多载波CDMA中用于峰值功率控制的Reed-Muller码
Reed-Muller Codes for Peak Power Control in Multicarrier CDMA
摘要：
研究了用于多载波码分多址（MC-CDMA）通信系统峰值功率控制的Reed-Muller码。在编码MC-CDMA系统中，从用户复用的信息数据由Reed-Muller子码编码，码字被完全加载到Walsh-Hadamard扩展序列。建立了MC-CDMA编码信号的多项式表示，并对峰均功率比（PAPR）进行了理论分析。Reed-Muller子码由布尔函数递归定义，使MC-CDMA信号具有有界峰均比和纠错能力。从理论上研究了编码MC-CDMA系统中码率与最大峰均比之间的关系。仿真结果表明，MC-CDMA编码信号的峰均比不仅在理论上有界，而且在统计上也有所降低。特别是，编码MC-CDMA解决了未编码MC-CDMA的主要PAPR问题，大大降低了其PAPR为少数用户。最后，理论和统计研究表明，Reed-Muller子码是有效的编码方案的峰值功率控制的MC-CDMA的用户数，子载波数和扩频因子的小和中等。
英文摘要：
Reed-Muller codes are studied for peak power control in multicarrier code-division multiple access (MC-CDMA) communication systems. In a coded MC-CDMA system, the information data multiplexed from users is encoded by a Reed-Muller subcode and the codeword is fully-loaded to Walsh-Hadamard spreading sequences. The polynomial representation of a coded MC-CDMA signal is established for theoretical analysis of the peak-to-average power ratio (PAPR). The Reed-Muller subcodes are defined in a recursive way by the Boolean functions providing the transmitted MC-CDMA signals with the bounded PAPR as well as the error correction capability. A connection between the code rates and the maximum PAPR is theoretically investigated in the coded MC-CDMA. Simulation results present the statistical evidence that the PAPR of the coded MC-CDMA signal is not only theoretically bounded, but also statistically reduced. In particular, the coded MC-CDMA solves the major PAPR problem of uncoded MC-CDMA by dramatically reducing its PAPR for the small number of users. Finally, the theoretical and statistical studies show that the Reed-Muller subcodes are effective coding schemes for peak power control in MC-CDMA with small and moderate numbers of users, subcarriers, and spreading factors.
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