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The maximum Lyapunov exponent (MLE) of a dynamic system is a quantity that characterizes the degree of separation of two infinitesimally close paths, it gives a measure of the average rate of exponential divergence of nearby orbits. It is known as a general indicator of the presence of chaos in a dynamic system. This quantifier has been applied in diverse fields, such as biomedicine and finance, in...
This paper describes the implementation of a system for measuring entropy. The design was optimized to be implemented in a simple and small microcontroller, achieving acceptable accuracy. The system allows measuring the entropy of internally code-generated signals, and also, sampled external analog signals. The development board used M1AFS-embedded kit of Actel. In the FPGA (Field Programmable Gate...
In this paper a hardware implementation of a Maximum Lyapunov Exponent (MLE) quantifier is designed and implemented using a field programmable gate array (FPGA). The design was optimized in terms of accuracy employing floating point architecture to represent the values. The proposed design takes advantage of the underline parallelism of the MLE computation equations and allows its concurrent implementation...
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