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Design and Performance Analysis of Hopping Sequences for FH-CDMA Wireless Communication Systems Based on Reed-Solomon Codes
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|摘要:||在跳頻分碼多工系統(FH-CDMA System)中，籍由分配各自不同的跳頻碼給用戶，能讓多個用戶可以同時地使用同一頻帶來傳送所需的資料。然而，當不同用戶在同一時間使用相同頻率時會發生所謂的多重存取干擾(MAI)，以至限制可同時使用系統的用戶總數。而籍由適當的跳頻碼設計，可大幅降低多重存取干擾)之影響。在本論文中，我們探討利用里德所羅門碼之分群設計建造跳頻碼，我們提出兩種利用里德所羅門碼分群的建造方式，第一種是針對在同步系統中，籍由提高最大互相關函數值至d，來產生qd+1組之跳頻碼；而第二種方式則可在非同步系統中，提供qλc組之跳頻碼。在系統之效能上，我們專注於最大循環互相關函數值為λc =2之跳頻碼，並且此q2組跳頻碼可進一步分割為q群，使得任兩組位於相同群內之跳頻碼的最大互相關函數值降為1。在本論文的最後，我們也提供在瑞利(Rayleigh)通道下之開關鍵移(OOK)跳頻分碼多工系統之效能分析。|
By assigning a distinct frequency-hopping (FH) pattern to each user, frequency-hopping code-division multiple-access (FH-CDMA) systems allow a lot of users to share the same transmission bandwidth simultaneously. However, multiple access interference (MAI) occurs when the same carrier frequency is utilized by more than one users at the same time. Hence, MAI increases with the number of simultaneous users and limits the capacity of FH-CDMA systems. MAI can be greatly reduced by controlling the cross-correlation property of FH patterns. In this thesis, we have proposed a new family of FH patterns based on the Reed-Solomon (RS) codes. For synchronous system, the new construction can provide up to qd+1 FH patterns by increasing the maximum cross-correlation function to d, As for non-synchronous system, there are in total qλc FH patterns from the new construction. For the performance analysis, we focus on the FH patterns with maximum cross-correlation value being equal to two. Furthermore, these q2 FH patterns can be partitioned into q cosets of which the maximum cross-correlation value between any two codewords in the same coset becomes one. Finally, the system performance of on-off-keying (OOK)/ FH-CDMA scheme over a Rayleigh fading channel is given.
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