Pseudo random number generator based on quantum chaotic map

Akhshani, A.; Akhavan, Amir; Mobaraki, Akbar; Lim, Siew-Choo; Hassan, Z.

doi:10.1016/j.cnsns.2013.06.017

Cited by 175 publications

(92 citation statements)

References 29 publications

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“…The scale s and f at time u in the CWT and scalogram are defined as shown in Eqs. (8) and (9) [24,33,34].…”

Section: Scale Index Methodsmentioning

confidence: 99%

“…This technique enables the obtaining of information about the periodic nature of generated number series. The technique, which depended on the continuous wavelet transform (CWT) and wavelet multiresolution analyses, is given below [34]. The scale s and f at time u in the CWT and scalogram are defined as shown in Eqs.…”

Section: Scale Index Methodsmentioning

confidence: 99%

“…The statistical complexity measure (SCM), based on H-disorder and Q-disequilibrium, was introduced in previous studies [34,35]. The SCM is a quantifier of the probability distribution P. The SCM is expressed by Eq.…”

Section: Statistical Complexity Measurementioning

confidence: 99%

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Pseudorandom number generator based on Arnold cat map and statistical analysis

Avaroğlu¹

2017

Turk J Elec Eng & Comp Sci

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Pseudorandom number generators (PRNGs) generate random bit streams based on deterministic algorithms.Any bit stream generated with a PRNG will repeat itself at a certain point, and the bit streams will become correlated.As a result, all bit streams generated in this manner are statistically weak. Such weakness leads to a strong connection between PRNGs and chaos, which is characterized by ergodicity, confusion, complexity, sensitivity to initial conditions, and dependence on control parameters. In this study, we introduce a PRNG that generates bit sequences by sampling two Arnold cat map outputs. The statistical randomness of bit streams obtained using this PRNG was verified by statistical analyses such as the NIST test suite, the scale index method, statistical complexity measures, and autocorrelation. The generated bit streams successfully passed all the analytical tests and can be safely used for the many applications of randomness.

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“…The scale s and f at time u in the CWT and scalogram are defined as shown in Eqs. (8) and (9) [24,33,34].…”

Section: Scale Index Methodsmentioning

confidence: 99%

Section: Scale Index Methodsmentioning

confidence: 99%

See 1 more Smart Citation

Pseudorandom number generator based on Arnold cat map and statistical analysis

Avaroğlu¹

2017

Turk J Elec Eng & Comp Sci

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“…In recent years some classical systems, such as the logistic map, Henon map, Bonhoeffer-van der Pol oscillator (Benítez et al, 2010), Rössler system (Akhshani et al, 2014), SMA oscillators and the heartbeat dynamics (Behnia et al, 2013) have been analysed by the Scale index. The wavelet transform of a one-dimensional (1D) signal consists of the development into a basis constructed via solutions like functions called wavelet, using various internal transformations and shifts (Awrejcewicz et al, 2009).…”

Section: A Wavelet-based Scale Indexmentioning

confidence: 99%

Active vibration control of an elevator system using magnetorheological damper actuator

Tusset¹,

Santo²,

Balthazar³

et al. 2017

IJNDC

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Abstract:We investigated the horizontal response of a vertical transportation with nonlinearities under excitation by guide rail deformations. A LQR control strategy was used in order to improve the comfort of passengers. To this end, a magnetorheological damper (MR damper) was used. The control force of the damper is a function of the voltage applied in the coil of the MR damper that is based on the force given by the controller. Numerical simulations were performed to investigate the nonlinear behaviour of the adopted mathematical model. Moreover, other issues such as robustness of the control technique were evaluated considering parametric errors and noise measurement. The results show that the LQR control strategy using MR damper can be effective in reducing the vibration of the vertical transport.Keywords: optimal feedback control; vertical transportation; MR damper; high-speed elevator; parametric uncertainties; wavelet-based scale index; nonlinear model; chaos; LQR control; nonlinear dynamics.

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“…They evaluated the generator with criterion such as speed, easy implementation, Monobit and serial tests and other NIST tests. Akhshani et al (2014) for pseudo random number generator based on quantum chaos mapping applied 4 famous souit of statistical tests, DIEHARD, ENT, NIST and U0I. They also considered speed and easy implementation criterions.…”

Section: Introductionmentioning

confidence: 99%

A General Evaluation Pattern for Pseudo Random Number Generators

Gaeini¹,

Mirghadri²,

Jandaghi³

2015

Trends in Applied Sciences Research

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Many models have been designed for generating pseudo random numbers and there is the potentiality to design more. Among the mentioned generators, a few of them are applied in cryptography. Thus, there is an inevitable need among researchers and users for evaluating the generators. A variety of criteria are used for evaluation which have more or less or neutral importance depending on the way the generators are applied. Accordingly, some reliable sources pay attention to the particular criterion while overlooking others. In the present study, in addition to enumerating all of the popular criteria, there has been an attempt to classify them in the form of a general model. At the end, some suggestions are presented for the foremost priority in using and applying the criteria. With implementing this pattern all the criterions have been considered and on the other hand the probability of second type error will be reduced. Also, observance of the sequence of criterions would cause saving in time and costs.

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Pseudo random number generator based on quantum chaotic map

Cited by 175 publications

References 29 publications

Pseudorandom number generator based on Arnold cat map and statistical analysis

Pseudorandom number generator based on Arnold cat map and statistical analysis

Active vibration control of an elevator system using magnetorheological damper actuator

A General Evaluation Pattern for Pseudo Random Number Generators

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