{"title":"Regularization of Fourier Series with Approximate Coefficients for the Problem of Phase Probability Density Function Estimation","authors":"M. L. Maslakov, V. V. Egorov","doi":"10.15372/sjnm20220205","DOIUrl":null,"url":null,"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.","PeriodicalId":43697,"journal":{"name":"Numerical Analysis and Applications","volume":"15 1","pages":"125-137"},"PeriodicalIF":0.4000,"publicationDate":"2022-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Numerical Analysis and Applications","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.15372/sjnm20220205","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"MATHEMATICS, APPLIED","Score":null,"Total":0}
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.
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.
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