Perfect Sequences over the Real Quaternions

被引：0

作者：

Kuznetsov, Oleg ^{[1
]}

机构：

[1] Monash Univ, Melbourne, Vic 3004, Australia

来源：

IWSDA'09: PROCEEDINGS OF THE FOURTH INTERNATIONAL WORKSHOP ON SIGNAL DESIGN AND ITS APPLICATIONS IN COMMUNICATIONS | 2009年

关键词：

quaternion; perfect sequence; right autocorrelation; right perfect;

D O I：

暂无

中图分类号：

TP3 [计算技术、计算机技术];

学科分类号：

0812 ;

摘要：

In this paper, perfect sequences over real quaternions are considered. Definitions for the right and left periodic autocorrelation functions are given, and right and left perfect sequences introduced. It is shown that the right (left) perfection of any sequence implies the left (right) perfection, so concepts of right and left perfect sequences over the real quaternions are equivalent. Unitary transformations of the quaternion space H are then considered. Using the equivalence of the right and left perfection, it is proved that unitary transformations of the quaternion space 'respect' perfection of a sequence. Consequently, any symmetry transformation of the alphabet preserves perfection of a sequence.

引用

页码：8 / 11

页数：4