Regularization of Fourier Series with Approximate Coefficients for the Problem of Phase Probability Density Function Estimation

IF 0.4 Q4 MATHEMATICS, APPLIED

Numerical Analysis and Applications Pub Date : 2022-06-01 DOI:10.15372/sjnm20220205

M. L. Maslakov, V. V. Egorov

引用次数: 0

Abstract

Abstract This paper considers the problem of phase probability distribution function estimation for phase-shift-keying signals. The modulating sequence and, accordingly, the symbol phases, as well as statistical characteristics of this sequence, are unknown. The Fourier coefficients are calculated on a limited sample for estimating the phase probability distribution function. In this case, the thus obtained Fourier coefficients are regularized. A multiparameter regularization method for increasing the estimation accuracy is considered. Numerical simulation results are presented.

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相位概率密度函数估计问题的近似系数傅里叶级数正则化

研究了相移键控信号的相位概率分布函数估计问题。调制序列和相应的符号相位以及该序列的统计特性是未知的。为了估计相位概率分布函数，在有限的样本上计算傅里叶系数。在这种情况下，由此得到的傅里叶系数是正则化的。考虑了一种提高估计精度的多参数正则化方法。给出了数值模拟结果。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Numerical Analysis and Applications MATHEMATICS, APPLIED-

CiteScore

1.00

自引率

0.00%

发文量

期刊介绍： Numerical Analysis and Applications is the translation of Russian periodical Sibirskii Zhurnal Vychislitel’noi Matematiki (Siberian Journal of Numerical Mathematics) published by the Siberian Branch of the Russian Academy of Sciences Publishing House since 1998. The aim of this journal is to demonstrate, in concentrated form, to the Russian and International Mathematical Community the latest and most important investigations of Siberian numerical mathematicians in various scientific and engineering fields. The journal deals with the following topics: Theory and practice of computational methods, mathematical physics, and other applied fields; Mathematical models of elasticity theory, hydrodynamics, gas dynamics, and geophysics; Parallelizing of algorithms; Models and methods of bioinformatics.