IDEAS home Printed from https://ideas.repec.org/a/eee/chsofr/v28y2006i1p264-270.html
   My bibliography  Save this article

Security analysis of chaotic communication systems based on Volterra–Wiener–Korenberg model

Author

Listed:
  • Lei, Min
  • Meng, Guang
  • Feng, Zhengjin

Abstract

Pseudo-randomicity is an important cryptological characteristic for proof of encryption algorithms. This paper proposes a nonlinear detecting method based on Volterra–Wiener–Korenberg model and suggests an autocorrelation function to analyze the pseudo-randomicity of chaotic secure systems under different sampling interval. The results show that: (1) the increase of the order of the chaotic transmitter will not necessarily result in a high degree of security; (2) chaotic secure systems have higher and stronger pseudo-randomicity at sparse sampling interval due to the similarity of chaotic time series to the noise; (3) Volterra–Wiener–Korenberg method can also give a further appropriate sparse sampling interval for improving the security of chaotic secure communication systems. For unmasking chaotic communication systems, the Volterra–Wiener–Korenberg technique can be applied to analyze the chaotic time series with surrogate data.

Suggested Citation

  • Lei, Min & Meng, Guang & Feng, Zhengjin, 2006. "Security analysis of chaotic communication systems based on Volterra–Wiener–Korenberg model," Chaos, Solitons & Fractals, Elsevier, vol. 28(1), pages 264-270.
  • Handle: RePEc:eee:chsofr:v:28:y:2006:i:1:p:264-270
    DOI: 10.1016/j.chaos.2005.05.040
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0960077905005357
    Download Restriction: Full text for ScienceDirect subscribers only

    File URL: https://libkey.io/10.1016/j.chaos.2005.05.040?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Xiao, Di & Liao, Xiaofeng & Wong, K.W., 2005. "An efficient entire chaos-based scheme for deniable authentication," Chaos, Solitons & Fractals, Elsevier, vol. 23(4), pages 1327-1331.
    2. Peng, Mingshu, 2005. "Rich dynamics of discrete delay ecological models," Chaos, Solitons & Fractals, Elsevier, vol. 24(5), pages 1279-1285.
    3. Chi-Sang Poon & Christopher K. Merrill, 1997. "Decrease of cardiac chaos in congestive heart failure," Nature, Nature, vol. 389(6650), pages 492-495, October.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Zhang, Yu & Sprecher, Alicia J. & Zhao, ZongXi & Jiang, Jack J., 2011. "Nonlinear detection of disordered voice productions from short time series based on a Volterra–Wiener–Korenberg model," Chaos, Solitons & Fractals, Elsevier, vol. 44(9), pages 751-758.
    2. Yang, Jiyun & Liao, Xiaofeng & Yu, Wenwu & Wong, Kwok-wo & Wei, Jun, 2009. "Cryptanalysis of a cryptographic scheme based on delayed chaotic neural networks," Chaos, Solitons & Fractals, Elsevier, vol. 40(2), pages 821-825.
    3. Zhang, Linhua, 2008. "Cryptanalysis of the public key encryption based on multiple chaotic systems," Chaos, Solitons & Fractals, Elsevier, vol. 37(3), pages 669-674.
    4. Han, S. & Chang, E. & Dillon, T. & Hwang, M. & Lee, C., 2009. "Identifying attributes and insecurity of a public-channel key exchange protocol using chaos synchronization," Chaos, Solitons & Fractals, Elsevier, vol. 40(5), pages 2569-2575.
    5. Lei, Min & Meng, Guang, 2008. "The influence of noise on nonlinear time series detection based on Volterra–Wiener–Korenberg model," Chaos, Solitons & Fractals, Elsevier, vol. 36(2), pages 512-516.
    6. Tang, Fang, 2008. "An adaptive synchronization strategy based on active control for demodulating message hidden in chaotic signals," Chaos, Solitons & Fractals, Elsevier, vol. 37(4), pages 1090-1096.
    7. Zaher, Ashraf A., 2009. "An improved chaos-based secure communication technique using a novel encryption function with an embedded cipher key," Chaos, Solitons & Fractals, Elsevier, vol. 42(5), pages 2804-2814.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Gao, Tiegang & Gu, Qiaolun & Emmanuel, Sabu, 2009. "A novel image authentication scheme based on hyper-chaotic cell neural network," Chaos, Solitons & Fractals, Elsevier, vol. 42(1), pages 548-553.
    2. Maurizio Manera, 2021. "Perspectives on Complexity, Chaos and Thermodynamics in Environmental Pathology," IJERPH, MDPI, vol. 18(11), pages 1-11, May.
    3. Behnia, S. & Akhshani, A. & Mahmodi, H. & Akhavan, A., 2008. "A novel algorithm for image encryption based on mixture of chaotic maps," Chaos, Solitons & Fractals, Elsevier, vol. 35(2), pages 408-419.
    4. Akhshani, A. & Behnia, S. & Akhavan, A. & Jafarizadeh, M.A. & Abu Hassan, H. & Hassan, Z., 2009. "Hash function based on hierarchy of 2D piecewise nonlinear chaotic maps," Chaos, Solitons & Fractals, Elsevier, vol. 42(4), pages 2405-2412.
    5. Saul Hazledine & Jongho Sun & Derin Wysham & J Allan Downie & Giles E D Oldroyd & Richard J Morris, 2009. "Nonlinear Time Series Analysis of Nodulation Factor Induced Calcium Oscillations: Evidence for Deterministic Chaos?," PLOS ONE, Public Library of Science, vol. 4(8), pages 1-10, August.
    6. Khan, Muhammad Khurram & Zhang, Jiashu & Wang, Xiaomin, 2008. "Chaotic hash-based fingerprint biometric remote user authentication scheme on mobile devices," Chaos, Solitons & Fractals, Elsevier, vol. 35(3), pages 519-524.
    7. Peng, Mingshu & Yuan, Yuan, 2008. "Complex dynamics in discrete delayed models with D4 symmetry," Chaos, Solitons & Fractals, Elsevier, vol. 37(2), pages 393-408.
    8. Sun, Huijing & Cao, Hongjun, 2007. "Bifurcations and chaos of a delayed ecological model," Chaos, Solitons & Fractals, Elsevier, vol. 33(4), pages 1383-1393.
    9. Yang, Xiaozhong & Peng, Mingshu & Hu, Jiping & Jiang, Xiaoxia, 2009. "Bubbling phenomenon in a discrete economic model for the interaction of demand and supply," Chaos, Solitons & Fractals, Elsevier, vol. 42(3), pages 1428-1438.
    10. Mukherjee, Sayan & Banerjee, Santo & Rondoni, Lamberto, 2018. "Dispersive graded entropy on computing dynamical complexity," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 508(C), pages 131-140.
    11. Zhang, Yu & Sprecher, Alicia J. & Zhao, ZongXi & Jiang, Jack J., 2011. "Nonlinear detection of disordered voice productions from short time series based on a Volterra–Wiener–Korenberg model," Chaos, Solitons & Fractals, Elsevier, vol. 44(9), pages 751-758.
    12. Gaetano Valenza & Luca Citi & Riccardo Barbieri, 2014. "Estimation of Instantaneous Complex Dynamics through Lyapunov Exponents: A Study on Heartbeat Dynamics," PLOS ONE, Public Library of Science, vol. 9(8), pages 1-17, August.
    13. Bhaduri, Anirban & Bhaduri, Susmita & Ghosh, Dipak, 2017. "Visibility graph analysis of heart rate time series and bio-marker of congestive heart failure," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 482(C), pages 786-795.
    14. Sviridova, Nina & Sakai, Kenshi, 2015. "Human photoplethysmogram: new insight into chaotic characteristics," Chaos, Solitons & Fractals, Elsevier, vol. 77(C), pages 53-63.
    15. Kanso, Ali & Smaoui, Nejib, 2009. "Logistic chaotic maps for binary numbers generations," Chaos, Solitons & Fractals, Elsevier, vol. 40(5), pages 2557-2568.
    16. Han, Song, 2008. "Security of a key agreement protocol based on chaotic maps," Chaos, Solitons & Fractals, Elsevier, vol. 38(3), pages 764-768.
    17. Thuraisingham, Ranjit A. & Gottwald, Georg A., 2006. "On multiscale entropy analysis for physiological data," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 366(C), pages 323-332.
    18. Liu, Xilin & Tong, Xiaojun & Wang, Zhu & Zhang, Miao, 2022. "A new n-dimensional conservative chaos based on Generalized Hamiltonian System and its’ applications in image encryption," Chaos, Solitons & Fractals, Elsevier, vol. 154(C).
    19. Yan, Bo & Palit, Sanjay K. & Mukherjee, Sayan & Banerjee, Santo, 2019. "Signature of complexity in time–frequency domain," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 535(C).
    20. Wu, Xin & Shi, Hang & Ji’e, Musha & Duan, Shukai & Wang, Lidan, 2023. "A novel image compression and encryption scheme based on conservative chaotic system and DNA method," Chaos, Solitons & Fractals, Elsevier, vol. 172(C).

    More about this item

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:chsofr:v:28:y:2006:i:1:p:264-270. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Thayer, Thomas R. (email available below). General contact details of provider: https://www.journals.elsevier.com/chaos-solitons-and-fractals .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.