Implementation of Dormand-Prince based chaotic oscillator designs in different IQ-Math number standards on FPGA
Chaos and chaotic systems, one of the most important work areas inrecent years, are used in areas such as cryptology and secure communication,industrial control, artificial neural networks, random number generators andimage processing. The most basic structure used in these studies is a chaoticoscil...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Sakarya University
2019-10-01
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| Series: | Sakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi |
| Subjects: | |
| Online Access: | https://dergipark.org.tr/tr/download/article-file/723535 |
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| Summary: | Chaos and chaotic systems, one of the most important work areas inrecent years, are used in areas such as cryptology and secure communication,industrial control, artificial neural networks, random number generators andimage processing. The most basic structure used in these studies is a chaoticoscillator design that produces a chaotic signal. Chaotic oscillators areexpressed by using differential equations. Numerical algorithms such as Euler,Heun, fourth order Runge-Kutta-4 (RK4), fifth order RK5-Butcher andDormand-Prince are used for solving these differential equations. When thecurrent literature is searched, chaotic oscillator designs are found by Euler,Heun, RK4 and RK5- Butcher method. However, FPGA-based chaotic oscillatordesign studies have not been found using the Dormand-Prince method, whichproduces more accurate solutions than other methods. In this work, self-excitedattractor chaoticsystem was first designed in 16I-16Q, 14I-14Q, 12I-12Q, 10I_10Q, 8I-8Q IQ-Math number standards on FPGA usingDormand-Prince numerical algorithm and encoded in VHDL language.Xilinx ISE Design Tools were used to design the chaotic system. Thedesign was synthesized and tested for the Xilinx Virtex-6 FPGA chip. Using theXilinx ISE design tool, the chip statistics and maximum operating frequencyobtained after the "Route-Place" operation are presented. In futurework, safe communication and real random number generator applications can berealized by using the Dormand-Prince based oscillator design presented in thisstudy. |
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| ISSN: | 2147-835X |