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数字通信中正交沃尔什函数的构造研究
引用本文:张德纯,门向生,王兴亮.数字通信中正交沃尔什函数的构造研究[J].空军工程大学学报,2005,6(2):50-54.
作者姓名:张德纯  门向生  王兴亮
作者单位:空军工程大学,电讯工程学院,陕西,西安,710077;空军工程大学,电讯工程学院,陕西,西安,710077;空军工程大学,电讯工程学院,陕西,西安,710077
摘    要:对沃尔什函数的构造进行了深入系统的研究,改进了用瑞得麦彻函数构造连续沃尔什函数的公式,提出了离散沃尔什函数编号与哈达马矩阵行号(或列号)之间相互转换的一整套方法,理顺了离散沃尔什函数编号与哈达马矩阵行号(或列号)之间关系,使得用哈达马矩阵的行(或列)构造的离散沃尔什函数与连续沃尔什函数建立了统一对应的关系,从而可以通过抽样来实现用连续沃尔什函数构造离散沃尔什函数。

关 键 词:沃尔什函数  格雷码  哈达马矩阵  细胞分裂递推法
文章编号:1009-3516(2005)02-0050-05
修稿时间:2004年10月27

A Study of the Construction of Walsh Function in Use for Modern Digital Communication
ZHANG De-chun,MEN Xiang-sheng,WANG Xing-liang.A Study of the Construction of Walsh Function in Use for Modern Digital Communication[J].Journal of Air Force Engineering University(Natural Science Edition),2005,6(2):50-54.
Authors:ZHANG De-chun  MEN Xiang-sheng  WANG Xing-liang
Institution:The Telecommunication Engineering Institute, Air Force Engineering University, Xi''an, Shaanxi 710077, China
Abstract:A systematic and in -depth research on the construction of Walsh function are carried out. The formula of constructing continuous Walsh function with Rademacher function is improved. A complete set of mutually transforming methods between the numbers of the discrete Walsh function and the row or rank numbers of Hadamard matrix is brought up and their relationship is put in order, thus building up a unified and corresponding relationship between the discrete Walsh function which is made from the row or rank of Hadamard matrix and the continuous Walsh function and constructing the discrete Walsh function, with the way of sampling, by continuous Walsh function.
Keywords:Walsh function  Gray code  Hadamard matrix  progressive deriving method ( similar to cell division)
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