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Efficient spectral estimation by MUSIC and ESPRIT with application to sparse FFT
Frontiers in Applied Mathematics and Statistics, 2016 In spectral estimation, one has to determine all parameters of an exponential sum for finitely many (noisy)sampled data of this exponential sum.Frequently used methods for spectral estimation are MUSIC (MUltiple SIgnal Classification) and ESPRIT ...
Daniel ePotts +2 more
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The Distribution of Sum, Product and Ratio for the Absolutely Continuous Bivariate Generalized Exponential Random Variables [PDF]
The Egyptian Statistical Journal, 2017 Block and Basu bivariate exponential distribution is a standout amongst the most absolutely continuous bivariate technique . This idea can be extended to the generalized exponential technique also.
Hiba Z. Muhammed
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On values of exponential sums [PDF]
Proceedings of the American Mathematical Society, 1975 An exponential sum is defined by \[ G ( F ...
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Problem of modelling a layered medium taking into account the creep of its materials
MATEC Web of Conferences, 2018 Problems for heterogeneous materials arise in many areas of construction. This article deals with elastic-creeping layered composite materials. Relations of the theory of linear heredity of Boltzmann-Volterra are accepted.
Bobyleva Tatiana, Shamaev Alexei
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Extended Wang sum and associated products.
PLoS ONE, 2022 The Wang sum involving the exponential sums of Lerch's Zeta functions is extended to the finite sum of the Huwitz-Lerch Zeta function to derive sums and products involving cosine and tangent trigonometric functions.
Robert Reynolds, Allan Stauffer
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Fourier Quasicrystals with Unit Masses
Comptes Rendus. Mathématique, 2021 The sum of $\delta $-measures sitting at the points of a discrete set $\Lambda \subset \mathbb{R}$ forms a Fourier quasicrystal if and only if $\Lambda $ is the zero set of an exponential polynomial with imaginary frequencies.
Olevskii, Alexander +1 more
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Algebraic degrees of a class of exponential sums
四川大学学报. 自然科学版, 2020 Recently Wan studied the algebraic degrees of the exponential sums S_q(f) over a finite field F_q. In this article, basing on Wan's results, we discuss the Gauss sums for the case q=p^2 and obtain that S_q(x^d) has only two possible values, if it is of ...
Chen Chao, PENG Guo-Hua
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PLoS ONE, 2016 BackgroundSeveral studies have shown that total depressive symptom scores in the general population approximate an exponential pattern, except for the lower end of the distribution.
Shinichiro Tomitaka +6 more
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Picturesque exponential sums. II:
Journal für die reine und angewandte Mathematik (Crelles Journal), 1979 Let k be a fixed positive integer ⩾2 and let ζ = exp(2πi/k). For any integer n ⩾0 we define b(n) to be the sum of the digits of n when written to the base k.
Lehmer, D.H., Lehmer, Emma
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