New 64-QAM Golay Complementary Sequences

Author

Chang, Chung-Yi ; Li, Ying ; Hirata, Jonathan

Author_Institution

Commun. Eng. Dept., Yuan Ze Univ., Taoyuan, Taiwan

Volume

56

Issue

5

fYear

2010

fDate

5/1/2010 12:00:00 AM

Firstpage

2479

Lastpage

2485

Abstract

A construction of 64-QAM Golay complementary sequences was proposed by Lee and Golomb, where three QPSK Golay-Davis-Jedwab complementary sequences (GDJ sequences, or standard Golay sequences) related by a pair of offsets were combined to form each 64-QAM Golay sequence. Feasible offset pairs were given as first order generalized Boolean functions in algebraic normal form. New offset pairs were described in a conjecture of Li, leading to new 64-QAM Golay complementary sequences. The proof of the conjecture is presented.

Keywords

Boolean functions; Golay codes; quadrature amplitude modulation; quadrature phase shift keying; 64-QAM Golay complementary sequences; Boolean functions; QPSK Golay-Davis-Jedwab complementary sequences; algebraic normal form; offset pairs; quadrature amplitude modulation; quadrature phase shift keying; Autocorrelation; Boolean functions; Councils; Delay; Frequency division multiplexing; Mathematics; OFDM; Polynomials; Quadrature amplitude modulation; Quadrature phase shift keying; Golay complementary sequences; Golay–Davis–Jedwab (GDJ) sequences; orthogonal frequency-division multiplexing (OFDM); quadrature amplitude modulation (QAM); standard Golay sequences;

fLanguage

English

Journal_Title

Information Theory, IEEE Transactions on

Publisher

ieee

ISSN

0018-9448

Type

jour

DOI

10.1109/TIT.2010.2043871

Filename

5452212