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Design of secure digital communication systems using chaotic modulation, cryptography and chaotic synchronization

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  • Chien, Tsun-I
  • Liao, Teh-Lu

Abstract

This paper presents a secure digital communication system based on chaotic modulation, cryptography, and chaotic synchronization techniques. The proposed system consists of a Chaotic Modulator (CM), a Chaotic Secure Transmitter (CST), a Chaotic Secure Receiver (CSR) and a Chaotic Demodulator (CDM). The CM module incorporates a chaotic system and a novel Chaotic Differential Peaks Keying (CDPK) modulation scheme to generate analog patterns corresponding to the input digital bits. The CST and CSR modules are designed such that a single scalar signal is transmitted in the public channel. Furthermore, by giving certain structural conditions of a particular class of chaotic system, the CST and the nonlinear observer-based CSR with an appropriate observer gain are constructed to synchronize with each other. These two slave systems are driven simultaneously by the transmitted signal and are designed to synchronize and generate appropriate cryptography keys for encryption and decryption purposes. In the CDM module, a nonlinear observer is designed to estimate the chaotic modulating system in the CM. A demodulation mechanism is then applied to decode the transmitted input digital bits. The effectiveness of the proposed scheme is demonstrated through the numerical simulation of an illustrative communication system. Synchronization between the chaotic circuits of the transmitter and receiver modules is guaranteed through the Lyapunov stability theorem. Finally, the security features of the proposed system in the event of attack by an intruder in either the time domain or the frequency domain are discussed.

Suggested Citation

  • Chien, Tsun-I & Liao, Teh-Lu, 2005. "Design of secure digital communication systems using chaotic modulation, cryptography and chaotic synchronization," Chaos, Solitons & Fractals, Elsevier, vol. 24(1), pages 241-255.
    • Handle: RePEc:eee:chsofr:v:24:y:2005:i:1:p:241-255
    DOI: 10.1016/j.chaos.2004.09.009
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    Cited by:

    1. Jiri Petrzela, 2022. "Chaos in Analog Electronic Circuits: Comprehensive Review, Solved Problems, Open Topics and Small Example," Mathematics, MDPI, vol. 10(21), pages 1-28, November.
    2. Sun, Yeong-Jeu, 2009. "Robust tracking control of uncertain Duffing–Holmes control systems," Chaos, Solitons & Fractals, Elsevier, vol. 40(3), pages 1282-1287.
    3. Sun, Yeong-Jeu, 2009. "An exponential observer for the generalized Rossler chaotic system," Chaos, Solitons & Fractals, Elsevier, vol. 40(5), pages 2457-2461.
    4. Ge, Zheng-Ming & Lin, Guo-Hua, 2007. "The complete, lag and anticipated synchronization of a BLDCM chaotic system," Chaos, Solitons & Fractals, Elsevier, vol. 34(3), pages 740-764.
    5. Banerjee, Santo, 2009. "Synchronization of time-delayed systems with chaotic modulation and cryptography," Chaos, Solitons & Fractals, Elsevier, vol. 42(2), pages 745-750.
    6. Kılıç, Recai & Saraçoğlu, Ö. Galip & Yıldırım, Fatma, 2007. "Experimental observations of EMI effects in autonomous Chua’s chaotic circuit," Chaos, Solitons & Fractals, Elsevier, vol. 32(3), pages 1168-1177.
    7. Eisencraft, Marcio & Baccalá, Luiz Antonio, 2008. "The Cramer-Rao bound for initial conditions estimation of chaotic orbits," Chaos, Solitons & Fractals, Elsevier, vol. 38(1), pages 132-139.
    8. Gao, Haojiang & Zhang, Yisheng & Liang, Shuyun & Li, Dequn, 2006. "A new chaotic algorithm for image encryption," Chaos, Solitons & Fractals, Elsevier, vol. 29(2), pages 393-399.
    9. Shang, Li-Jen & Shyu, Kuo-Kai, 2009. "A method for extracting chaotic signal from noisy environment," Chaos, Solitons & Fractals, Elsevier, vol. 42(2), pages 1120-1125.
    10. Lin, Shih-Lin & Tung, Pi-Cheng, 2009. "A new method for chaos control in communication systems," Chaos, Solitons & Fractals, Elsevier, vol. 42(5), pages 3234-3241.
    11. Wafaa S. Sayed & Moheb M. R. Henein & Salwa K. Abd-El-Hafiz & Ahmed G. Radwan, 2017. "Generalized Dynamic Switched Synchronization between Combinations of Fractional-Order Chaotic Systems," Complexity, Hindawi, vol. 2017, pages 1-17, February.
    12. Zhao, Ming-Chao & Li, Ke-Zan & Fu, Xin-Chu, 2009. "Modified one-way coupled map lattices as communication cryptosystems," Chaos, Solitons & Fractals, Elsevier, vol. 42(1), pages 286-290.
    13. Sun, Yeong-Jeu, 2009. "A simple observer of the generalized Chen chaotic systems," Chaos, Solitons & Fractals, Elsevier, vol. 39(4), pages 1641-1644.
    14. Kumar, Ankit & Das, Subir & Yadav, Vijay K. & Rajeev,, 2021. "Global quasi-synchronization of complex-valued recurrent neural networks with time-varying delay and interaction terms," Chaos, Solitons & Fractals, Elsevier, vol. 152(C).
    15. Sun, Yeong-Jeu, 2009. "On the state reconstructor design for a class of chaotic systems," Chaos, Solitons & Fractals, Elsevier, vol. 40(2), pages 815-820.
    16. Sun, Yeong-Jeu, 2009. "Solution bounds of generalized Lorenz chaotic systems," Chaos, Solitons & Fractals, Elsevier, vol. 40(2), pages 691-696.
    17. Hu, Hanping & Xu, Ya & Zhu, Ziqi, 2008. "A method of improving the properties of digital chaotic system," Chaos, Solitons & Fractals, Elsevier, vol. 38(2), pages 439-446.
    18. 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.
    19. Gao, Tiegang & Chen, Zengqiang, 2008. "Image encryption based on a new total shuffling algorithm," Chaos, Solitons & Fractals, Elsevier, vol. 38(1), pages 213-220.
    20. 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.
    21. Chien, Tsun-I & Hung, Yung-Ching & Liao, Teh-Lu, 2006. "A non-correlator-based digital communication system using interleaved chaotic differential peaks keying (I-CDPK) modulation and chaotic synchronization," Chaos, Solitons & Fractals, Elsevier, vol. 29(4), pages 965-977.

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