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Zhurnal Tekhnicheskoi Fiziki, 2021 Volume 91, Issue 1, Pages 32–38 (Mi jtf5095)

Theoretical and Mathematical Physics

Method of translation transfer for estimation of stability of a nonstationary quantum frequency standard

S. V. Bodjokin, K. A. Barantsev, A. N. Litvinov

Peter the Great St. Petersburg Polytechnic University

Abstract: A continuous wavelet transform is used to analyze operation of a nonstationary signal of a quantum frequency standard. A method of translation transfer is proposed for elimination of the boundary effects in such a transform. Spectral integrals of the signal of the quantum frequency standard are calculated in several frequency intervals. A wavelet variance is introduced to determine time moments of the strongest fluctuations of the signal. The wavelet variance is compared with conventional and Allan variances.

Keywords: continuous wavelet transform, quantum frequency standard, wavelet dispersion, non-stationary signal.

Received: 30.04.2020
Revised: 22.06.2020
Accepted: 22.06.2020

DOI: 10.21883/JTF.2021.01.50269.152-20


 English version:
Technical Physics, 2021, 66:1, 28–33

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© Steklov Math. Inst. of RAS, 2025