计算机科学 ›› 2024, Vol. 51 ›› Issue (5): 390-399.doi: 10.11896/jsjkx.230200169

• 信息安全 • 上一篇    下一篇

基于扰动时空混沌的三维OFDM星座加密方案

赵耿1,2, 吴锐1,2, 马英杰2, 黄思婕1,2, 董有恒2,3   

  1. 1 西安电子科技大学通信工程学院 西安 710071
    2 北京电子科技学院电子与通信工程系 北京 100070
    3 北京邮电大学网络空间安全学院 北京 100089
  • 收稿日期:2023-02-23 修回日期:2023-07-22 出版日期:2024-05-15 发布日期:2024-05-08
  • 通讯作者: 吴锐(ruiwu@stu.xidian.edu.cn)
  • 作者简介:(zg@besti.edu.cn)
  • 基金资助:
    北京高校“高精尖”学科建设项目(3201017);国家自然科学基金(61772047)

Three-dimensional OFDM Constellation Encryption Scheme Based on Perturbed Spatiotemporal Chaos

ZHAO Geng1,2, WU Rui1,2, MA Yingjie2, HUANG Sijie1,2, DONG Youheng2,3   

  1. 1 School of Telecommunication Engineering,Xidian University,Xi'an 710071,China
    2 Department of Electronic and Communication Engineering,Beijing Electronic Science and Technology Institute,Beijing 100070,China
    3 School of Cyberspace Security,Beijing University of Posts and Telecommunications,Beijing 100089,China
  • Received:2023-02-23 Revised:2023-07-22 Online:2024-05-15 Published:2024-05-08
  • About author:ZHAO Geng,born in 1964,Ph.D,professor,Ph.D supervisor His main research interests include chaotic secure communication and information secu-rity.
    WU Rui,born in 1997,postgraduate.His main research interests include communication system and chaotic secure communication.
  • Supported by:
    Sharp Subject Project Construction in Colleges and Universities in Beijing(3201017) and National Natural Science Foundation of China(61772047).

摘要: 无线通信网络的迅猛发展使得传输信息量迅速增加,这对系统的传输效率和通信安全提出了更高的要求。为满足上述要求,提出了一种基于扰动时空混沌的三维OFDM星座加密方案。首先,设计了一种反馈元胞自动机,以提高元胞自动机的周期性和伪随机性。将反馈元细胞自动机的迭代结果进行归一化后,作为扰动加入时空混沌系统中。通过分岔图、李亚普诺夫指数、回归映射分析和随机性测试,证明了添加该扰动的系统具有良好的混沌特性。其次,设计了一种新的三维16-ary星座图,将星座点之间的最小欧氏距离扩大了6.3%,并结合扰动的时空混沌系统实现了三维星座旋转的物理层调制加密。实验仿真结果表明,与其他三维16-ary星座映射旋转加密算法相比,该算法的误码率性能提高了约1 dB。此外,通过密钥空间、密钥灵敏度和统计攻击的安全分析,证明了其良好的安全性能。

关键词: OFDM, 三维映射, 星座旋转, 时空混沌系统, 初等元胞自动机

Abstract: The swift evolution of wireless communication networks has resulted in a substantial surge in transmitted information,thus imposing greater demands on system transmission efficiency and communication security.In order to fulfill these requirements,this paper proposes a 3D OFDM constellation encryption scheme based on perturbed spatiotemporal chaos.Initially,a feedback elementary cellular automaton is devised to enhance the elementary cellular automaton's periodicity and pseudo-randomness.The iterative outcomes of the feedback elementary cellular automaton are normalized and integrated into the spatiotemporal chaos system as a perturbation.It is verified that the system,after incorporating the perturbation,exhibits excellent chaotic pro-perties through bifurcation diagrams,Lyapunov exponents,regression mapping analysis,and randomness tests.Next,a novel three-dimensional 16-ary constellation map is developed to expand the minimum Euclidean distance between constellation points by 6.3%,and the perturbed spatiotemporal chaotic system is combined with the physical layer modulation encryption of the three-dimensional constellation rotation.Experimental simulation outcomes indicate that the proposed algorithm's bit error rate performance is enhanced by roughly 1 dB compared to other 3D 16-ary constellation mapping rotation encryption algorithms.Moreover,security analyses of key space,key sensitivity,and statistical attack prove the superior security performance of the proposed scheme.

Key words: Spatiotemporal Orthogonal frequency division multiplexing, Three-dimensional mapping, Constellation rotation, Spatio-temporal chaotic system, Elementary cellular automata

中图分类号: 

  • TN918.1
[1]LI G,WEN L,GONG F K,et al.Interference detection and diversity suppression algorithm of OFDM system under partial-band jamming[J].Journal on Communications,2021,42(9):194-204.
[2]HAROUN M F,GULLIVER T A.Secure OFDM with Peak-to-Average Power Ratio Reduction Using the Spectral Phase of Chaotic Signals[J].Entropy,2021,23(11):1380.
[3]IRRAM F,ALI M,NAEEM M,et al.Physical layer security for beyond 5G/6G networks:Emerging technologies and future directions[J].Journal of Network and Computer Applications,2022,206:103431.
[4]HAMAMREH J M,FURQAN H M,ARSLAN H.Classifica-tions and Applications of Physical Layer Security Tech-niques for Confidentiality:A Comprehensive Survey[J].IEEE Communications Surveys & Tutorials,2019,21(2):1773-1828.
[5]WU X F,YANG Z,LING C,et al.Artificial-Noise-Aided Physical Layer Phase Challenge-Response Authentication for Practical OFDM Transmission[J].IEEE Transactions on Wireless Communications,2016,15(10):6611-6625.
[6]LU X J,SHI Y X,LI W,et al.A Joint Physical Layer Encryption and PAPR Reduction Scheme Based on Polar Codes and Chaotic Sequences in OFDM System[J].IEEE Access,2019,7:73036-73045.
[7]YUE A,LI W,MA D T,et al.A Novel Physical Layer Encryption Algorithm Combined Latin Rectangle and Phase amplitude Mask[J].Journal of Signal Processing,2016,32(6):660-668.
[8]BANG I,KIM T.Secure Modulation Based on ConstellationMapping Obfuscation in OFDM Based TDD Systems[J].IEEE Access,2020,8:197644-197653.
[9]KANG S G.An OFDM with 3-D signal mapper and 2-D IDFT modulator[J].IEEE Communications Letters,2008,12(12):871-873.
[10]CHEN Z,LIU J,LI S,et al.New 3D 16-Ary Signal Constellations and Their Symbol Error Probabilities in AWGN and Rayleigh Fading Channels[J].Wireless Communications and Mobile Computing,2018,2018:7178631.
[11]SHI P,HUAN H,TAO R.Waveform design for higher-level 3D constellation mappings and its construction based on regular tetrahedron cells[J].Science China Information Sciences,2015,58(8):1-12.
[12]XU H,WANG Y J,WANG X S,et al.Constellation-shapedthree-dimension 14QAM mapping scheme based on regular tetrahedron cells[J].Optical Engineering,2021,60(10):106103.
[13]CHEN S X,DU W Z,FENG Y Q,et al.Quaternion Encryption Algorithm for TROFDM System[J].Journal of Data Acquisition and Processing,2021,36(6):1197-1204.
[14]LI X Q,LI W,LEI J,et al.A Novel Physical Layer Encryption Algorithm Based on Three Dimensional Constellation Rotation in OFDM System[J].Acta Electronica Sinica,2017,45(12):2873-2880.
[15]GAO S,WU R,WANG X,et al.A 3D model encryption scheme based on a cascaded chaotic system[J].Signal Processing,2023,202:108745.
[16]LIU Z,XIA T,WANG T.Dynamic analysis of fractional-order six-order discrete chaotic mapping and its application in information security[J].Optik,2023,272:170356.
[17]TONG X,LIU X,LIU J,et al.A Novel Lightweight Block Encryption Algorithm Based on Combined Chaotic S-Box[J].International Journal of Bifurcation and Chaos,2021,31(10):2150152.
[18]NING H,ZHAO G,DONG Y H,et al.Spatiotemporal chaos in two-dimensional dynamic coupled map lattices system based on elementary cellular automata[J].Nonlinear Dynamics,2022,109(3):2143-2161.
[19]DONG Y H,ZHAO G,MA Y J,et al.A novel image encryption scheme based on pseudo-random coupled map lattices with hybrid elementary cellular automata[J].Information Sciences,2022,593:121-154.
[20]NING H,ZHAO G,DONG Y H,et al.A Novel Two-Dimensional Dynamic Pseudo-Random Coupled Map Lattices System Based on Partitioned Elementary Cellular Automata[J].Applied Sciences,2022,12(23):12399.
[21]RAVICHANDRAN D,PADMAA M,RAJAGOPAL N,et al.Chaos and DNA Blended Hybrid Encryption Algorithm for Secure Image Transmission over DCT Pre-coded OFDM[J].Wireless Personal Communications,2022,129(1):703-727.
[22]SONG X,LIU B,ZHANG H,et al.Security-enhanced OFDM-PON with two-level coordinated encryption strategy at the bit-level and symbol-level[J].Optics Express,2020,28:35061.
[23]ZHANG Y Q,JIANG N,ZHAO A K,et al.Security Enhancement in Coherent OFDM Optical Transmission With Chaotic Three-Dimensional Constellation Scrambling[J].Journal of Lightwave Technology,2022,40(12):3749-3760.
[24]DONG Y H,ZHAO G,MA Y J.Two-dimensional pseudo-random coupled map lattices system based on partitioned elementary cellular automata and its dynamic properties[J].Journal on Communications,2022,43(1):71-82.
[25]WANG X,ZHAO H,FENG L,et al.High-sensitivity image encryption algorithm with random diffusion based on dynamic-coupled map lattices[J].Optics and Lasers in Engineering,2019,122:225-238.
[26]ZHANG Y,WANG X,LIU L,et al.Spatiotemporal chaos offractional order logistic equation in nonlinear coupled lattices[J].Communications in Nonlinear Science and Numerical Simulation,2017,52:52-61.
Viewed
Full text


Abstract

Cited

  Shared   
  Discussed   
No Suggested Reading articles found!