期刊文献+

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
原文传递
导出
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.
出处 《北京航空航天大学学报》 EI CAS CSCD 北大核心 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)
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 Ramanujan sums Ramanujan-Fourier transform non-uniform carrier space orthogonalmodulation multicarrier modulation
  • 相关文献

参考文献10

  • 1Nikookar H,Prasad R. Muhicarrier transmission with nonuniform carriers in a multipath channel[ C]//Steinbrecher D H. The 5th IEEE International Conf on Universal Personal Communications. Piscataway : IEEE, 1996,2:628 - 632.
  • 2Xie S C, Chen F J, Kwong S, et al. Generalized multicarrier mod- ulation with pseudo nonuniform carrier spaces [ C ]//Shirochin V P. International Conference on Networks Security,Wireless Com- munications and Trusted Computing NSWCTC 2009. Piscataway: IEEE ,2009,1:196 - 199.
  • 3Ramanujan S. On certain trigonometric sums and their applica- tions in the theory of numbers [ J]. Trans Camb Phil Soc, 1918, 22:259 -276.
  • 4Gopalkrishna Gadiyar H,Padma R. Linking the circle and the sieve : Ramanujan-Fourier series ~ EB/OL ]. New York : Cornell University Library, 2006 [ 2013-07-30 ]. http ://arxiv. org/abs/ math/0601574.
  • 5Samadi S,Ahmad M O,Swamy M. Ramanujan sums and discrete Fourier transforms [ ~ ]. IEEE Signal Processing Letters, 2005, 12(4) :293 -296.
  • 6Lagha M, Bensebti M. Doppler spectrum estimation by Ramanu- jan-Fourier transform (RFT) [ J ]. Digital Signal Processing, 2009,19 (5) :843 - 851.
  • 7Planar M. Ramanujan sums for signal processing of low-frequency noise [ C ]//EerNisse E P. Frequency Control Symposium and PDA Exhibition. Piscataway : IEEE ,2002:715 - 720.
  • 8Sugavaneswaren L,Xie S K, Umapathy K, et al. Time-frequency analysis via Ramanujan sums [ J ]. Signal Processing Letters, IEEE,2012,19(6) :352 -355.
  • 9Carmichael R D. Expansions of arithmetical functions in infinite series [ J ]. Proceedings London Mathematical Society, 1932,1 : 1 -26.
  • 10郭旭静,王祖林.有限长Ramanujan-Fourier快速变换及频率估计[J].北京航空航天大学学报,2011,37(10):1317-1320. 被引量:2

二级参考文献9

  • 1高静,刘华宁.广义M(o|¨)bius变换和算术Fourier变换[J].应用数学学报,2004,27(3):530-535. 被引量:2
  • 2Knockaert L: A generalized mobius transform, arithmetic Frouier transform and primitive roots[ J]. IEEE Trans on Signal Processing,1996,44(5) :1307-1310.
  • 3Planat M, Rosu H, Perrine S. Ramanujan sums for signal processing of low-frequency noise[ C]//Proceedings of 2002 IEEE International Frequency Control Symposium and PDA Exhibition. New Orleans: [ s. n. ] ,2002:715-720.
  • 4Ramanujan S. On certain trigonometric sums and their applications in the theory of numbers[ J]. Trans Camb Phil Soc, 1918, 22:259-276.
  • 5Samadi S,Ahmad M O,Swamy M. Ramanujan sums and discrete Fourier transforms [ J ]. IEEE Signal Processing Letters, 2005, 12(4) :293 -296.
  • 6Pei Soo Chang, Chang Kuo Wei. Odd ramanujan sums of complex roots of unity[J]. IEEE Signal Processing Letters,2007,14( 1 ) : 20-23.
  • 7Geetha K S, Ananthashayana V K. Fast multiplierless recursive transforms using Ramanujan numbers[ C ]//Proceedings of IEEE Multimedia, Signal Processing and Communication Technologies. Aliqarh, India: [ s. n. ] ,2009 : 116-119.
  • 8Mainardi L T, Bertinelli M, Sassi R. Analysis of T-wave alternans using the Ramanujan transform[ J]. Computer in Cardiology Bologna,2008,35:605-608.
  • 9Mohand Lagha, Messaoud Bensebti. Doppler spectrum estimation by Ramanujan-Fourler transform (RFT) [ J]. Digital Signal Processing,2009,19 ( 5 ) :843-851.

共引文献1

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部