A Brief Proof of General QAM Golay Complementary Sequences in Cases I-III Constructions

2015 ◽  
Vol E98.A (10) ◽  
pp. 2203-2206 ◽  
Author(s):  
Fanxin ZENG ◽  
Zhenyu ZHANG
Keyword(s):  
Complementary Sequences ◽  
Golay Complementary Sequences

New Constructions of General QAM Golay Complementary Sequences

2013 ◽  
Vol 59 (11) ◽  
pp. 7684-7692 ◽  
Author(s):  
Zilong Liu ◽  
Ying Li ◽  
Yong Liang Guan
Keyword(s):  
Complementary Sequences ◽  
Golay Complementary Sequences

scholarly journals An Introduction to Golay Complementary Sequences

Eureka ◽  
2014 ◽  
Vol 4 (1) ◽  
pp. 40-48 ◽  
Author(s):  
Elana Kalashnikov
Keyword(s):  
The Other ◽  
Recursive Structure ◽  
Basic Properties ◽  
Complementary Sequences ◽  
Recursive Constructions ◽  
Golay Complementary Sequences ◽  
Special Case ◽  
Lower Dimensional

First, I will discuss Golay sequences as Golay himself defined them, presenting his results on their lengths and his direct and recursive constructions. I will then discuss the broadest generalization yet defined, Golay array pairs. It is fruitful to understand complementary sequences as a special case of Golay array pairs, rather than Golay array pairs simply as an extension of the more fundamental complementary sequences. First, I will discuss their basic properties, and then the ways in which they can be transformed into higher or lower dimensional arrays. Secondly, within the context of Golay array pairs, I will discuss the other main generalizations and developments, beginning with Jedwab and Davis’ non-recursive structure, which led to the division of standard and non-standard Golay sequences, both of which I will discuss. Thirdly, I will present the basic extensions of Golay sequences: Golay sets, and multiple L-shift complementary sequences.

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