S.V. Bozhokin – Ph.D.(Phys.-Math.), Associate Professor, 

Institute of Physics, Nanotechnology and Telecommunications of Peter The Great St. Petersburg Polytechnic University E-mail: bsvjob@mail.ru

K.A. Barantsev – Ph.D.(Phys.-Math.), Associate Professor, 

Institute of Physics, Nanotechnology and Telecommunications of Peter The Great St. Petersburg Polytechnic University E-mail: kostmann@yandex.ru

A.N. Litvinov – Ph.D.(Phys.-Math.), Associate Professor, 

Institute of Physics, Nanotechnology and Telecommunications of Peter The Great St. Petersburg Polytechnic University E-mail: andrey.litvinov@mail.ru

Formulation of the problem. The key elements that determine the accuracy of synchronization of all airborne and ground-based elements of satellite navigation systems are quantum frequency standards (QFS), the main characteristics of which are short-term and long-term stability.

Goal. Apply the wavelet analysis method to determining the long-term instability of the QFS. This method allows us to analyze unsteady signals and find a set of quantitative characteristics that describe the changes in the spectral properties of the QFS signal over time. Results. The continuous wavelet transform method is used to analyze the non-stationary discrete signal of the QFS. The generalization of the orthogonality condition of the mother wavelets, the inversion formula, and the Parseval equality to the case of discrete signals is performed. An expression for wavelet dispersion is obtained. The moments of time that are characterized by flashes of activity in various spectral ranges are determined. The obtained results are compared with the traditional method for analyzing the stability of QFS based on the Allan dispersion.

Practical significance. The use of wavelet analysis made it possible to obtain new quantitative characteristics characterizing the instability of the QFS operation.

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