In this paper, the random numbers generated by a true random number generator, using the oscillator sampling method, are formulated using a renewal process, and this formulation is used to demonstrate the uniformity of the random numbers and the independence between different bits. Using our results, a lower bound for the speed of random number generation could easily be identified, according to the required statistical quality.
Masahiro KAMINAGA
Tohoku Gakuin University
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Masahiro KAMINAGA, "Random Numbers Generated by the Oscillator Sampling Method as a Renewal Process" in IEICE TRANSACTIONS on Fundamentals,
vol. E105-A, no. 2, pp. 118-121, February 2022, doi: 10.1587/transfun.2021EAL2023.
Abstract: In this paper, the random numbers generated by a true random number generator, using the oscillator sampling method, are formulated using a renewal process, and this formulation is used to demonstrate the uniformity of the random numbers and the independence between different bits. Using our results, a lower bound for the speed of random number generation could easily be identified, according to the required statistical quality.
URL: https://global.ieice.org/en_transactions/fundamentals/10.1587/transfun.2021EAL2023/_p
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@ARTICLE{e105-a_2_118,
author={Masahiro KAMINAGA, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={Random Numbers Generated by the Oscillator Sampling Method as a Renewal Process},
year={2022},
volume={E105-A},
number={2},
pages={118-121},
abstract={In this paper, the random numbers generated by a true random number generator, using the oscillator sampling method, are formulated using a renewal process, and this formulation is used to demonstrate the uniformity of the random numbers and the independence between different bits. Using our results, a lower bound for the speed of random number generation could easily be identified, according to the required statistical quality.},
keywords={},
doi={10.1587/transfun.2021EAL2023},
ISSN={1745-1337},
month={February},}
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TY - JOUR
TI - Random Numbers Generated by the Oscillator Sampling Method as a Renewal Process
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 118
EP - 121
AU - Masahiro KAMINAGA
PY - 2022
DO - 10.1587/transfun.2021EAL2023
JO - IEICE TRANSACTIONS on Fundamentals
SN - 1745-1337
VL - E105-A
IS - 2
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - February 2022
AB - In this paper, the random numbers generated by a true random number generator, using the oscillator sampling method, are formulated using a renewal process, and this formulation is used to demonstrate the uniformity of the random numbers and the independence between different bits. Using our results, a lower bound for the speed of random number generation could easily be identified, according to the required statistical quality.
ER -