基于拉曼努金和的非均匀多载波调制系统  

Novel non-uniform multi-tone system based on Ramanujan sums

作　　者：周丽娜[1] 王祖林[1] 尚佳栋[1] 杨蓝[1] 

机构地区：[1]北京航空航天大学电子信息工程学院,北京100191

出　　处：《北京航空航天大学学报》2014年第3期338-343,共6页Journal of Beijing University of Aeronautics and Astronautics

基　　金：国家自然科学基金资助项目(61071070)

摘　　要：针对高速移动通信,多普勒效应和多径效应导致信道非均匀,提出一种基于拉曼努金和的频谱可调的非均匀调制多载波系统.首先,根据拉曼努金和的正交性和周期性,推导了拉曼努金傅里叶正反变换的完全重建条件,进而建立基于拉曼努金和的多载波调制系统(RFMT,Ramanujan Fourier Multi-Tone system).由于拉曼努金和的非均匀频谱分布性质及频率共振性质,RFMT在不同载波通道的误比特率不同,可实现对数据的不均等保护.在非均匀信道下RFMT具有优于OFDM的抗多径能力,仿真验证了RFMT的抗多径有效性.在使用迫零均衡算法时,10-5误比特率下,根据信道情况设计的非均匀多载波系统RFMT对Eb/N0的要求可以比OFDM低4 dB.In the high speed mobile communication systems, the channel is usually a random or jitter of uniform frequency channel because of the fluctuations in speed of moving vehicles and multi-path effect. This fact leads to a study of non-uniform spectrum system. A novel non-uniform multi-tone system based on Ra-manujan sums was proposed. First it was proved that the transform pair based on Ramanujan sums can be per-fectly reconstructed at some circumstance. Then an efficient realization structure to build a multi-tone system named as Ramanujan Fourier multi-tone system （RFMT） was proposed and simulated in additive white Gaussi- an noise （AWGN） and multi-path channels. With the help of non-uniform spectrum and diversity character, RFMT can protect different data in different sub-carriers and achieve a 4 dB lower Eb/No than orthogonal fre-quency division multiplexing （OFDM） in 3-path channel using zero-forcing equalization with bit error rate （BER） 10^-5.

关 键 词：拉曼努金和 拉曼努金傅里叶变换 非均匀载波间隔 正交调制 多载波调制 

分 类 号：TN911.3[电子电信—通信与信息系统]