论文标题
基于四元建立第四纪周期性互补对的方法
A quaternion-based approach to construct quaternary periodic complementary pairs
论文作者
论文摘要
如果其周期性自相关的总和是Delta函数，则两个阵列形成周期性互补对。然而，对于大型阵列的条目限制为小字母，找到这样的对具有挑战性。一个这样的字母是第四纪集合，其中包含统一的复杂第四根。在本文中，我们提出了一种技术，以使用完美的四个阵列构建在第四纪定义的定期互补对。我们展示了如何使用我们的方法来构建新的第四纪序列，矩阵和四维阵列。
Two arrays form a periodic complementary pair if the sum of their periodic autocorrelations is a delta function. Finding such pairs, however, is challenging for large arrays whose entries are constrained to a small alphabet. One such alphabet is the quaternary set which contains the complex fourth roots of unity. In this paper, we propose a technique to construct periodic complementary pairs defined over the quaternary set using perfect quaternion arrays. We show how new pairs of quaternary sequences, matrices, and four-dimensional arrays that satisfy a periodic complementary property can be constructed with our method.
