Non-standard Golay Complementary Sequence Pair over QAM
Information Theory
2022-08-29 v1 math.IT
Abstract
We generalize the three-stage process for constructing and enumerating Golay array and sequence pairs given in 2008 by Frank Fiedler et al. [A multi-dimensional approach to the construction and enumeration of Golay complementary sequences, Journal of Combinatorial Theory, Series A 115 (2008) 753-776] to -QAM constellation based on para-unitary matrix method, which partly solves their open questions. Our work not only includes the main part of known results of Golay complementary sequences over -QAM based on Boolean functions and standard Golay sequence pairs over QPSK, but also generates new Golay complementary arrays (sequences) over -QAM based on non-standard Golay array pairs over QPSK.
Keywords
Cite
@article{arxiv.2208.12533,
title = {Non-standard Golay Complementary Sequence Pair over QAM},
author = {Erzhong Xue and Zilong Wang and Guang Gong},
journal= {arXiv preprint arXiv:2208.12533},
year = {2022}
}