Lower bounds on the aperiodic Hamming correlation of low hit zone frequency hopping sequence sets with gaps

被引：0

作者：

Yang, Shifu ^{[1
]}

Xu, Zhe ^{[1
]}

Jiang, Kaichuang ^{[1
]}

Liu, Xing ^{[2
]}

机构：

[1] Shanghai Acad Spaceflight Technol, Shanghai Radio Equipment Res Inst, Shanghai 201109, Peoples R China

[2] Sichuan Univ, Coll Elect Engn, Chengdu 610065, Peoples R China

来源：

CRYPTOGRAPHY AND COMMUNICATIONS-DISCRETE-STRUCTURES BOOLEAN FUNCTIONS AND SEQUENCES | 2025年

关键词：

Aperiodic Hamming correlation; Low hit zone; Theoretical bounds; Frequency hopping spread spectrum;

D O I：

10.1007/s12095-025-00817-3

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

Frequency hopping (FH) communication is widely employed in anti-jamming scenarios due to its robustness against interference. Traditional optimal frequency hopping sequence (FHS) sets optimized for periodic Hamming correlation increasingly struggle to meet the demands of modern communication systems. In contrast, FHS sets characterized by aperiodic Hamming correlation (AHC), low hit zone (LHZ), and frequency-hopping gaps have emerged as critical research targets. This paper establishes novel lower bounds on the AHC of LHZ-FHS sets with gaps, which, to the best of our knowledge, represent the first such theoretical results in the literature.

引用

页数：16

共 21 条

[1] Sets of Frequency Hopping Sequences: Bounds and Optimal Constructions [J].

Ding, Cunsheng ;

Fuji-Hara, Ryoh ;

Fujiwara, Yuichiro ;

Jimbo, Masakazu ;

Mishima, Miwako .

IEEE TRANSACTIONS ON INFORMATION THEORY, 2009, 55 (07) :3297-3304

[2] New family of hopping sequences for time/frequency-hopping CDMA systems [J].

Fan, PZ ;

Lee, MH ;

Peng, DY .

IEEE TRANSACTIONS ON WIRELESS COMMUNICATIONS, 2005, 4 (06) :2836-2842

[3] THEORY AND APPLICATIONS OF Q-ARY INTERLEAVED SEQUENCES [J].

GONG, G .

IEEE TRANSACTIONS ON INFORMATION THEORY, 1995, 41 (02) :400-411

[4] New lower bounds on the aperiodic Hamming correlations of frequency hopping sequences with low hit zone [J].

Han, Hongyu ;

Peng, Daiyuan ;

Liu, Xing .

DESIGNS CODES AND CRYPTOGRAPHY, 2015, 75 (01) :157-174

[5] TIME-HOPPING AND FREQUENCY-HOPPING MULTIPLE-ACCESS PACKET COMMUNICATIONS [J].

LAM, AW ;

SARWATE, DV .

IEEE TRANSACTIONS ON COMMUNICATIONS, 1990, 38 (06) :875-888

[6] Constructions of Optimal Uniform Wide-Gap Frequency-Hopping Sequences [J].

Li, Peihua ;

Fan, Cuiling ;

Mesnager, Sihem ;

Yang, Yang ;

Zhou, Zhengchun .

IEEE TRANSACTIONS ON INFORMATION THEORY, 2022, 68 (01) :692-700

[7] New Bounds on the Partial Hamming Correlation of Wide-Gap Frequency-Hopping Sequence Sets With Low Hit Zone [J].

Li, Peihua ;

Fan, Cuiling ;

Yang, Yang .

IEEE ACCESS, 2019, 7 :167409-167419

[8] New Bounds on Wide-Gap Frequency-Hopping Sequences [J].

Li, Peihua ;

Fan, Cuiling ;

Yang, Yang ;

Wang, Yong .

IEEE COMMUNICATIONS LETTERS, 2019, 23 (06) :1050-1053

[9] Low-hit-zone frequency hopping sequence sets under aperiodic Hamming correlation (Jan, 10.1007/s12095-023-00691-x, 2024) [J].

Liu, Xing .

CRYPTOGRAPHY AND COMMUNICATIONS-DISCRETE-STRUCTURES BOOLEAN FUNCTIONS AND SEQUENCES, 2024, 16 (03) :647-647

[10] SETS OF FREQUENCY HOPPING SEQUENCES UNDER APERIODIC HAMMING CORRELATION: UPPER BOUND AND OPTIMAL CONSTRUCTIONS [J].

Liu, Xing ;

Peng, Daiyuan .

ADVANCES IN MATHEMATICS OF COMMUNICATIONS, 2014, 8 (03) :359-373

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