networks," IEEE Transactions on Wireless Communications, vol.6, no.3, pp.793-799, March 2007.
[15] Ribeiro, A.; Xiaodong Cai; Giannakis, G.B., "Symbol error probabilities for general Cooperative links," IEEE Transactions on Wireless Communications, vol.4, no.3, pp. 1264-1273, May 2005.
[16] M. K. Simon and M.-S. Alouini, Digital Communication over Fading Channels. New York: Wiley, 2000.
[17] I. S. Gradshteyn and I. M. Ryzhik, Table of Integrals, Series, and Products, 5th ed. San Diego, CA: Academic, 1994.
[18] S. Boyd and L. Vandenberghe, Convex Optimization. Cambridge University Press, 2004.
[19] J. G. Proakis, Digital Communications, 4th ed. McGraw Hill, 2001.