Regularization of Fourier series with approximate coefficients for the problem of phase probability density function estimation
M.L. Maslakov1,2, V.V. Egorov1,2
1Russian Institute of Power Radiobuilding, St. Petersburg, Russia
2Saint Petersburg State University of Aerospace Instrumentation, St. Petersburg, Russia
Keywords: angle estimation, phase, phase probability distribution function, Fourier series, regularization, multiparameter regularization
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.
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