从GMW结构中确定二值序列相互关系的判据

2007 3rd International Workshop on Signal Design and Its Applications in Communications Pub Date : 2007-12-26 DOI:10.1109/IWSDA.2007.4408411

Shenghua Li, L. Hu, Xiangyong Zeng

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引用次数: 0

摘要

GMW结构的二进制序列由幂函数和迹函数组成的链定义。对于这样一个数列，我们给出了它的抽取与它的伴随数列之间的相互关系与所有幂无关的一个判据。由于二值GMW或级联GMW序列与其伴随序列相同，因此可以根据m序列上的已知结果根据该准则确定序列及其抽取的相互关系。进一步讨论了级联GMW序列的3值和4值相关函数。

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A Criterion for Determining the Crosscorrelation of Binary Sequences from GMW Constructions

A binary sequence from the GMW constructions is defined by a chain of power functions and trace functions. In this paper, for such a sequence, we present a criterion on the decimation such that the crosscorrelation between its decimation and its adjoint sequence is independent of all the powers. Since a binary GMW or cascaded GMW sequence is the same as its adjoint sequence, the crosscorrelation of the sequence and its decimations can be determined from known results on m-sequences by the criterion. Furthermore, we discuss the 3-valued and 4-valued correlation functions of cascaded GMW sequences.

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2007 3rd International Workshop on Signal Design and Its Applications in Communications

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