单位四元数上的完全序列与阵列
Perfect Sequences and Arrays over the Unit Quaternions
摘要：
本文介绍了单位四元数上完美周期自相关序列和阵列的几种新构造。本文用数学证明和计算机实验相结合的方法证明了有界阵列结构具有理想的周期自相关性。此外，第一序列构造生成具有良好ZCZ的无限长度的奇完美序列。
英文摘要：
We introduce several new constructions for perfect periodic autocorrelation sequences and arrays over the unit quaternions. This paper uses both mathematical proofs and com- puter experiments to prove the (bounded) array constructions have perfect periodic auto- correlation. Furthermore, the first sequence construction generates odd-perfect sequences of unbounded lengths, with good ZCZ.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
