2020 IEEE International Symposium
on Information Theory
21-26 June 2020 • Los Angeles, California, USA
| Paper ID | C.1.3 | ||
| Paper Title | A New Construction of QAM Golay Complementary Sequence Pair | ||
| Authors | Zilong Wang, Erzhong Xue, Xidian University, China; Guang Gong, University of Waterloo, Canada | ||
| Session | C.1: Coding for Communications I | ||
| Presentation | Lecture | ||
| Track | Coding for Communications | ||
| Manuscript | Click here to download the manuscript | ||
| Virtual Presentation | Click here to watch in the Virtual Symposium | ||
| Abstract | 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 (generalized cases I-III for q>= 2) in 2010 and Liu (generalized cases IV-V for q>=3) in 2013 respectively. The results can be given by weighted sum of q quadrature phase shift keying (QPSK) standard GCSs, which is represented as q-dimensional vectorial generalized Boolean functions (V-GBFs) in this paper. In line with their work, an extended construction of 4^q-QAM GCSs of length 2^m is proposed, including generalized cases I-III as special cases. If q is a composite number, a great number of new GCSs other than sequences in generalized cases I-V will arise. For the cases q=4 and q=6, 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. | ||
Plan Ahead
2021 IEEE International Symposium on Information Theory
11-16 July 2021 | Melbourne, Victoria, Australia
