Research Article
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Implementation of a Real Time Analog Secure Image Communication System via a Chaotic Circuit

Year 2019, Volume: 22 Issue: 4, 1083 - 1092, 01.12.2019

Aybaba Hancerliogulları , Khaled Mohamed El Hadad , Erol Kurt

https://doi.org/10.2339/politeknik.557289
Cited By: 1

Abstract

A new secure image communication system has been
designed and implemented based on a synchronized chaotic circuit. The new
chaotic circuit, which has recently proposed by one of the authors contains a
resistor, two inductors, and two diodes (i.e. R2L2D). The synchronization part
operates with a master – slave configuration. In order to achieve the real-time
communication, initially the analog master circuit has been implemented to
generate chaotic sequences of numbers. Then, that analog tool has been transmitted
to a computer via an analog/digital converter and a hidden image has been
obtained. Besides, the slave circuit has also received a copy of that chaotic
sequences in order to use it in subtraction process of image gray levels. The
digital chaotic image has been transmitted to the slave circuit via a
digital/analog converter with an efficient method and the decrypted image has
been obtained in real-time. The advantage of that technique over the
conversional ones is that it does not require any saved copy of the digital
data, even for sending them in gray images to the receiver, since it is
real-time. The conventional techniques use the stored and processed data and
that can cause security problems in today’s advanced web media. Thus to send
the encrypted image in a real-time device by using an analog chaotic equipment
has certain security superiority. The analyses on the preliminary decrypted
images proves that the process is efficient in time and secure.

Keywords

Secure communication analog chaotic circuit image encryption decryption

References

  • Murali, K., M. Lakshmanan, and L.O. Chua, The simplest dissipative nonautonomous chaotic circuit. IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications, 1994. 41(6): p. 462-463.2. Kurt, E., S. Acar, and R. Kasap, A comparison of chaotic circuits from a statistical approach. Mathematical and Computational Applications, 2000. 5(2): p. 95-103.3. Adak, S., Cangi, H. and Yılmaz, A.S., Design of an LLCL type filter for stand-alone PV systems’ harmonics, Journal of Energy Systems, 2019; 3(1): 36-50, DOI: 10.30521/jes.5060764. Kiers, K., D. Schmidt, and J.C. Sprott, Precision measurements of a simple chaotic circuit. American Journal of Physics, 2004. 72(4): p. 503-509.5. Linsay, P.S., Period doubling and chaotic behavior in a driven anharmonic oscillator. Physical Review Letters, 1981. 47(19): p. 1349.6. Kurt, E., Nonlinearities from a non-autonomous chaotic circuit with a non-autonomous model of Chua's diode. Physica Scripta, 2006. 74(1): p. 22.7. Hanias, M., Z. Avgerinos, and G. Tombras, Period doubling, Feigenbaum constant and time series prediction in an experimental chaotic RLD circuit. Chaos, Solitons & Fractals, 2009. 40(3): p. 1050-1059.8. Andreatos, A.S. and C.K. Volos. Secure text encryption based on hardware chaotic noise generator. in 2nd International Conference on Cryptography and Its Applications in the Armed Forces. 2014.9. Feki, M., An adaptive chaos synchronization scheme applied to secure communication. Chaos, Solitons & Fractals, 2003. 18(1): p. 141-148.10. Cuomo, K.M., A.V. Oppenheim, and S.H. Strogatz, Synchronization of Lorenz-based chaotic circuits with applications to communications. IEEE Transactions on circuits and systems II: Analog and digital signal processing, 1993. 40(10): p. 626-633.11. Mu, X. and L. Pei, Synchronization of the near-identical chaotic systems with the unknown parameters. Applied Mathematical Modelling, 2010. 34(7): p. 1788-1797.12. Yang, T., A survey of chaotic secure communication systems. International Journal of Computational Cognition, 2004. 2(2): p. 81-130.13. Bourbakis, N. and C. Alexopoulos, Picture data encryption using scan patterns. Pattern Recognition, 1992. 25(6): p. 567-581.14. Pisarchik, A. and M. Zanin, Image encryption with chaotically coupled chaotic maps. Physica D: Nonlinear Phenomena, 2008. 237(20): p. 2638-2648.15. Xiangdong, L., et al., Image scrambling algorithm based on chaos theory and sorting transformation. IJCSNS International Journal of Computer Science and Network Security, 2008. 8(1): p. 64-68.16. Hu, J. and F. Han, A pixel-based scrambling scheme for digital medical images protection. Journal of Network and Computer Applications, 2009. 32(4): p. 788-794.17. Tong, X. and M. Cui, Image encryption scheme based on 3D baker with dynamical compound chaotic sequence cipher generator. Signal processing, 2009. 89(4): p. 480-491.18. Fridrich, J., Symmetric ciphers based on two-dimensional chaotic maps. International Journal of Bifurcation and chaos, 1998. 8(06): p. 1259-1284.19. Gao, H., et al., A new chaotic algorithm for image encryption. Chaos, Solitons & Fractals, 2006. 29(2): p. 393-399.20. Rulkov, N.F., et al., Generalized synchronization of chaos in directionally coupled chaotic systems. Physical Review E, 1995. 51(2): p. 980.21. Zhou, Q., et al., Parallel image encryption algorithm based on discretized chaotic map. Chaos, Solitons & Fractals, 2008. 38(4): p. 1081-1092.22. Shelke, F.M., A.A. Dongre, and P.D. Soni, Comparison of different techniques for Steganography in images.23. Celik, K. and E. Kurt. A new image encryption algorithm based on lorenz system. in Electronics, Computers and Artificial Intelligence (ECAI), 2016 8th International Conference on. 2016. IEEE.24. Kurt, E. and C. Bingol, A New Sweep Up/Down Phenomenon between the Chaotic and Regular Regions in a New R2L2D Circuit, page: 305-310. Politeknik Dergisi, 2016. 19(3).25. Pecora, L.M. and T.L. Carroll, Synchronization in chaotic systems. Physical review letters, 1990. 64(8): p. 821.26. Wu, C.W. and L.O. Chua, A simple way to synchronize chaotic systems with applications to secure communication systems. International Journal of Bifurcation and Chaos, 1993. 3(06): p. 1619-1627.27. Yang, T. and L.O. Chua, Secure communication via chaotic parameter modulation. IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications, 1996. 43(9): p. 817-819.28. Yau, H.-T. and J.-J. Yan, Chaos synchronization of different chaotic systems subjected to input nonlinearity. Applied Mathematics and Computation, 2008. 197(2): p. 775-788.29. Kurt, E. and C. Bingol, Exploration of Synchronization Secure Communication and Signal Recovery in New R2L2D Circuit, 58th Int. Sci. Conf. Riga Tech. Uni. Power and Elec. Eng. RTUCON2017, 12-13 Oct. 2017, Riga, Latvia.30. Hendriks, P., Specifying communications dacs. IEEE spectrum, 1997. 34(7): p. 58-69.
  • Kurt, E., S. Acar, and R. Kasap, A comparison of chaotic circuits from a statistical approach. Mathematical and Computational Applications, 2000. 5(2): p. 95-103.
  • Adak, S., Cangi, H. and Yılmaz, A.S., Design of an LLCL type filter for stand-alone PV systems’ harmonics, Journal of Energy Systems, 2019; 3(1): 36-50,
  • Kiers, K., D. Schmidt, and J.C. Sprott, Precision measurements of a simple chaotic circuit. American Journal of Physics, 2004. 72(4): p. 503-509.
  • Linsay, P.S., Period doubling and chaotic behavior in a driven anharmonic oscillator. Physical Review Letters, 1981. 47(19): p. 1349.
  • Kurt, E., Nonlinearities from a non-autonomous chaotic circuit with a non-autonomous model of Chua's diode. Physica Scripta, 2006. 74(1): p. 22.
  • Hanias, M., Z. Avgerinos, and G. Tombras, Period doubling, Feigenbaum constant and time series prediction in an experimental chaotic RLD circuit. Chaos, Solitons & Fractals, 2009. 40(3): p. 1050-1059.
  • Andreatos, A.S. and C.K. Volos. Secure text encryption based on hardware chaotic noise generator. in 2nd International Conference on Cryptography and Its Applications in the Armed Forces. 2014.
  • Feki, M., An adaptive chaos synchronization scheme applied to secure communication. Chaos, Solitons & Fractals, 2003. 18(1): p. 141-148.
  • Cuomo, K.M., A.V. Oppenheim, and S.H. Strogatz, Synchronization of Lorenz-based chaotic circuits with applications to communications. IEEE Transactions on circuits and systems II: Analog and digital signal processing, 1993. 40(10): p. 626-633.
  • Mu, X. and L. Pei, Synchronization of the near-identical chaotic systems with the unknown parameters. Applied Mathematical Modelling, 2010. 34(7): p. 1788-1797.
  • Yang, T., A survey of chaotic secure communication systems. International Journal of Computational Cognition, 2004. 2(2): p. 81-130.
  • Hu, J. and F. Han, A pixel-based scrambling scheme for digital medical images protection. Journal of Network and Computer Applications, 2009. 32(4): p. 788-794.
  • Pisarchik, A. and M. Zanin, Image encryption with chaotically coupled chaotic maps. Physica D: Nonlinear Phenomena, 2008. 237(20): p. 2638-2648.
  • Xiangdong, L., et al., Image scrambling algorithm based on chaos theory and sorting transformation. IJCSNS International Journal of Computer Science and Network Security, 2008. 8(1): p. 64-68.
  • Tong, X. and M. Cui, Image encryption scheme based on 3D baker with dynamical compound chaotic sequence cipher generator. Signal processing, 2009. 89(4): p. 480-491.
  • Fridrich, J., Symmetric ciphers based on two-dimensional chaotic maps. International Journal of Bifurcation and chaos, 1998. 8(06): p. 1259-1284.
  • Gao, H., et al., A new chaotic algorithm for image encryption. Chaos, Solitons & Fractals, 2006. 29(2): p. 393-399.
  • Rulkov, N.F., et al., Generalized synchronization of chaos in directionally coupled chaotic systems. Physical Review E, 1995. 51(2): p. 980.
  • Zhou, Q., et al., Parallel image encryption algorithm based on discretized chaotic map. Chaos, Solitons & Fractals, 2008. 38(4): p. 1081-1092.
  • Shelke, F.M., A.A. Dongre, and P.D. Soni, Comparison of different techniques for Steganography in images.
  • Celik, K. and E. Kurt. A new image encryption algorithm based on lorenz system. in Electronics, Computers and Artificial Intelligence (ECAI), 2016 8th International Conference on. 2016.
  • Kurt, E. and C. Bingol, A New Sweep Up/Down Phenomenon between the Chaotic and Regular Regions in a New R2L2D Circuit, page: 305-310. Politeknik Dergisi, 2016. 19(3).
  • Pecora, L.M. and T.L. Carroll, Synchronization in chaotic systems. Physical review letters, 1990. 64(8): p. 821.
  • Wu, C.W. and L.O. Chua, A simple way to synchronize chaotic systems with applications to secure communication systems. International Journal of Bifurcation and Chaos, 1993. 3(06): p. 1619-1627.
  • Yang, T. and L.O. Chua, Secure communication via chaotic parameter modulation. IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications, 1996. 43(9): p. 817-819.
  • Yau, H.-T. and J.-J. Yan, Chaos synchronization of different chaotic systems subjected to input nonlinearity. Applied Mathematics and Computation, 2008. 197(2): p. 775-788.
  • Kurt, E. and C. Bingol, Exploration of Synchronization Secure Communication and Signal Recovery in New R2L2D Circuit, 58th Int. Sci. Conf. Riga Tech. Uni. Power and Elec. Eng. RTUCON2017, 12-13 Oct. 2017, Riga, Latvia.
  • Hendriks, P., Specifying communications dacs. IEEE spectrum, 1997. 34(7): p. 58-69.

Implementation of a Real Time Analog Secure Image Communication System via a Chaotic Circuit

Year 2019, Volume: 22 Issue: 4, 1083 - 1092, 01.12.2019

Aybaba Hancerliogulları , Khaled Mohamed El Hadad , Erol Kurt

https://doi.org/10.2339/politeknik.557289
Cited By: 1

Abstract

A new secure image communication system has been
designed and implemented based on a synchronized chaotic circuit. The new
chaotic circuit, which has recently proposed by one of the authors contains a
resistor, two inductors, and two diodes (i.e. R2L2D). The synchronization part
operates with a master – slave configuration. In order to achieve the real-time
communication, initially the analog master circuit has been implemented to
generate chaotic sequences of numbers. Then, that analog tool has been transmitted
to a computer via an analog/digital converter and a hidden image has been
obtained. Besides, the slave circuit has also received a copy of that chaotic
sequences in order to use it in subtraction process of image gray levels. The
digital chaotic image has been transmitted to the slave circuit via a
digital/analog converter with an efficient method and the decrypted image has
been obtained in real-time. The advantage of that technique over the
conversional ones is that it does not require any saved copy of the digital
data, even for sending them in gray images to the receiver, since it is
real-time. The conventional techniques use the stored and processed data and
that can cause security problems in today’s advanced web media. Thus to send
the encrypted image in a real-time device by using an analog chaotic equipment
has certain security superiority. The analyses on the preliminary decrypted
images proves that the process is efficient in time and secure.

Keywords

Secure communication analog chaotic circuit image encryption decryption

References

  • Murali, K., M. Lakshmanan, and L.O. Chua, The simplest dissipative nonautonomous chaotic circuit. IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications, 1994. 41(6): p. 462-463.2. Kurt, E., S. Acar, and R. Kasap, A comparison of chaotic circuits from a statistical approach. Mathematical and Computational Applications, 2000. 5(2): p. 95-103.3. Adak, S., Cangi, H. and Yılmaz, A.S., Design of an LLCL type filter for stand-alone PV systems’ harmonics, Journal of Energy Systems, 2019; 3(1): 36-50, DOI: 10.30521/jes.5060764. Kiers, K., D. Schmidt, and J.C. Sprott, Precision measurements of a simple chaotic circuit. American Journal of Physics, 2004. 72(4): p. 503-509.5. Linsay, P.S., Period doubling and chaotic behavior in a driven anharmonic oscillator. Physical Review Letters, 1981. 47(19): p. 1349.6. Kurt, E., Nonlinearities from a non-autonomous chaotic circuit with a non-autonomous model of Chua's diode. Physica Scripta, 2006. 74(1): p. 22.7. Hanias, M., Z. Avgerinos, and G. Tombras, Period doubling, Feigenbaum constant and time series prediction in an experimental chaotic RLD circuit. Chaos, Solitons & Fractals, 2009. 40(3): p. 1050-1059.8. Andreatos, A.S. and C.K. Volos. Secure text encryption based on hardware chaotic noise generator. in 2nd International Conference on Cryptography and Its Applications in the Armed Forces. 2014.9. Feki, M., An adaptive chaos synchronization scheme applied to secure communication. Chaos, Solitons & Fractals, 2003. 18(1): p. 141-148.10. Cuomo, K.M., A.V. Oppenheim, and S.H. Strogatz, Synchronization of Lorenz-based chaotic circuits with applications to communications. IEEE Transactions on circuits and systems II: Analog and digital signal processing, 1993. 40(10): p. 626-633.11. Mu, X. and L. Pei, Synchronization of the near-identical chaotic systems with the unknown parameters. Applied Mathematical Modelling, 2010. 34(7): p. 1788-1797.12. Yang, T., A survey of chaotic secure communication systems. International Journal of Computational Cognition, 2004. 2(2): p. 81-130.13. Bourbakis, N. and C. Alexopoulos, Picture data encryption using scan patterns. Pattern Recognition, 1992. 25(6): p. 567-581.14. Pisarchik, A. and M. Zanin, Image encryption with chaotically coupled chaotic maps. Physica D: Nonlinear Phenomena, 2008. 237(20): p. 2638-2648.15. Xiangdong, L., et al., Image scrambling algorithm based on chaos theory and sorting transformation. IJCSNS International Journal of Computer Science and Network Security, 2008. 8(1): p. 64-68.16. Hu, J. and F. Han, A pixel-based scrambling scheme for digital medical images protection. Journal of Network and Computer Applications, 2009. 32(4): p. 788-794.17. Tong, X. and M. Cui, Image encryption scheme based on 3D baker with dynamical compound chaotic sequence cipher generator. Signal processing, 2009. 89(4): p. 480-491.18. Fridrich, J., Symmetric ciphers based on two-dimensional chaotic maps. International Journal of Bifurcation and chaos, 1998. 8(06): p. 1259-1284.19. Gao, H., et al., A new chaotic algorithm for image encryption. Chaos, Solitons & Fractals, 2006. 29(2): p. 393-399.20. Rulkov, N.F., et al., Generalized synchronization of chaos in directionally coupled chaotic systems. Physical Review E, 1995. 51(2): p. 980.21. Zhou, Q., et al., Parallel image encryption algorithm based on discretized chaotic map. Chaos, Solitons & Fractals, 2008. 38(4): p. 1081-1092.22. Shelke, F.M., A.A. Dongre, and P.D. Soni, Comparison of different techniques for Steganography in images.23. Celik, K. and E. Kurt. A new image encryption algorithm based on lorenz system. in Electronics, Computers and Artificial Intelligence (ECAI), 2016 8th International Conference on. 2016. IEEE.24. Kurt, E. and C. Bingol, A New Sweep Up/Down Phenomenon between the Chaotic and Regular Regions in a New R2L2D Circuit, page: 305-310. Politeknik Dergisi, 2016. 19(3).25. Pecora, L.M. and T.L. Carroll, Synchronization in chaotic systems. Physical review letters, 1990. 64(8): p. 821.26. Wu, C.W. and L.O. Chua, A simple way to synchronize chaotic systems with applications to secure communication systems. International Journal of Bifurcation and Chaos, 1993. 3(06): p. 1619-1627.27. Yang, T. and L.O. Chua, Secure communication via chaotic parameter modulation. IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications, 1996. 43(9): p. 817-819.28. Yau, H.-T. and J.-J. Yan, Chaos synchronization of different chaotic systems subjected to input nonlinearity. Applied Mathematics and Computation, 2008. 197(2): p. 775-788.29. Kurt, E. and C. Bingol, Exploration of Synchronization Secure Communication and Signal Recovery in New R2L2D Circuit, 58th Int. Sci. Conf. Riga Tech. Uni. Power and Elec. Eng. RTUCON2017, 12-13 Oct. 2017, Riga, Latvia.30. Hendriks, P., Specifying communications dacs. IEEE spectrum, 1997. 34(7): p. 58-69.
  • Kurt, E., S. Acar, and R. Kasap, A comparison of chaotic circuits from a statistical approach. Mathematical and Computational Applications, 2000. 5(2): p. 95-103.
  • Adak, S., Cangi, H. and Yılmaz, A.S., Design of an LLCL type filter for stand-alone PV systems’ harmonics, Journal of Energy Systems, 2019; 3(1): 36-50,
  • Kiers, K., D. Schmidt, and J.C. Sprott, Precision measurements of a simple chaotic circuit. American Journal of Physics, 2004. 72(4): p. 503-509.
  • Linsay, P.S., Period doubling and chaotic behavior in a driven anharmonic oscillator. Physical Review Letters, 1981. 47(19): p. 1349.
  • Kurt, E., Nonlinearities from a non-autonomous chaotic circuit with a non-autonomous model of Chua's diode. Physica Scripta, 2006. 74(1): p. 22.
  • Hanias, M., Z. Avgerinos, and G. Tombras, Period doubling, Feigenbaum constant and time series prediction in an experimental chaotic RLD circuit. Chaos, Solitons & Fractals, 2009. 40(3): p. 1050-1059.
  • Andreatos, A.S. and C.K. Volos. Secure text encryption based on hardware chaotic noise generator. in 2nd International Conference on Cryptography and Its Applications in the Armed Forces. 2014.
  • Feki, M., An adaptive chaos synchronization scheme applied to secure communication. Chaos, Solitons & Fractals, 2003. 18(1): p. 141-148.
  • Cuomo, K.M., A.V. Oppenheim, and S.H. Strogatz, Synchronization of Lorenz-based chaotic circuits with applications to communications. IEEE Transactions on circuits and systems II: Analog and digital signal processing, 1993. 40(10): p. 626-633.
  • Mu, X. and L. Pei, Synchronization of the near-identical chaotic systems with the unknown parameters. Applied Mathematical Modelling, 2010. 34(7): p. 1788-1797.
  • Yang, T., A survey of chaotic secure communication systems. International Journal of Computational Cognition, 2004. 2(2): p. 81-130.
  • Hu, J. and F. Han, A pixel-based scrambling scheme for digital medical images protection. Journal of Network and Computer Applications, 2009. 32(4): p. 788-794.
  • Pisarchik, A. and M. Zanin, Image encryption with chaotically coupled chaotic maps. Physica D: Nonlinear Phenomena, 2008. 237(20): p. 2638-2648.
  • Xiangdong, L., et al., Image scrambling algorithm based on chaos theory and sorting transformation. IJCSNS International Journal of Computer Science and Network Security, 2008. 8(1): p. 64-68.
  • Tong, X. and M. Cui, Image encryption scheme based on 3D baker with dynamical compound chaotic sequence cipher generator. Signal processing, 2009. 89(4): p. 480-491.
  • Fridrich, J., Symmetric ciphers based on two-dimensional chaotic maps. International Journal of Bifurcation and chaos, 1998. 8(06): p. 1259-1284.
  • Gao, H., et al., A new chaotic algorithm for image encryption. Chaos, Solitons & Fractals, 2006. 29(2): p. 393-399.
  • Rulkov, N.F., et al., Generalized synchronization of chaos in directionally coupled chaotic systems. Physical Review E, 1995. 51(2): p. 980.
  • Zhou, Q., et al., Parallel image encryption algorithm based on discretized chaotic map. Chaos, Solitons & Fractals, 2008. 38(4): p. 1081-1092.
  • Shelke, F.M., A.A. Dongre, and P.D. Soni, Comparison of different techniques for Steganography in images.
  • Celik, K. and E. Kurt. A new image encryption algorithm based on lorenz system. in Electronics, Computers and Artificial Intelligence (ECAI), 2016 8th International Conference on. 2016.
  • Kurt, E. and C. Bingol, A New Sweep Up/Down Phenomenon between the Chaotic and Regular Regions in a New R2L2D Circuit, page: 305-310. Politeknik Dergisi, 2016. 19(3).
  • Pecora, L.M. and T.L. Carroll, Synchronization in chaotic systems. Physical review letters, 1990. 64(8): p. 821.
  • Wu, C.W. and L.O. Chua, A simple way to synchronize chaotic systems with applications to secure communication systems. International Journal of Bifurcation and Chaos, 1993. 3(06): p. 1619-1627.
  • Yang, T. and L.O. Chua, Secure communication via chaotic parameter modulation. IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications, 1996. 43(9): p. 817-819.
  • Yau, H.-T. and J.-J. Yan, Chaos synchronization of different chaotic systems subjected to input nonlinearity. Applied Mathematics and Computation, 2008. 197(2): p. 775-788.
  • Kurt, E. and C. Bingol, Exploration of Synchronization Secure Communication and Signal Recovery in New R2L2D Circuit, 58th Int. Sci. Conf. Riga Tech. Uni. Power and Elec. Eng. RTUCON2017, 12-13 Oct. 2017, Riga, Latvia.
  • Hendriks, P., Specifying communications dacs. IEEE spectrum, 1997. 34(7): p. 58-69.
There are 29 citations in total.

Details

Primary Language English
Subjects Engineering
Journal Section Research Article
Authors

Aybaba Hancerliogulları 0000-0001-7008-480X

Khaled Mohamed El Hadad 0000-0002-0374-4350

Erol Kurt 0000-0002-3615-6926

Publication Date December 1, 2019
Submission Date April 23, 2019
Published in Issue Year 2019 Volume: 22 Issue: 4

Cite

APA Hancerliogulları, A., Mohamed El Hadad, K., & Kurt, E. (2019). Implementation of a Real Time Analog Secure Image Communication System via a Chaotic Circuit. Politeknik Dergisi, 22(4), 1083-1092. https://doi.org/10.2339/politeknik.557289
AMA Hancerliogulları A, Mohamed El Hadad K, Kurt E. Implementation of a Real Time Analog Secure Image Communication System via a Chaotic Circuit. Politeknik Dergisi. December 2019;22(4):1083-1092. doi:10.2339/politeknik.557289
Chicago Hancerliogulları, Aybaba, Khaled Mohamed El Hadad, and Erol Kurt. “Implementation of a Real Time Analog Secure Image Communication System via a Chaotic Circuit”. Politeknik Dergisi 22, no. 4 (December 2019): 1083-92. https://doi.org/10.2339/politeknik.557289.
EndNote Hancerliogulları A, Mohamed El Hadad K, Kurt E (December 1, 2019) Implementation of a Real Time Analog Secure Image Communication System via a Chaotic Circuit. Politeknik Dergisi 22 4 1083–1092.
IEEE A. Hancerliogulları, K. Mohamed El Hadad, and E. Kurt, “Implementation of a Real Time Analog Secure Image Communication System via a Chaotic Circuit”, Politeknik Dergisi, vol. 22, no. 4, pp. 1083–1092, 2019, doi: 10.2339/politeknik.557289.
ISNAD Hancerliogulları, Aybaba et al. “Implementation of a Real Time Analog Secure Image Communication System via a Chaotic Circuit”. Politeknik Dergisi 22/4 (December 2019), 1083-1092. https://doi.org/10.2339/politeknik.557289.
JAMA Hancerliogulları A, Mohamed El Hadad K, Kurt E. Implementation of a Real Time Analog Secure Image Communication System via a Chaotic Circuit. Politeknik Dergisi. 2019;22:1083–1092.
MLA Hancerliogulları, Aybaba et al. “Implementation of a Real Time Analog Secure Image Communication System via a Chaotic Circuit”. Politeknik Dergisi, vol. 22, no. 4, 2019, pp. 1083-92, doi:10.2339/politeknik.557289.
Vancouver Hancerliogulları A, Mohamed El Hadad K, Kurt E. Implementation of a Real Time Analog Secure Image Communication System via a Chaotic Circuit. Politeknik Dergisi. 2019;22(4):1083-92.

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