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研究生:邱信良
研究生(外文):Hsin-Liang Chiu
論文名稱:正交分頻多工群播系統下具降低功率峰均值之噴泉碼
論文名稱(外文):Fountain Codes for OFDM Multicast Systems with PAPR Reduction Capability
指導教授:林茂昭
學位類別:碩士
校院名稱:國立臺灣大學
系所名稱:電信工程學研究所
學門:工程學門
學類:電資工程學類
論文種類:學術論文
論文出版年:2009
畢業學年度:97
語文別:英文
論文頁數:52
中文關鍵詞:噴泉碼正交分頻多工系統功率峰均值
外文關鍵詞:Fountain codesOFDMPAPR
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  • 被引用被引用:0
  • 點閱點閱:130
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近年來,不論是在理論上或是實際應用上,噴泉碼 (fountain codes) 已越來越受到重視。有別於自動重傳請求方法 (Automatic Retransmit reQuest, ARQ) 在群播通訊上封包遺失可能導致的大量重傳,噴泉碼更加適合應用在群播通訊系統。
在這篇論文中,我們考慮一個使用噴泉碼做為封包傳輸編碼的正交分頻多工群播系統。我們提出數個噴泉碼編碼設計用以降低在正交分頻多工系統下高功率峰均值 (Peak to Average Power Ratio, PAPR) 問題,別於一般降低功率峰均值方法需要額外的附帶資訊,我們提出的設計不需要額外的附帶資訊。另外,依據我們提出的設計所編的噴泉碼解碼效果幾近於原來一般的噴泉碼。數學分析以及電腦模擬結果印證了我們的設計。
Recently, fountain codes have got much attention not only in theoretic researches but also in practical applications. Instead of using ARQ (Automatic Retransmit request) methods which may cause large amount of retransmissions for Multicast communication while packet-losses happen among the multicast links, it is more suitable to apply fountain codes for it. In this thesis, we consider an OFDM multicast system which uses fountain codes as packet-level codes to achieve its transmissions. We propose several designs in generating specific fountain codes to solve the inherent high PAPR (Peak-to-Average Power Ratio) problem in OFDM systems. Compared to other usual PAPR reduction methods which need additional side information in the physical layer, our designs require no additional side information in the physical layer. Moreover, the decoding performance of proposed fountain codes maintains almost the same as that of usual fountain codes. Mathematical analyses and simulations verify the excellence of our designs.
Abstract (ii)
List of Tables (v)
List of Figures (vi)
1 INTRODUCTION (1)
2 FOUNTAIN CODES (4)
2.1 Reed-Solomon Codes (RS Codes) (5)
2.2 Random Linear Fountain Codes (RLF Codes) (6)
2.2.1 Divided Random Linear Fountain Codes (8)
2.3 Luby Transform Codes (LT Codes) (8)
2.3.1 LT Codes with Unequal Error Protection
Capability (13)
2.4 Raptor Codes (15)
3 OFDM MULTICAST SYSTEM MODEL (17)
3.1 Fountain Codes for OFDM Multicast Systems (17)
3.2 PAPR Problem (19)
3.2.1 PAPR of OFDM Symbols (19)
3.2.2 CCDF of PAPR (21)
3.2.3 SLM Method for PAPR Reduction (23)
4 PROPOSED SCHEMES FOR PAPR REDUCTION (25)
4.1 Scheme for RLF Codes (26)
4.1.1 Local sorted SLM Scheme (26)
4.1.2 Global Sorted SLM Scheme (33)
4.1.3 Reduced Global Sorted SLM Scheme (38)
4.2 Scheme for LT Codes (39)
4.2.1 Local Sorted SLM (39)
4.2.2 Global Sorted SLM Scheme (41)
4.2.3 Reduced Global Sorted SLM Scheme (42)
5 CONCLUSION (48)
Bibliography (50)
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[4] E. Hyytia, T. Tirronen, and J. Virtamo, “Optimal degree distribution for LT codes with small message length," IEEE INFOCOM 2007, 26th IEEE ICCC, pp. 2576-2580, May 2007.
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[6] M. Luby, “LT codes," Proc. IEEE Symposium on Foundations of Computer Science, pp. 271-280, 2002.
[7] N. Rahnavard, B. Vellambi, and F. Fekri, “Rateless codes with unequal error protection property," IEEE Trans. Inform. Theory, vol. 53, no. 4, pp. 1521-1532, 2007.
[8] N. Rahnavard and F. Fekri, “Finite-length unequal error protection rateless codes: design and analysis," IEEE GLOBECOM ''05, Dec. 2005.
[9] U. Kozat and S. Ramprashad, “Unequal error protection rateless codes for scalable information delivery in mobile networks," IEEE INFOCOM 2007, 26th IEEE ICCC, pp. 2316-2320, May 2007.
[10] A. Shokrollahi, “Raptor codes," IEEE Trans. Inform. Theory, vol. 52, no. 6, pp. 2551-2567, 2006.
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[13] S.-K. Deng, “A study on PAPR of OFDM systems," Graduate Institute of Communication Engineering National Taiwan University doctoral thesis, 2007.
[14] R. V. Nee and R. Prasad, “OFDM for wireless multimedia communications," pp. 119-123, 2000.
[15] S. H. Muller and J. B. Huber, “A comparison of peak power reduction schemes for OFDM," IEEE GLOBECOM ''97, vol. 1, pp. 1-5, Nov. 1997.
[16] R. Bäuml, R. F. H. Fischer, and J. B. Huber, "Reducing the peak-to-average power ratio of multicarrier modulation by selected mapping," Electronics Letters, vol. 32, pp. 2056-2057, Oct. 1996.
[17] S. Ghahramani, “Fundamentals of probability with stochastic processes ed.3," pp. 387-392.
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