A Kind of Biorthogonal Functions based on Fourier-Legendre series and Its Application in Wireless Transmission System

摘要：

In wireless communications,security transmission is hoped to be guaranteed.In this paper,we suggest a new wireless transmission system based on biorthogonal signal.Biorthogonal functions are often obtained from an orthogonal system with some algorithm.With the theorems of Mobius inverse and Dirichlet inverse,we analyze the algorithm to obtain biorthognal functions based on Fourier series analysis.Then,we propose an algorithm to obtain a kind of new biorthogonal functions based on Legendre polynomial analysis,called Generalized Fourier series analysis.The obtained biorthogonal functions are used as scramble modulation signal in wireless transmission system and the transmitted signal has outstanding security performance.Compared with other systems including biorthogonal system based on Fourier series analysis,orthogonal MCM and OFDM,the suggested biorthogonal modulation system based on Fourier-Legendre series has better BER and not bad spectrum efficiency performance than OFDM.

作者: Chen Yueyun Zhang Jinbao Lu Wenqiang Tan Zhenhui

作者单位: State Key Laboratory of Rail Traffic Control and Safety,Beijing Jiaotong University,100044,China;Bei State Key Laboratory of Rail Traffic Control and Safety,Beijing Jiaotong University,100044,China Beijing Science and Technology University,100083,Beijing,China

会议类型: 国际会议

会议名称: 9th International Conference on Signal Processing(第九届国际信号处理学术会议)(ICSP08)

会议地点: 北京

会议语种:英文

在线出版日期: 2008-10-26（万方平台首次上网日期，不代表论文的发表时间）