Scheduled System Maintenance:
On May 6th, system maintenance will take place from 8:00 AM - 12:00 PM ET (12:00 - 16:00 UTC). During this time, there may be intermittent impact on performance. We apologize for the inconvenience.
By Topic

A kind of biorthogonal functions based on Fourier-Legendre series and its application in wireless transmission system

Sign In

Cookies must be enabled to login.After enabling cookies , please use refresh or reload or ctrl+f5 on the browser for the login options.

Formats Non-Member Member
$31 $13
Learn how you can qualify for the best price for this item!
Become an IEEE Member or Subscribe to
IEEE Xplore for exclusive pricing!
close button

puzzle piece

IEEE membership options for an individual and IEEE Xplore subscriptions for an organization offer the most affordable access to essential journal articles, conference papers, standards, eBooks, and eLearning courses.

Learn more about:

IEEE membership

IEEE Xplore subscriptions

4 Author(s)
Chen Yueyun ; State Key Lab. of Rail Traffic Control & Safety, Beijing Jiaotong Univ., Beijing ; Zhang Jinbao ; Lu Wenqiang ; Tan Zhenhui

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.

Published in:

Signal Processing, 2008. ICSP 2008. 9th International Conference on

Date of Conference:

26-29 Oct. 2008