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研究一种新型的求帧同步码组自相关函数的简便方法,并在此基础上以帧同步码中的巴克码序列为例,完成了对其穷举算法的编程,快速验证了24位以内的巴克码序列只有目前已搜索到的10组。该方法是以线性代数的基本理论为基础,借助LabVIEW平台强大的矩阵运算功能来实现的。鉴于自相关函数的计算方法与穷举算法实现的难易程度直接相关,该算法使得利用穷举法搜寻各类帧同步码组时计算更加简单、快捷。
In this paper, we study a new method to find the auto-correlation function of the frame synchronization code group. Based on this, we use the Barker code sequence in the frame synchronization code as an example to complete the programming of its exhaustive algorithm. The Barker sequence contains only 10 groups that have been searched so far. The method is based on the basic theory of linear algebra, with the help of the powerful matrix computing capabilities of the LabVIEW platform. Since the calculation method of autocorrelation function is directly related to the difficulty of the exhaustive algorithm, the algorithm makes it easier and quicker to use the exhaustive method to search all kinds of frame synchronization codes.