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Relevant bibliographies by topics / Finite Exponential Fourier Decomposition

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Academic literature on the topic 'Finite Exponential Fourier Decomposition'

Author: Grafiati

Published: 4 June 2021

Last updated: 10 February 2022

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Journal articles on the topic "Finite Exponential Fourier Decomposition"

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NWOGU, OKEY G. "Interaction of finite-amplitude waves with vertically sheared current fields." Journal of Fluid Mechanics 627 (May 25, 2009): 179–213. http://dx.doi.org/10.1017/s0022112009005850.

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A computationally efficient numerical method is developed to investigate nonlinear interactions between steep surface gravity waves and depth-varying ocean currents. The free-surface boundary conditions are used to derive a coupled set of equations that are integrated in time for the evolution of the free-surface elevation and tangential component of the fluid velocity at the free surface. The vector form of Green's second identity is used to close the system of equations. The closure relationship is consistent with Helmholtz's decomposition of the velocity field into rotational and irrotation

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Xavier, G. B. A., B. Govindan, S. J. Borg, and M. Meganathan. "Finite Fourier decomposition of signals using generalized difference operator." Scientific Publications of the State University of Novi Pazar Series A: Applied Mathematics, Informatics and mechanics 9, no. 1 (2017): 47–57. http://dx.doi.org/10.5937/spsunp1701047x.

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CAO, XIWANG, and GUANGKUI XU. "A NOTE ON SOME CHARACTER SUMS OVER FINITE FIELDS." Bulletin of the Australian Mathematical Society 92, no. 1 (2015): 32–43. http://dx.doi.org/10.1017/s0004972715000301.

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In this paper, we present a decomposition of the elements of a finite field and illustrate the efficiency of this decomposition in evaluating some specific exponential sums over finite fields. The results can be employed in determining the Walsh spectrum of some Boolean functions.

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Springer, Mark C. "A decomposition approximation for finite-buffered flow lines of exponential queues." European Journal of Operational Research 74, no. 1 (1994): 95–110. http://dx.doi.org/10.1016/0377-2217(94)90207-0.

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Thiessen, David B., Timothy M. Marston, and Philip L. Marston. "Finite cylinder mode identification in scattering using finite elements, Fourier decomposition, and background subtraction." Journal of the Acoustical Society of America 129, no. 4 (2011): 2686. http://dx.doi.org/10.1121/1.3589016.

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PETERSSON, HENRIK. "GENERALIZED ANALYTIC FUNCTIONS ON THE COUNTABLE PRODUCT AND DIRECT SUM OF THE COMPLEX NUMBERS." Infinite Dimensional Analysis, Quantum Probability and Related Topics 04, no. 04 (2001): 559–67. http://dx.doi.org/10.1142/s0219025701000590.

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A classical result states that, in n variables, the space of the entire functionals can be identified with the space of exponential type functions via the Fourier–Borel transform. Thus, in this way the spaces of the entire and exponential type functions can be put in duality, the Martineau duality. We give a proof that the entire functionals, on the countable direct product and direct sum of the field of complex numbers, can be identified with exponential type functions in the same way. In other words, we show that the infinite dimensional Fourier–Borel transform defines Martineau dualities an

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Kowalski, Emmanuel, and William F. Sawin. "Kloosterman paths and the shape of exponential sums." Compositio Mathematica 152, no. 7 (2016): 1489–516. http://dx.doi.org/10.1112/s0010437x16007351.

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We consider the distribution of the polygonal paths joining partial sums of classical Kloosterman sums$\text{Kl}_{p}(a)$, as$a$varies over$\mathbf{F}_{p}^{\times }$and as$p$tends to infinity. Using independence of Kloosterman sheaves, we prove convergence in the sense of finite distributions to a specific random Fourier series. We also consider Birch sums, for which we can establish convergence in law in the space of continuous functions. We then derive some applications.

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Bergé, Joel, Richard Massey, Quentin Baghi, and Pierre Touboul. "Exponential shapelets: basis functions for data analysis of isolated features." Monthly Notices of the Royal Astronomical Society 486, no. 1 (2019): 544–59. http://dx.doi.org/10.1093/mnras/stz787.

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Abstract We introduce one- and two-dimensional ‘exponential shapelets’: orthonormal basis functions that efficiently model isolated features in data. They are built from eigenfunctions of the quantum mechanical hydrogen atom, and inherit mathematics with elegant properties under Fourier transform, and hence (de)convolution. For a wide variety of data, exponential shapelets compress information better than Gauss–Hermite/Gauss–Laguerre (‘shapelet’) decomposition, and generalize previous attempts that were limited to 1D or circularly symmetric basis functions. We discuss example applications in a

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Akar, Nail, and Khosrow Sohraby. "Infinite- and finite-buffer Markov fluid queues: a unified analysis." Journal of Applied Probability 41, no. 02 (2004): 557–69. http://dx.doi.org/10.1017/s0021900200014509.

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In this paper, we study Markov fluid queues where the net fluid rate to a single-buffer system varies with respect to the state of an underlying continuous-time Markov chain. We present a novel algorithmic approach to solve numerically for the steady-state solution of such queues. Using this approach, both infinite- and finite-buffer cases are studied. We show that the solution of the infinite-buffer case is reduced to the solution of a generalized spectral divide-and-conquer (SDC) problem applied on a certain matrix pencil. Moreover, this SDC problem does not require the individual computatio

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Akar, Nail, and Khosrow Sohraby. "Infinite- and finite-buffer Markov fluid queues: a unified analysis." Journal of Applied Probability 41, no. 2 (2004): 557–69. http://dx.doi.org/10.1239/jap/1082999086.

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In this paper, we study Markov fluid queues where the net fluid rate to a single-buffer system varies with respect to the state of an underlying continuous-time Markov chain. We present a novel algorithmic approach to solve numerically for the steady-state solution of such queues. Using this approach, both infinite- and finite-buffer cases are studied. We show that the solution of the infinite-buffer case is reduced to the solution of a generalized spectral divide-and-conquer (SDC) problem applied on a certain matrix pencil. Moreover, this SDC problem does not require the individual computatio

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Dissertations / Theses on the topic "Finite Exponential Fourier Decomposition"

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Oygur, Ozgur Sinan. "Semi Analytical Study Of Stress And Deformation Analysis Of Anisotropic Shells Of Revolution Including First Order Transverse Shear Deformation." Master's thesis, METU, 2008. http://etd.lib.metu.edu.tr/upload/2/12609870/index.pdf.

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In this study, anisotropic shells of revolution subject to symmetric and unsymmetrical static loads are analysed. In derivation of governing equations to be used in the solution, first order transverse shear effects are included in the formulation. The governing equations can be listed as kinematic equations, constitutive equations, and equations of motion. The equations of motion are derived from Hamilton&rsquo<br>s principle, the constitutive equations are developed under the assumptions of the classical lamination theory and the kinematic equations are based on the Reissner-Naghdi linear sh

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Lan, Shuang Wen. "Stochastic finite element analysis of structures with elementary stiffness matrix decomposition method and exponential polynomial moment method." Thesis, University of Macau, 2010. http://umaclib3.umac.mo/record=b2148241.

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Yavuzbalkan, Erdem. "Free Vibration Analysis Of Anisotropic Laminated Composite Shells Of Revolution." Master's thesis, METU, 2005. http://etd.lib.metu.edu.tr/upload/3/12606505/index.pdf.

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In this thesis, the free vibration analysis of anisotropic laminated composite shells of revolution (ALCSOR) is studied. The governing equations are kinematic, constitutive, and motion equations. Geometrically linear strain-displacement equations of Reissner-Naghdi shell theory in combination with first-order shear deformation theory in which transverse shear and rotatory inertia effects are taken into consideration. The constitutive relations are for macrosopically ALCSOR in which statically equivalent force and moment resultants, instead of internal stresses for a single layer, are introduce

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Myronova, Mariia. "Applications of finite reflection groups in Fourier analysis and symmetry breaking of polytopes." Thesis, 2021. http://hdl.handle.net/1866/25600.

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Cette thèse présente une étude des applications des groupes de réflexion finis aux problems liés aux réseaux bidimensionnels et aux polytopes tridimensionnels. Plusieurs familles de fonctions orbitales, appelées fonctions orbitales de Weyl, sont associées aux groupes de réflexion cristallographique. Les propriétés exceptionnelles de ces fonctions, telles que l’orthogonalité continue et discrète, permettent une analyse de type Fourier sur le domaine fondamental d’un groupe de Weyl affine correspondant. Dans cette considération, les fonctions d’orbite de Weyl constituent des outils efficaces pou

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Book chapters on the topic "Finite Exponential Fourier Decomposition"

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Newman, D. J. "Finite Type Functions as Limits of Exponential Sums." In The Journal of Fourier Analysis and Applications. CRC Press, 2020. http://dx.doi.org/10.1201/9780429332838-29.

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Conference papers on the topic "Finite Exponential Fourier Decomposition"

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Mei Chen, Yan Liu, and Mingguang Zhuang. "High dimension finite mixture Gaussian model estimation for short time Fourier decomposition by EM-algorithm." In 2008 International Conference on Information and Automation (ICIA). IEEE, 2008. http://dx.doi.org/10.1109/icinfa.2008.4608086.

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Schnier, Tobias, Carsten Bockelmann, and Armin Dekorsy. "Reduction of necessary data rate for neural data through exponential and sinusoidal spline decomposition using the Finite Rate of Innovation framework." In 2017 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP). IEEE, 2017. http://dx.doi.org/10.1109/icassp.2017.7952273.

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Li, Xiangyun, Ping Zhao, and Q. J. Ge. "A Fourier Descriptor Based Approach to Design Space Decomposition for Planar Motion Approximation." In ASME 2012 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. American Society of Mechanical Engineers, 2012. http://dx.doi.org/10.1115/detc2012-71264.

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This paper deals with the classical problem of dimensional synthesis of planar four-bar linkages for motion generation. Using Fourier Descriptors, a given motion is represented by two finite harmonic series, one for translational component of the motion and the other for rotational component. It is shown that there is a simple linear relationship between harmonic content of the rotational motion and that of the translational motion for a planar four-bar linkage. Furthermore, it is shown that the rotational component can be used to identify the initial angle and the link ratios of a four-bar li

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Liu, Fushun, Jinchao Cao, Jiefeng Chen, Wenlong Yang, and Wei Li. "Non-Harmonic Decomposition of Sea Measured Data of Offshore Platforms." In ASME 2016 35th International Conference on Ocean, Offshore and Arctic Engineering. American Society of Mechanical Engineers, 2016. http://dx.doi.org/10.1115/omae2016-54711.

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The measured data are often required and taken as the input of different kinds of algorithms for modal parameter identification, model updating and/or damage detection of offshore platforms. This paper investigates the application performance of the approach to offshore platforms, by using real measured data. Considering the fact of a recorded loading is always finite in duration, most likely aperiodic, and even damped because of the existence of damping of the structures, a recent developed complex exponential decomposition method [1] was employed to deal with real measured data. Therefore, i

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Pietryga, Michael P., Ivaylo N. Vladimirov, and Stefanie Reese. "Influence of Explicit and Implicit Integration of Hyperelastic-Plastic Combined Hardening Models on the Springback in Sheet Forming." In ASME 2014 12th Biennial Conference on Engineering Systems Design and Analysis. American Society of Mechanical Engineers, 2014. http://dx.doi.org/10.1115/esda2014-20372.

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In this paper, we investigate the computational efficiency of explicit and implicit integration schemes for hyperelastic-plastic combined hardening plasticity and examine the influence on the simulated springback in sheet metal forming. Due to the deviatoric character of the evolution equations, the finite strain combined hardening model discussed here is integrated by means of the exponential map algorithm in order to fulfil plastic incompressibility. We focus here on different possibilities of evaluating the exponential tensor functions of the material model. One option is to use the spectra

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Brundage, Aaron L., Kenneth L. Erickson, and Kevin J. Dowding. "Thermal Decomposition Modeling and Thermophysical Property Measurement of a Highly Crosslinked Polymer Composite." In ASME 2009 International Mechanical Engineering Congress and Exposition. ASMEDC, 2009. http://dx.doi.org/10.1115/imece2009-12473.

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Thermophysical properties including density, specific heat, and thermal diffusivity of a poly (diallyl phthalate) inert filler composite material were characterized over a wide temperature range from room temperature to 800 °C. Over this temperature range, the material decomposition was approximated by a one-step process with first-order kinetics. Thermal kinetics data were obtained by thermal gravimetric analysis with Fourier transform infrared spectroscopy (TGA-FTIR) and thermophysical properties were obtained from differential scanning calorimetry (DSC) and laser flash diffusivity experimen

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Georgiou, Ioannis T., and Christos I. Papadopoulos. "A Proper Orthogonal Decomposition Analysis to Identify the Dominant Modes of the Steady State Acoustic Pressure Field in a Cavity." In ASME 2003 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. ASMEDC, 2003. http://dx.doi.org/10.1115/detc2003/vib-48495.

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The technique of Proper Orthogonal Decomposition (POD) has been used to develop an identification tool to analyze steady state dynamics in acoustics. The information on the dynamics needed for the POD technique is obtained by solving numerically with the method of finite elements the wave equation inside a cavity. The POD technique identifies optimum spatial patterns it terms of Proper Orthogonal Modes. The steady state sound pressure field in a cavity excited by a single harmonic source responds with a very small number of POD modes. Under certain forcing conditions, the POD modes are identic

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Grimm, Felix, Jean-Michel Lourier, Oliver Lammel, Berthold Noll, and Manfred Aigner. "A Selective Fast Fourier Filtering Approach Applied to High Frequency Thermoacoustic Instability Analysis." In ASME Turbo Expo 2017: Turbomachinery Technical Conference and Exposition. American Society of Mechanical Engineers, 2017. http://dx.doi.org/10.1115/gt2017-63234.

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A method for selective, frequency-resolved analysis of spatially distributed, time-coherent data is introduced. It relies on filtering of Fourier-processed signals with periodic structures in frequency-domain. Therefrom extracted information can be analyzed in both, frequency- and time-domain using an inverse transformation ansatz. In the presented paper, the approach is applied to a laboratory scale, twelve nozzle FLOX®-GT-burner for the investigation of high-frequency thermoacoustic pressure oscillations and limit-cycle mechanisms. The burner is operated at elevated pressure for partially pr

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Mensah, Patrick F., Michael A. Stubblefield, Omer Soysal, and Guoqiang Li. "Numerical Model for Thermal and Material Characterization of FRP Composite Pipes Exposed to Hydrocarbon Fire." In ASME 2001 Engineering Technology Conference on Energy. American Society of Mechanical Engineers, 2001. http://dx.doi.org/10.1115/etce2001-17002.

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Abstract Modeling of the fire performance of fiberglass reinforced composite pipe was investigated in this study. A multidimensional heat transfer model was developed and used to capture the essentials of thermal transport and material decomposition. A finite difference modeling (FDM) numerical approach is used in solving the coupled multidimensional Fourier equation with chemical decomposition response model. The fire resistance of a dry hydrocarbon fire test is simulated in this analysis. Transient temperature distributions in the joined section of a composite-to-composite FRP pipe where fai

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Henninger, Stefan, Peter Jeschke, Graham Ashcroft, and Edmund Kügeler. "Time-Domain Implementation of Higher-Order Non-Reflecting Boundary Conditions for Turbomachinery Applications." In ASME Turbo Expo 2015: Turbine Technical Conference and Exposition. American Society of Mechanical Engineers, 2015. http://dx.doi.org/10.1115/gt2015-42362.

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The present paper demonstrates the time-domain implementation of arbitrary-order non-reflecting boundary conditions for a 3d non-linear time-accurate RANS solver for turbomachinery applications. The conditions are based on the 2d circumferential mode decomposition of the linearized Euler equations. The exact linearized conditions are non-local since they involve space-time Fourier/Laplace transforms. Time-local conditions of arbitrary order are obtained by approximation of the inverse Laplace transform Bessel function convolution kernel by sums of exponential functions. Likewise, this correspo

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