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研究生:謝杰紘
研究生(外文):Chieh-Hung Hsieh
論文名稱:跳頻分碼多工無線系統中之廣義跳頻碼之設計與分析
論文名稱(外文):Design and Performance Analysis of Generalized Hopping Codes for FH-CDMA Wireless Systems
指導教授:楊谷章
指導教授(外文):Guu-Chang Yang
學位類別:碩士
校院名稱:國立中興大學
系所名稱:通訊工程研究所
學門:工程學門
學類:電資工程學類
論文種類:學術論文
畢業學年度:96
語文別:英文
論文頁數:39
中文關鍵詞:跳頻分碼多工無線系統
外文關鍵詞:FH-CDMAWireless System
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跳頻分碼多工系統在無線通訊上的應用日益受到重視,在本論文中,我們提出一種藉著將最大相關性函數值提升到n,使得碼數目得以變多的新式質數碼,稱之為多階層質數碼。當P是一個質數而代表此質數之次方的n是一正整數,我們可得到碼之數目為P的n次方,這些碼之長度為P且最大相關函數值為n。在碼的長度不變,互相關函數性質變為n的情況下,可大幅提高碼的用戶量,並使其在頻寬不變的狀態下,大量增加同時使用系統之用戶的數目。此多階層質數碼可分為n的階層,如任意兩個碼在第l階層,則其相關函式值即為l。我們分析多階層質數碼在開關鍵移跳頻分碼多工系統中之效能。以往只能求得最大互相關函數值為2之碰撞機率,我們提供了最大互相關函數值為n中互相關函數值為n,n - 1,…,1。之碰撞機率可根據不同的需求,在系統效能與資料傳輸速率上選擇較佳的折衷解決辦法。我們的結果顯示在使用者數量與系統效能中,藉著階層的選擇取得有效的平衡。
The application of frequency-hopping code-division multiple access (FH-CDMA) to wireless communication systems has been receiving significant attention recently. In this thesis, we study a new family of prime codes, so-called multi-level prime codes, with ex-panded code cardinality by relaxing the maximum cross-correlation function of λc to n, where n is a positive integer. If P is a prime number, our new constructions show that there are Pn sequence of length P and its maximum cross-correlation value is less than or equal to n. These multi-level prime codes can be partitioned into n levels, of which the cross-correlation peak between any two FH codes in level l is at most l ( where l ≤ n ). We analyze the performance of the multi-level prime codes in a conventional ON-OFF key-ing/FH-CDMA (OOK/FH-CDMA) system with hard-limiting detection, and provide the hit probability qn,0, qn,1, …, qn,n of having the cross-correlation values 0, 1, …, n, respectively. Our results show that there is a trade-off between code performance and cardinality.
Chapter 1 Introduction 1
1.1 Background 1
1.2 FH-CDMA Systems 3
1.3 Various FH Codes 5
1.3.1 Prime Codes [17] 5
1.3.2 Quadratic Congruence Codes [6] 7
1.3.3 Cubic Codes [7] 10
1.4 Motivation and Outline of Thesis 13
Chapter 2 Construction of Multi-Level Prime Codes 15
2.1 Construction Algorithm 15
2.2 Correlation Property 17
Chapter 3 Performance Analysis of Multi-level Prime Codes 22
3.1 OOK/FH-CDMA Scheme 22
3.2 Effect of Multiple-Access Interference 27
3.3 Effect of Rayleigh Fading 29
3.4 Numerical Results 31
Chapter 4 Conclusions 34
Appendix A 35
Appendix B 36
References 37
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[8] G. I. Turin, “Introduction to spread-spectrum antimultipath techniques and their appli-cation to urban digital radio,” Proc. IEEE, vol. 68, pp. 328-353, March 1980.

[9] D. J. Goodman, P. S. Henry and V. K. Prabhu, “Frequency-hopping multilevel FSK for mobile radio,” Bell Syst. Tech. J., vol. 59, pp. 1257-1275, Sep. 1980

[10] G. Einarsson, “Address assignment for a time-frequency, coded, spread spectrum sys-tem,” Bell Syst. Tech. J., vol. 59, pp. 1241-1255, Sep. 1980.

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[14] C.-L. I and R. D. Gitlin, “Multicode CDMA wireless personal communications net-works,” in Proc. IEEE Int. Conf. Communications (ICC) Seattle, WA, pp. 1060-1064, Jun. 1995.

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[16] T. H. Shake, “Security performance of optical CDMA Against eavesdropping” J. Lightw. Technol., vol. 23, no. 2, pp. 655-670, Feb. 2005.

[17] G.-C. Yang and W. C. Kwong, Prime Codes with Applications to CDMA Optical and Wireless Networks, Norwood, MA: Artech House, 2002.

[18] C.-Y. Chang, G.-C. Yang and W. C. Kwong, ” Wavelength-time codes with maximum cross-correlation function of two for multicode-keying optical CDMA,” J. Lightwave Technol., vol. 24, no. 3, pp. 1093-1100, March 2006.

[19] J.-J. Chen and G.-C. Yang , “CDMA fiber-optic systems with optical hard limiters,” J. Lightw. Technol., vol. 19, no. 7, pp. 950-958, July 2001.

[20] S. B. Wicker and V. K. Bhargava (eds.), Reed-Solomon Codes and Their Applications, New York: Wiley-IEEE Press, Sept. 1999.

[21] T. Mabuchi, R. Kohno and H. Imai, “Multiuser detection scheme based on canceling cochannel interference for MFSK/FH-SSMA system,” IEEE J. Select. Areas Com-mun., vol. 12, no. 4, pp. 593-604, May 1994.
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