Title :
The effect of numerical techniques on differential equation based chaotic generators
Author :
Zidan, M. Affan ; Radwan, A.G. ; Salama, K.N.
Author_Institution :
Electr. Eng. Program, King Abdullah Univ. of Sci. & Technol. (KAUST), Thuwal, Saudi Arabia
Abstract :
In this paper, we study the effect of the numerical solution accuracy on the digital implementation of differential chaos generators. Four systems are built on a Xilinx Virtex 4 FPGA using Euler, mid-point, and Runge-Kutta fourth order techniques. The twelve implementations are compared based on the FPGA used area, maximum throughput, maximum Lyapunov exponent, and autocorrelation confidence region. Based on circuit performance and the chaotic response of the different implementations, it was found that less complicated numerical solution has better chaotic response and higher throughput.
Keywords :
Runge-Kutta methods; chaos generators; differential equations; field programmable gate arrays; Euler technique; FPGA-used area; Runge-Kutta fourth-order technique; Xilinx Virtex 4 FPGA; autocorrelation confidence region; chaotic generators; chaotic response; circuit performance; differential chaos generators; differential equation; digital implementation; maximum-Lyapunov exponent; maximum-throughput; mid-point technique; numerical techniques; Chaotic communication; Correlation; Field programmable gate arrays; Generators; Maximum likelihood estimation; Throughput;
Conference_Titel :
Microelectronics (ICM), 2011 International Conference on
Conference_Location :
Hammamet
Print_ISBN :
978-1-4577-2207-3
DOI :
10.1109/ICM.2011.6177395
