Perfect Sequences and Arrays over the Unit Quaternions
Information Theory
2017-01-06 v1 math.IT
Abstract
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.
Keywords
Cite
@article{arxiv.1701.01154,
title = {Perfect Sequences and Arrays over the Unit Quaternions},
author = {Sam Blake},
journal= {arXiv preprint arXiv:1701.01154},
year = {2017}
}