Results 1 to 10 of about 3,568,233 (208)
On the Vilenkin–Fourier coefficients [PDF]
Georgian Mathematical Journal, 2013 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
G. Tephnadze
exaly +4 more sources
Total retardance measurements based on the complex Fourier coefficients for the rotating polarizer analyzer system [PDF]
Heliyon, 2023 We propose a demodulation algorithm based on the calculus of the complex Fourier coefficients; we used a dual rotating polarizer-analyzer polarimeter to show the feasibility of our proposal.
Geliztle A. Parra-Escamilla +3 more
doaj +2 more sources
The Empirical Distribution of Fourier Coefficients
Annals of Statistics, 1980 Suppose $X_1, X_2, \cdots$ are independent, identically distributed complex-valued $L^2$ random variables with $EX_1 = 0$ and $E(|X_1|^2) = 1$. Let $Y_{nk}$ be the $k$th Fourier coefficient of $X_1, \cdots, X_n$: $Y_{nk} = \sum^n_{j=1} X_j \exp \big(\frac{2\pi(-1)^{1/2}kj}{n}\big).$ Let $\mu_n$ be the empirical distribution of $\{n^{-1/2}Y_{nk}: k = 1,
David A Freedman
exaly +3 more sources
Fourier coefficients for Laguerre–Sobolev type orthogonal polynomials [PDF]
Arab Journal of Mathematical Sciences, 2023 Purpose – In this paper, the authors take the first step in the study of constructive methods by using Sobolev polynomials. Design/methodology/approach – To do that, the authors use the connection formulas between Sobolev polynomials and classical ...
Alejandro Molano
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Exact Reconstruction of Extended Exponential Sums using Rational Approximation of their Fourier Coefficients [PDF]
Analysis and Applications, 2021 In this paper, we derive a new recovery procedure for the reconstruction of extended exponential sums of the form [Formula: see text], where the frequency parameters [Formula: see text] are pairwise distinct.
Nadiia Derevianko, G. Plonka-Hoch
semanticscholar +1 more source
Journal of Optimization, Differential Equations and Their Applications, 2023 For the problem of optimal control of a parabolic-hyperbolic process with nonlocal point boundary conditions, an explicit form of the solution is obtained in the form of formal series according to the system of eigenfunctions, which are generated by the ...
Volodymyr O. Kapustyan +3 more
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Alternative Method to Estimate the Fourier Expansions and Its Rate of Change
Mathematics, 2022 This paper presents a methodology to obtain the Fourier coefficients (FCs) and the derivative Fourier coefficients (DFCs) from an input signal. Based on the Taylor series that approximates the input signal into a trigonometric signal model through the ...
Johnny Rodríguez-Maldonado +2 more
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Coefficients of multiple Fourier-Haar series and variational modulus of continuity
Қарағанды университетінің хабаршысы. Математика сериясы, 2023 In this paper, we introduce the concept of a variational modulus of continuity for functions of several variables, give an estimate for the sum of the coefficients of a multiple Fourier-Haar series in terms of the variational modulus of continuity, and ...
T.B. Akhazhanov +3 more
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Scientific Reports, 2022 Chirps are familiar in nature, have a built-in resistance to noise and interference, and are connected to a wide range of highly oscillatory processes.
Omar T. Bafakeeh +9 more
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