桥函数理论综述

SUMMARY OF BRIDGE FUNCTION THEORY

桥函数是三值函数系 ,它是将初始序列经复制方式和移位方式变换后而形成的。它包含沃尔什函数和方块脉冲函数。广义桥函数是多值函数系 ,它是将初始序列经广义复制方式和移位方式变换后而形成的。广义桥函数是桥函数的推广 ,它包括了桥函数 ,Chrestenson函数和沃特函数 ,即将几乎所有的阶梯型非正弦正交函数包含在内。简要介绍了近 2 0年来 ,北京航空航天大学电子工程系通信与信息系统博士点在非正弦正交函数研究方面取得的一些成果。重点介绍了复制理论 ,桥函数 ,广义桥函数和易产生函数分析等专题。

Bridge Function is a three valued function, and is made by the initial sequence according to copy and shift ways. It includes Walsh Function and Block Function. Generalized Bridge Function, which is an extension of Bridge Function, is a multi valued function, and is made by the initial sequence according to generalized copy and shift ways. It includes Bridge Function, Chrestenson Function and Watari Function. This paper briefly introduces some research progress of Beijing University of Aeronautics and Astronautics on the orthogonal function of non sine within last twenty years, emphasizing to introduce the copy theory, Bridge Function, Generalized Bridge Function and Easily Generated Function analysis.