Analysis of the possibility of increasing the degree of randomness of noise using a continuous wavelet transform on the example of a sequence of numbers generated by an optical random noise generator

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Abstract

The possibilities of controlling the parameters of random number sequences using a continuous wavelet transform are investigated. It is shown that changing the energy of the scales of the continuous wavelet transform can increase the percentage of passing the NIST LongestRun, FFT and Runs tests. The possibility of increasing the percentage of passing tests has been demonstrated for various sizes of the experimental sequence of random numbers under study.

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About the authors

M. E. Sibgatullin

Kazan National Research Technical University; Tatarstan Academy of Sciences

Author for correspondence.
Email: sibmans@mail.ru

Kazan Quantum Centre

Russian Federation, Kazan; Kazan

D. A. Mavkov

Kazan National Research Technical University

Email: sibmans@mail.ru

Kazan Quantum Centre

Russian Federation, Kazan

L. R. Gilyazov

Kazan National Research Technical University

Email: sibmans@mail.ru

Kazan Quantum Centre

Russian Federation, Kazan

N. M. Arslanov

Kazan National Research Technical University

Email: sibmans@mail.ru

Kazan Quantum Centre

Russian Federation, Kazan

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2. Fig. 1. Dependence of the percentage of sequences that successfully passed the NIST test on the number of scales of the continuous wavelet transform for which energy equalization was performed: FFT test, mean equalization (a), FFT test, minimum equalization (b), LongestRun test, mean equalization (c), LongestRun test, minimum equalization (d), Runs test, mean equalization (e), Runs test, minimum equalization (e).

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