A New Construction of QAM Golay Complementary Sequence Pair

被引：0
|
作者：
Wang, Zilong [1 ]
Xue, Erzhong [1 ]
Gong, Guang [2 ]
机构：
[1] Xidian Univ, State Key Lab Integrated Serv Networks, Xian 710071, Peoples R China
[2] Univ Waterloo, Dept Elect & Comp Engn, Waterloo, ON N2L 3G1, Canada
来源：
2020 IEEE INTERNATIONAL SYMPOSIUM ON INFORMATION THEORY (ISIT) | 2020年
关键词：
REED-MULLER CODES; POWER-CONTROL; OFDM;
D O I：
10.1109/isit44484.2020.9174007
中图分类号：
TP301 [理论、方法];
学科分类号：
081202 ;
摘要：
The previous constructions of quadrature amplitude modulation (QAM) Golay complementary sequences (GCSs) were generalized as 4(q)-QAM GCSs of length 2(m) by Li (the generalized cases I -III for q >= 2) in 2010 and Liu (the generalized cases IVV for q >= 3) in 2013 respectively. Those sequences are given by the weighted sum of q quaternary standard GCSs, which is represented as q -dimensional vectorial generalized Boolean functions (V-GBFs). In this paper, we present a new construction for 4q-QAM GCSs of length 2m. The new construction includes the generalized cases I -III as special cases. If q is a composite number, a great number of new GCSs other than the sequences in the generalized cases I -V will arise. For the cases q = 4 and q = 6, we show that the ratios of the number of new GCSs and the generalized cases I -V are greater than seven and six respectively if m is large enough.
引用
收藏
页码：269 / 273
页数：5
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