Title :
Cyclically orthogonal subsets of Walsh functions
Author :
Xia, Yongxiang ; Li, Pu ; Shan, Xiuming ; Ren, Yong
Author_Institution :
Dept. of Electron. Eng., Tsinghua Univ., Beijing, China
Abstract :
This paper studies the correlation properties of Walsh functions. It is found that Walsh functions generated by a Hadamard matrix could be divided into several cyclically orthogonal subsets. An approach to obtain such subsets is proposed as a theorem and is proved through the mathematical induction. The application of the cyclically orthogonal subsets of Walsh functions to DS-CDMA communications is then discussed.
Keywords :
Hadamard matrices; Walsh functions; code division multiple access; correlation methods; multiuser channels; radiofrequency interference; sequences; set theory; spread spectrum communication; DS-CDMA communications; Hadamard matrix; Walsh functions; correlation properties; cyclically orthogonal subsets; multiple access interference; Algorithm design and analysis; Communication system control; Control system analysis; Control systems; Induction generators; Ink; Multiaccess communication; Multiple access interference; Signal analysis; Signal processing algorithms;
Conference_Titel :
Communication Systems, 2002. ICCS 2002. The 8th International Conference on
Print_ISBN :
0-7803-7510-6
DOI :
10.1109/ICCS.2002.1182447
