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WG序列和Hyperoval序列的互相关性研究

         

摘要

In accordance with the pseudorandom properties of pseudorandom sequences, this paper investigates the cross-correlation functions between Welch-Gong(WG) sequences and Hyperoval sequences(decimated Hyperoval sequences with one particular exponent) for odd n by using the Walsh spectrum representations of trace functions from F2n to F2. In the correspondence, it shows that the calculation of the cross-correlation functions between WG sequences and Hyperoval sequences(Glynn II of Hyperoval sequences under an 1 /(k -1) -decimation) are all related to the cross-correlation functions between m-sequences and their decimations.%针对伪随机序列中的伪随机特性问题,利用从F2n到F2的迹函数在一点处的Walsh谱表示法,对n为奇数时的WG序列和Hyperoval序列及其采样序列间的互相关函数进行研究.分析结果表明,WG序列Hyperoval序列间的互相关函数及WG序列和采样间隔为1/(k-(1))D的Glynn类型Ⅱ的Hyperoval序列间的互相关函数均可转化为m-序列与其采样序列间的互相关函数.

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