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JOURNALS // Sibirskii Zhurnal Vychislitel'noi Matematiki // Archive

Sib. Zh. Vychisl. Mat., 2022 Volume 25, Number 2, Pages 157–171 (Mi sjvm803)

This article is cited in 1 paper

Regularization of Fourier series with approximate coefficients for the problem of phase probability density function estimation

M. L. Maslakovab, V. V. Egorovab

a Russian Institute of Power Radiobuilding, St. Petersburg, Russia
b Saint Petersburg State University of Aerospace Instrumentation, Russia

Abstract: This paper considers the problem of phases probability distribution function estimation for phase-shift-keying signals. The modulating sequence, and, accordingly, the values of the symbols phases, as well as the statistical characteristics of this sequence are unknown. The Fourier coefficients are calculated based on a limited sample for estimation of phases probability distribution function. In this case, the obtained Fourier coefficients are regularized. Application of multiparameter regularization for increasing the estimation accuracy are considered. The numerical simulation results are presented.

Key words: angle estimation, phase, phase probability distribution function, Fourier series, regularization, multiparameter regularization.

UDC: 519.642

Received: 11.11.2020
Revised: 30.07.2021
Accepted: 27.01.2022

DOI: 10.15372/SJNM20220205



© Steklov Math. Inst. of RAS, 2024