digital implementation

Design, implementation and analysis of fully digital 1-D controllable multiscroll chaos

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Abhinav Mansingka, et al., "Design, implementation and analysis of fully digital 1-D controllable multiscroll chaos" ICM 2011 Proceeding, 2011, 1. This paper introduces the fully digital implementation of a 1-D multiscroll chaos generator based on a staircase nonlinearity in the 3rd-order jerk system using the Euler approximation. For the first time, digital design is exploited to provide real-time controllability of (i) number of scrolls, (ii) position in 1-D space, (iii) Euler step size and (iv) system parameter. The effect of variations in these fields on the maximum Lyapunov exponent (MLE)

Analysis of bus width and delay on a fully digital signum nonlinearity chaotic oscillator

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Abhinav Mansingka, et al., "Analysis of bus width and delay on a fully digital signum nonlinearity chaotic oscillator." In 2011 IEEE 54th International Midwest Symposium on Circuits and Systems (MWSCAS), 2011, 1. Abstract: This paper introduces the first fully digital implementation of a 3rd order ODE-based chaotic oscillator with signum nonlinearity. A threshold bus width of 12-bits for reliable chaotic behavior is observed, below which the system output becomes periodic. Beyond this threshold, the maximum Lyapunov exponent (MLE) is shown to improve up to a peak value at 16-bits and

On the short-term predictability of fully digital chaotic oscillators for pseudo-random number generation

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Ahmed G. Radwan, et al., "On the short-term predictability of fully digital chaotic oscillators for pseudo-random number generation." In 2013 IEEE 20th International Conference on Electronics, Circuits, and Systems (ICECS), 2013, 373. This paper presents a digital implementation of a 3rd order chaotic system using the Euler approximation. Short-term predictability is studied in relation to system precision, Euler step size and attractor size and optimal parameters for maximum performance are derived. Defective bits from the native chaotic output are neglected and the remaining pass the NIST SP