Large Sets of Binary Spreading Sequences With Low Correlation and Low PAPR via Gold Functions

被引：1

作者：

Liu, Kaiqiang ^{[1
,2
]}

Zhou, Zhengchun ^{[1
,2
]}

Adhikary, Avik Ranjan ^{[1
,2
]}

Tang, Chunming ^{[1
,2
]}

机构：

[1] Southwest Jiaotong Univ, Sch Math, Chengdu 610031, Peoples R China

[2] Xidian Univ, Sch Cyber Engn, State Key Lab Integrated Serv Networks, Xian 710071, Peoples R China

来源：

IEEE TRANSACTIONS ON INFORMATION THEORY | 2024年 / 70卷 / 07期

基金：

中国国家自然科学基金;

关键词：

Correlation; Peak to average power ratio; Gold; Boolean functions; NOMA; Galois fields; Uplink; Bent function; coherence; complementary sequences; Gold functions; grant-free access; non-orthogonal multiple access (NOMA); peak-to-average power ratio (PAPR); spreading sequence; ASYMPTOTICALLY OPTIMAL CODEBOOKS; MEAN POWER-CONTROL; REED-MULLER CODES; COMPLEX CODEBOOKS; CROSS-CORRELATION; CONSTRUCTIONS; OFDM;

D O I：

10.1109/TIT.2024.3379514

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

Gold functions are well-known for designing sequences with good correlation properties. This paper reveals a fascinating relationship between Gold functions and Golay-Davis-Jedwab (GDJ) Boolean functions to design sequences with low correlation and low PAPR, which is the first of its kind. The bent and semi-bent properties of the Gold functions are utilized to derive the correlation of the resultant binary spreading sequence sets, while the complementary properties of the GDJ Boolean functions are used to derive the low PAPR. Based on this idea we propose three new sets of binary spreading sequences with low PAPR and low correlation. The proposed sequence sets have the potential to be used as spreading sequences in non-orthogonal multiple access (NOMA). They have a very large set size, which in turn results in a high overloading factor as compared to the existing sequence sets with the same length and the same correlation, which are generated through systematic constructions.

引用

页码：5309 / 5322

页数：14

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