Year 2024,
Volume: 6 Issue: 4, 249 - 256
Muhammed Furkan Taşdemir
,
Anna Litvinenko
,
İsmail Koyuncu
,
Filips Capligins
References
- Akif Akgul, H. C., 2015 Chaos-based engineering applications
with a 3d chaotic system without equilibrium points. Nonlinear
Dynamics .
- Amir Anees, I. H., 2018 A novel method to identify initial values
of chaotic maps in cyber security. MDPI .
- Arpaci, B., 2019 Color Image Encryption System Designed with The
Modified Chua Circuit For Security Data Transmission. Ph.D. thesis,
Gazi University, Ankara.
- E. Tlelo-Cuautle, J. R.-M.-A.-R.-P., 2015 Fpga realization of multiscroll chaotic oscillators. Communications in Nonlinear Science
and Numerical Simulation 27: 66–80.
- Erkan Tanyıldızı, T. C., 2017 Kaotik haritalı balina optimizasyon algoritmaları. Science and Engineering Journal of Fırat University
pp. 307–317.
- Fatih Karata¸s, K., 2020 Implementation of fuzzy logic membership
functions on fpga. Bilgisayar Bilimleri ve Teknolojileri Dergisi
pp. 1–9.
- Fatih Karata¸s, K., 2021 Design and implementation of fpga-based
arrhythmic ecg signals using vhdl for biomedical calibration applications. International Advanced Researches and Engineering
Journal pp. 362–371.
- Fatih Özkaynak, A. B., 2013 Security analysis of an image encryption algorithm based on chaos and dna encoding. IEEE .
- Fei Yu, H. S., 2020 Ccii and fpga realization: A multistable modified
fourth-order autonomous chua’s chaotic system with coexisting multiple attractors. Complexity, Dynamics, Control, and
Applications of Nonlinear Systems with Multistability pp. 1–17.
- Filips Capligins, A. L., 2021 Fpga implementation and study of
synchronization of modified chua’s circuit-based chaotic oscillator for high-speed secure communications. In IEEE 8th Workshop
on Advances in Information, Electronic And Electrical Engineering.
- Gabr, M. K., 2023 Image Encryption Based On Base-N PRNGs Key
Application And Parallel Base-N S-Boxes. The German University,
Cairo.
- Jorge Pomares, I. P., 2014 Dynamic visual servoing with chaos control for redundant robots. IEEE/ASME Transactions On Mechatronics pp. 423–430.
- Koyuncu, T. M. F.-A.-M.-T.-M. C. E., I., 2022 Real time realization of
image processing algorithms on fpga. Journal of BAUN Institute
of Science and Technology 24: 125–137.
- Linsheng Zhang, Y. Z., 2009 Floating-point to fixed-point transformation using extreme value theory. In IEEE/ACIS International
Conference on Computer and Information Science, pp. 271–276.
- Litvinenko, A., 2017a Use of Chaotic Sequences For Data Transmission
System. Riga Technical University.
- Litvinenko, A., 2017b Use of Chaotic Sequences for Data Transmission
Systems. Ph.D. thesis, Riga Technical University, Faculty of Electronics and Telecommunications, Institute of Radioelectronics.
- Litvinenko, A. and A. A., 2019 Advanced chaos shift keying based
on a modified chua’s circuit. In IEEE Microwave Theory And Techniques In Wireless Communications (MTTW), pp. 17–22.
- Luciana De Micco, H. A., 2011 Fpga implementation of a chaotic
oscillator using rk4 method. In Southern Conference On Programmable Logic, pp. 185–190.
- Mohamed L. Barakat, A. S., 2013 Hardware stream cipher with
controllable chaos generator for colour image encryption. IETL .
- Mohamed Salah Azzaz, C. T., 2013 A new auto-switched chaotic
system and its fpga implementation. Communications in Nonlinear Science and Numerical Simulation pp. 1792–1804.
- Mohammed F. Tolba, A. M., 2017 Fpga implementation of two
fractional orders chaotic systems. AEU-International Journal of
Electronics and Communications 78: 162–172.
- Murat Alcin, I. P., 2016 Hardware design and implementation of a
novel ann-based chaotic generator in fpga. Elsevier pp. 37–58.
- Murat Tuna, M. A., 2019 High speed fpga-based chaotic oscillator
design. Microprocessors and Microsystems 73–80.
- Omar Guillén-Fernández, M. F.-L.-C., 2021 Issues on applying oneand multi-step numerical methods to chaotic oscillators for fpga
implementation. Mathematics .
- Ruslans Babajans, D. D., 2020 Noise immunity of substitution
method-based chaos synchronization in vilnius oscillator. IEEE
Microwave Th and Techniq in Wireless Communications .
- Sadoudi Said, M. S., 2009 An fpga real-time implementation of
the chen’s chaotic system for securing chaotic communications.
International Journal of Nonlinear Science pp. 467–474.
- Ta¸sdemir, I. K., M. F., 2020 Real-time fast corner detection algorithm
based image processing application on fpga. In International
Asian Congress on Contemporary Sciences-III, pp. 39–46, Konya.
- Vasyuta, K., F. Zots, and I. Zakharchenko, 2019 Building the air
defense covert information and measuring system based on orthogonal chaotic signals. Peer-Reviewed Open Access Scientific
Journal pp. 33–43.
- Zhengxing Huang, W. D., 2014 Similarity measure between patient
traces for clinical pathway analysis: Problem, method, and applications. IEEE Journal of Biomedical and Health Informatics
pp. 4–14.
Performance Evaluation of FPGA-Based Design of Modified Chua Oscillator
Year 2024,
Volume: 6 Issue: 4, 249 - 256
Muhammed Furkan Taşdemir
,
Anna Litvinenko
,
İsmail Koyuncu
,
Filips Capligins
Abstract
The chaotic systems are one of the most important areas that increasing the popularity and are actively used in several fields. One of the most essential structures in chaotic systems is chaotic oscillator which generates chaotic signals. IQ-Math and floating point number systems are one of the preferred number standards. Presented in this study, the Modified Chua chaotic oscillator has been designed to work on FPGA chips using fixed point and floating point number systems. Euler numeric algorithm has been used for the design of the Modified Chua chaotic oscillator. The first section of the study, Modified Chua chaotic system based on fixed point has been composed the model in the Matlab Simulink and transformed to VHDL with the help of Matlab HDL Coder Toolbox. The second section of the study, Modified Chua chaotic oscillator has been designed with VHDL based on floating point. Modified Chua chaotic oscillators which are composed with two different number standards have been tested using Xilinx ISE Design Tools in VHDL. Modified Chua chaotic oscillators which have two different numbers standards and designed, are synthesized for Virtex-6 on ML605 FPGA development board with Xilinx ISE Design Tools 14.2 program. Values that are achieved from the process of synthesizing and maximum operating frequency have been presented. As a result, the study has obtained that fixed point number standard maximum operating frequency is 50.242 MHz and floating point number standard maximum operating frequency is 273.631 MHz.
Ethical Statement
The authors declare that they have no conflict of interest.
Supporting Institution
Riga Technical University
Thanks
Thank you to Riga Technical University for their support.
References
- Akif Akgul, H. C., 2015 Chaos-based engineering applications
with a 3d chaotic system without equilibrium points. Nonlinear
Dynamics .
- Amir Anees, I. H., 2018 A novel method to identify initial values
of chaotic maps in cyber security. MDPI .
- Arpaci, B., 2019 Color Image Encryption System Designed with The
Modified Chua Circuit For Security Data Transmission. Ph.D. thesis,
Gazi University, Ankara.
- E. Tlelo-Cuautle, J. R.-M.-A.-R.-P., 2015 Fpga realization of multiscroll chaotic oscillators. Communications in Nonlinear Science
and Numerical Simulation 27: 66–80.
- Erkan Tanyıldızı, T. C., 2017 Kaotik haritalı balina optimizasyon algoritmaları. Science and Engineering Journal of Fırat University
pp. 307–317.
- Fatih Karata¸s, K., 2020 Implementation of fuzzy logic membership
functions on fpga. Bilgisayar Bilimleri ve Teknolojileri Dergisi
pp. 1–9.
- Fatih Karata¸s, K., 2021 Design and implementation of fpga-based
arrhythmic ecg signals using vhdl for biomedical calibration applications. International Advanced Researches and Engineering
Journal pp. 362–371.
- Fatih Özkaynak, A. B., 2013 Security analysis of an image encryption algorithm based on chaos and dna encoding. IEEE .
- Fei Yu, H. S., 2020 Ccii and fpga realization: A multistable modified
fourth-order autonomous chua’s chaotic system with coexisting multiple attractors. Complexity, Dynamics, Control, and
Applications of Nonlinear Systems with Multistability pp. 1–17.
- Filips Capligins, A. L., 2021 Fpga implementation and study of
synchronization of modified chua’s circuit-based chaotic oscillator for high-speed secure communications. In IEEE 8th Workshop
on Advances in Information, Electronic And Electrical Engineering.
- Gabr, M. K., 2023 Image Encryption Based On Base-N PRNGs Key
Application And Parallel Base-N S-Boxes. The German University,
Cairo.
- Jorge Pomares, I. P., 2014 Dynamic visual servoing with chaos control for redundant robots. IEEE/ASME Transactions On Mechatronics pp. 423–430.
- Koyuncu, T. M. F.-A.-M.-T.-M. C. E., I., 2022 Real time realization of
image processing algorithms on fpga. Journal of BAUN Institute
of Science and Technology 24: 125–137.
- Linsheng Zhang, Y. Z., 2009 Floating-point to fixed-point transformation using extreme value theory. In IEEE/ACIS International
Conference on Computer and Information Science, pp. 271–276.
- Litvinenko, A., 2017a Use of Chaotic Sequences For Data Transmission
System. Riga Technical University.
- Litvinenko, A., 2017b Use of Chaotic Sequences for Data Transmission
Systems. Ph.D. thesis, Riga Technical University, Faculty of Electronics and Telecommunications, Institute of Radioelectronics.
- Litvinenko, A. and A. A., 2019 Advanced chaos shift keying based
on a modified chua’s circuit. In IEEE Microwave Theory And Techniques In Wireless Communications (MTTW), pp. 17–22.
- Luciana De Micco, H. A., 2011 Fpga implementation of a chaotic
oscillator using rk4 method. In Southern Conference On Programmable Logic, pp. 185–190.
- Mohamed L. Barakat, A. S., 2013 Hardware stream cipher with
controllable chaos generator for colour image encryption. IETL .
- Mohamed Salah Azzaz, C. T., 2013 A new auto-switched chaotic
system and its fpga implementation. Communications in Nonlinear Science and Numerical Simulation pp. 1792–1804.
- Mohammed F. Tolba, A. M., 2017 Fpga implementation of two
fractional orders chaotic systems. AEU-International Journal of
Electronics and Communications 78: 162–172.
- Murat Alcin, I. P., 2016 Hardware design and implementation of a
novel ann-based chaotic generator in fpga. Elsevier pp. 37–58.
- Murat Tuna, M. A., 2019 High speed fpga-based chaotic oscillator
design. Microprocessors and Microsystems 73–80.
- Omar Guillén-Fernández, M. F.-L.-C., 2021 Issues on applying oneand multi-step numerical methods to chaotic oscillators for fpga
implementation. Mathematics .
- Ruslans Babajans, D. D., 2020 Noise immunity of substitution
method-based chaos synchronization in vilnius oscillator. IEEE
Microwave Th and Techniq in Wireless Communications .
- Sadoudi Said, M. S., 2009 An fpga real-time implementation of
the chen’s chaotic system for securing chaotic communications.
International Journal of Nonlinear Science pp. 467–474.
- Ta¸sdemir, I. K., M. F., 2020 Real-time fast corner detection algorithm
based image processing application on fpga. In International
Asian Congress on Contemporary Sciences-III, pp. 39–46, Konya.
- Vasyuta, K., F. Zots, and I. Zakharchenko, 2019 Building the air
defense covert information and measuring system based on orthogonal chaotic signals. Peer-Reviewed Open Access Scientific
Journal pp. 33–43.
- Zhengxing Huang, W. D., 2014 Similarity measure between patient
traces for clinical pathway analysis: Problem, method, and applications. IEEE Journal of Biomedical and Health Informatics
pp. 4–14.