基于Logistic-Sine-Cosine映射的混沌跳频序列构造方法及其性能分析

曹春杰; 王映麟; 孙旸; 陶虹妃; 杨皓凝; 师景铖; 戴俊浩; 孙敬张

doi:10.11959/j.issn.1000-436x.2024212

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基于Logistic-Sine-Cosine映射的混沌跳频序列构造方法及其性能分析

学术论文 | 更新时间：2025-01-08

- 基于Logistic-Sine-Cosine映射的混沌跳频序列构造方法及其性能分析
- Construction method and performance analysis of chaotic frequency-hopping sequences based on Logistic-Sine-Cosine mapping
- 通信学报 2024年45卷第Z1期页码：24-30
- 作者机构：
  
  海南大学网络空间安全学院（密码学院），海南海口 570228
- 作者简介：
  
  [ "曹春杰（1977- ），男，河北衡水人，博士，海南大学教授、博士生导师，主要研究方向为无线网络安全、区块链、人工智能安全等。" ]
  [ "王映麟（1999- ），男，黑龙江伊春人，海南大学硕士生，主要研究方向为无线网络安全。" ]
  [ "孙旸（1994- ），男，山西大同人，海南大学博士生，主要研究方向为无线网络安全。" ]
  [ "陶虹妃（1993- ），女，四川绵阳人，海南大学博士生，主要研究方向为卫星网络安全。" ]
  [ "杨皓凝（1999- ），女，山西吕梁人，海南大学硕士生，主要研究方向为无线网络安全。" ]
  [ "师景铖（1999- ），男，陕西西安人，海南大学硕士生，主要研究方向为无线通信。" ]
  [ "戴俊浩（2003- ），男，浙江衢州人，海南大学本科生，主要研究方向为无线网络安全。" ]
  [ "孙敬张（1993- ），男，海南海口人，博士，海南大学副研究员、博士生导师，主要研究方向为无线安全、深度学习、图像处理。" ]
- 基金信息：
- DOI：10.11959/j.issn.1000-436x.2024212
  中图分类号： TN914
- 收稿日期：2024-09-23，
  
  纸质出版日期：2024-10-25
- 稿件说明：
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曹春杰,王映麟,孙旸等.基于Logistic-Sine-Cosine映射的混沌跳频序列构造方法及其性能分析[J].通信学报,2024,45(Z1):24-30.

CAO Chunjie,WANG Yinglin,SUN Yang,et al.Construction method and performance analysis of chaotic frequency-hopping sequences based on Logistic-Sine-Cosine mapping[J].Journal on Communications,2024,45(Z1):24-30.
曹春杰,王映麟,孙旸等.基于Logistic-Sine-Cosine映射的混沌跳频序列构造方法及其性能分析[J].通信学报,2024,45(Z1):24-30. DOI： 10.11959/j.issn.1000-436x.2024212.

CAO Chunjie,WANG Yinglin,SUN Yang,et al.Construction method and performance analysis of chaotic frequency-hopping sequences based on Logistic-Sine-Cosine mapping[J].Journal on Communications,2024,45(Z1):24-30. DOI： 10.11959/j.issn.1000-436x.2024212.

摘要

为了解决目前混沌跳频序列的产生主要限于低维混沌映射，且存在着混沌行为有限、混沌区间不连续等问题，提出了一种新的混沌跳频序列构造方法。首先使用余弦变换法结合Logistic、Sine映射生成新的Logistic-Sine-Cosine混沌映射；然后采用中间多比特抽取法将上述映射产生的序列量化为跳频序列；最后通过实验证明，该混沌跳频序列在保持良好的平衡性、汉明相关性的前提下，有效提高了序列的随机性和复杂度，可以加强通信过程中的抗预测性和抗干扰性。

Abstract

In order to solve the problems of low dimensional chaotic mapping

limited chaotic behavior

and discontinuous chaotic interval

a new construction method of chaotic frequency-hopping sequence was proposed. First

a new Logistics-Sine-Cosine chaotic map was generated by Cosine transformation method combined with Logistic and Sine mapping. Then

the intermediate multi-bit extraction method was used to quantify the sequence generated by the mapping as a frequency-hopping sequence. Finally

experiments show that the chaotic frequency-hopping sequence can effectively improve the randomness and complexity of the sequence under the premise of maintaining good balance and Hamming correlation

and can strengthen the anti-prediction and anti-interference in the communication process.

关键词

Keywords

references

梅文华 . 跳频通信 [M ] . 北京 : 国防工业出版社 , 2005 .

MEI W H . Frequency hopping communications [M ] . Beijing : National Defense Industry Press , 2005 .

KOMULAINEN A , GRÖNKVIST J , STERNER U . Frequency-hop-coded SCB for tactical networks [C ] // Proceedings of the MILCOM 2022 - 2022 IEEE Military Communications Conference (MILCOM) . Piscataway : IEEE Press , 2022 : 247 - 252 .

WU K , ZHANG J A , HUANG X J , et al . Waveform design and accurate channel estimation for frequency-hopping MIMO radar-based communications [J ] . IEEE Transactions on Communications , 2021 , 69 ( 2 ): 1244 - 1258 .

梅文华 , 杨义先 , 周炯槃 . 跳频序列设计理论的研究进展 [J ] . 通信学报 , 2003 , 24 ( 2 ): 92 - 101 .

MEI W H , YANG Y X , ZHOU J P . Survey of theoretical bounds and practical constructions for frequency hopping sequences [J ] . Journal of China Institute of Communications , 2003 , 24 ( 2 ): 92 - 101 .

HUA Z Y , JIN F , XU B X , et al . 2D Logistic-Sine-coupling map for image encryption [J ] . Signal Processing , 2018 , 149 : 148 - 161 .

WANG Z , AHMADI A , TIAN H G , et al . Lower-dimensional simple chaotic systems with spectacular features [J ] . Chaos , Solitons & Fractals, 2023 , 169 : 113299 .

STROGATZ S H . Nonlinear dynamics and chaos: with applications to physics, biology, chemistry, and engineering [M ] . Boca Raton : CRC Press , 2018 .

CAI X M , XU W K , WANG L , et al . Towards high-data-rate noncoherent chaotic communication: a multiple-mode differential chaos shift keying system [J ] . IEEE Transactions on Wireless Communications , 2021 , 20 ( 8 ): 4888 - 4901 .

CHEN R , LI Z , SHI J , et al . High secure sequence design in frequency hopping communications [J ] . China Communications , 2019 , 16 ( 4 ): 139 - 150 .

LI P H , FAN C L , MESNAGER S , et al . Constructions of optimal uniform wide-gap frequency-hopping sequences [J ] . IEEE Transactions on Information Theory , 2022 , 68 ( 1 ): 692 - 700 .

米良 , 唐刚 . 一种混沌跳频序列构造方法 [J ] . 通信学报 , 2005 , 26 ( 12 ): 69 - 74, 80 .

MI L , TANG G . Design of frequency-hopping sequences based on chaotic map [J ] . Journal of China Institute of Communications , 2005 , 26 ( 12 ): 69 - 74, 80 .

许尧 , 戴伏生 , 王钢 . 一种宽间隔混沌跳频序列快速生成方法 [J ] . 重庆邮电大学学报(自然科学版) , 2017 , 29 ( 3 ): 320 - 326 .

XU Y , DAI F S , WANG G . Method for fast generating wide-gap chaotic frequency hopping sequences [J ] . Journal of Chongqing University of Posts and Telecommunications (Natural Science Edition) , 2017 , 29 ( 3 ): 320 - 326 .

HE Y T , ZHU L D , CHENG S X . ICST chaotic mapping for anti-prediction frequency hopping sequence generation [C ] // Proceedings of the 2023 International Symposium on Networks, Computers and Communications (ISNCC) . Piscataway : IEEE Press , 2023 : 1 - 5 .

HUANG Y , WANG J J , GU H , et al . False data injection attack detection for nuclear reactor based on chaotic time/frequency-hopping spread spectrum [J ] . Process Safety and Environmental Protection , 2023 , 176 : 841 - 851 .

AYOUB H G , ABDULRAZZAQ Z A , FATHIL A F , et al . Unveiling robust security: Chaotic maps for frequency hopping implementation in FPGA [J ] . Ain Shams Engineering Journal , 2024 , 15 ( 11 ): 103016 .

CHEN Z H , YUAN X H , YUAN Y B , et al . Parameter identification of chaotic and hyper-chaotic systems using synchronization-based parameter observer [J ] . IEEE Transactions on Circuits and Systems I: Regular Papers , 2016 , 63 ( 9 ): 1464 - 1475 .

HUA Z Y , ZHOU B H , ZHOU Y C . Sine-transform-based chaotic system with FPGA implementation [J ] . IEEE Transactions on Industrial Electronics , 2018 , 65 ( 3 ): 2557 - 2566 .

ZERAOULIA E , SPROTT J C . Robust chaos and its applications [M ] . Singapore : World Scientific , 2012 .

WANG Y L , CAO C J , LI Y F , et al . Radiofrequency fingerprint feature extraction and recognition using a coordinate attention-guided deep residual shrinkage network [C ] // Proceedings of the 2023 International Conference on Networking and Network Applications (NaNA) . Piscataway : IEEE Press , 2023 : 551 - 557 .

LI H R , CAO C J , SUN Y , et al . Deep wavelet residual attention network for radio frequency fingerprint recognition under low SNR [C ] // Proceedings of the 2023 IEEE 20th International Conference on Mobile Ad Hoc and Smart Systems (MASS) . Piscataway : IEEE Press , 2023 : 436 - 442 .

HUA Z Y , ZHOU Y C , HUANG H J . Cosine-transform-based chaotic system for image encryption [J ] . Information Sciences , 2019 , 480 : 403 - 419 .

BAO H , DING R Y , CHEN B , et al . Two-dimensional non-autonomous neuron model with parameter-controlled multi-scroll chaotic attractors [J ] . Chaos , Solitons & Fractals, 2023 , 169 : 113228 .

WANG X Y , LI Y P , JIN J . A new one-dimensional chaotic system with applications in image encryption [J ] . Chaos , Solitons & Fractals, 2020 , 139 : 110102 .

LING C , SUN S G . Chaotic frequency hopping sequences [J ] . IEEE Transactions on Communications , 1998 , 46 ( 11 ): 1433 - 1437 .

RICHMAN J S , MOORMAN J R . Physiological time-series analysis using approximate entropy and sample entropy [J ] . American Journal of Physiology Heart and Circulatory Physiology , 2000 , 278 ( 6 ): H2039 - H2049 .

李文化 , 王智顺 , 何振亚 . 用于跳频多址通信的混沌跳频码 [J ] . 通信学报 , 1996 , 17 ( 6 ): 17 - 21 .

LI W H , WANG Z S , HE Z Y . Chaotic FH codes for FH-SSMA communications [J ] . Journal on Communications , 1996 , 17 ( 6 ): 17 - 21 .

NLU X , PENG D Y , ZHOU Z C . New classes of optimal frequency hopping sequences with low hit zone with new parameters [C ] // Proceedings of the Fifth International Workshop on Signal Design and Its Applications in Communications . Piscataway : IEEE Press , 2011 : 111 - 114 .

凌聪 , 孙松庚 . 用于跳频码分多址通信的混沌跳频序列 [J ] . 电子学报 , 1999 , 27 ( 1 ): 67 - 69 .

LING C , SUN S G . Frequency-hopping sequences by chaotic maps for FH/CDMA communications [J ] . Acta Electronica Sinica , 1999 , 27 ( 1 ): 67 - 69 .

凌聪 , 孙松庚 . Logistic映射跳频序列 [J ] . 电子学报 , 1997 , 25 ( 10 ): 79 - 81 .

LING C , SUN S G . Frequency-hopping sequences by the logistic map [J ] . Acta Electronica Sinica , 1997 , 25 ( 10 ): 79 - 81 .

刘向东 , 焉德军 , 段晓东 , 等 . 中间多比特量化混沌跳频序列及其性能分析 [J ] . 微电子学与计算机 , 2004 , 21 ( 8 ): 5 - 9 .

LIU X D , YAN D J , DUAN X D , et al . A chaotic frequency hopping sequences by mid multi-bit quantified and its proper ties [J ] . Microelectronics & Computer , 2004 , 21 ( 8 ): 5 - 9 .

张家树 , 郭双冰 , 肖先赐 . 混沌跳频通信的非线性自适应预测对抗 [J ] . 信号处理 , 2001 , 17 ( 3 ): 205 - 209, 199 .

ZHANG J S , GUO S B , XIAO X C . Nonlinear adaptive predictive countermeasures of chaotic FH-SS communications [J ] . Signal Processing , 2001 , 17 ( 3 ): 205 - 209, 199 .

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