Abstract
Abstract
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.
| Original language | English |
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| Title of host publication | Signal Design and its Applications in Communications |
| Editors | Pingzhi Fan, Naoki Suehiro |
| Place of Publication | Fukuoka Japan |
| Publisher | IEEE, Institute of Electrical and Electronics Engineers |
| Pages | 8 - 11 |
| Number of pages | 4 |
| ISBN (Print) | 9781424443796 |
| Publication status | Published - 2009 |
| Event | International Workshop on Signal Design and its Applications in Communications (IWSDA) 2009 - Fukuoka Japan, Fukuoka Japan Duration: 1 Jan 2009 → … |
Conference
| Conference | International Workshop on Signal Design and its Applications in Communications (IWSDA) 2009 |
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| City | Fukuoka Japan |
| Period | 1/01/09 → … |