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Showing 1 to 20 of 113 for “"Harmonic Analysis"”.
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Sparse technology in weighted harmonic analysis
This dissertation is the union of two major results that we discovered during my graduate time. Both of the results involve what are called sparse families of cubes. There will also be some partial results included though they were not submitted to any peer-reviewed journal. In this work, we first …
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Harmonic analysis of transformer excitation currents
… component and a series of parallel-connected harmonic current phasors. The single-phase transformer model is extended to represent three-phase transformers under various connections, including Y/Y, Y/{dollar}\Delta{dollar}, {dollar}\Delta{dollar}/Y, and …
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Harmonic Analysis on Algebraically Irreducible Semigroups
Made available in DSpace on 2014-12-09T22:17:45Z (GMT). No. of bitstreams: 1 6901297.pdf: 1562000 bytes, checksum: 752b9438425719a19712555dd78ce577 (MD5) Previous issue date: 1967
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Harmonic analysis of radial engine torque
Thesis (B.S.)-- Massachusetts Institute of Technology, Dept. of General Engineering, 1936.
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Topics in Harmonic Analysis on Combinatorial Graphs
In recent years harmonic analysis on combinatorial graphs has attracted considerable attention. The interest is stimulated in part by multiple existing and potential applications of analysis on graphs to information theory, signal analysis, image processing, computer sciences, learning theory, and …
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Discrete Harmonic Analysis Associated with Jacobi Expansions
… and we study some classical operators in Harmonic Analysis in this context. Particularly, we are interested in the heat and Poisson semigroups and in the maximal operators related to them, in the Riesz transforms, and in the Littlewood-Paley-Stein g_k-functions. We obtain weighted …
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Harmonic-Analysis on Products and Weak Products
Made available in DSpace on 2014-12-11T18:24:10Z (GMT). No. of bitstreams: 1 7500253.pdf: 3532238 bytes, checksum: 34568344401074f366ecb560fa54824d (MD5) Previous issue date: 1974
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Discrete Harmonic Analysis related to classical orthogonal polynomials
… to the so-called non-trigonometric discrete Harmonic Analysis, specifically to the one associated with classical orthogonal polynomials. Its aim is the study of the discrete analogues of some classical operators in Harmonic Analysis. To be specific, the convergence problem of the multiplier …
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Numerical and Harmonic Analysis of Simplex Number Parity
… of simplex numbers by number-theoretic and harmonic methods. The regular d-simplex numbers are introduced geometrically, arithmetically, and combinatorially. We demonstrate that all sequences indexing even d-simplex numbers are defined by finitely many congruences in a single modulus, and …
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Multilinear operators in harmonic analysis: Methods and applications
We first give a survey on multilinear Hilbert transforms. Then we study several variants of bilinear Hilbert transform such as bilinear Hilbert transform along two polynomials, discrete (integer) bilinear Hilbert transform along polynomials, finite field version of bilinear Radon transform, a …
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An harmonic analysis for operators on homogeneous Banach spaces.
In this thesis, we undertake an harmonic analysis of the Banach algebra L (B) of bounded linear operators on a homogeneous Banach space B of functions on a topological abelian group G. Our analysis is divided into two major parts. In the first, we examine the case where G is compact, particularly G …
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Harmonic analysis in power network with renewable power generator
… Quality (PQ) has become obviously important. Harmonic analysis plays an important role in PQ study because harmonic has great influence on the power system equipment as well as on their operation. Harmonics can lead to operation failure of electrical and electronic components, overheating of …
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Harmonic Analysis Inspired Data Fusion for Applications in Remote Sensing
This thesis will address the fusion of multiple data sources arising in remote sensing, such as hyperspectral and LIDAR. Fusing of multiple data sources provides better data representation and classification results than any of the independent data sources would alone. We begin our investigation …
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Harmonic Analysis of a Static VAR Compensated Mixed Load System
… there is a growing concern about how the harmonics generated by these controllers and loads affect the power quality of the system. One widely used power electronic based load is the Variable Frequency Drive (VFDs) used to vary the speed of an induction motor; whereas a common example of a …
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Thoughts on harmonic analysis on the sphere: spherical wavelet frames and kernels
In the central spirit of harmonic analysis lies the concept of effectively decomposing, analyzing and representing functions or functionals. It has lead to the flourish of Fourier analysis and its modern descendants such as wavelets and its siblings. Especially, the construction of spherical …
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Distributed Energy Storage Systems: Microgrid Application, Market-Based Optimal Operation and Harmonic Analysis
… with flywheel energy storage system modeling and analysis for application in microgrid facilities. Then, a market-based optimal controller is proposed to enhance the operational profit of distributed energy storage devices in distribution networks. Finally, impact of multiple distributed energy …
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Topics in harmonic analysis and partial differential equations: extension theorems and geometric maximum principles
The present thesis consists of two main parts. In the first part, we prove that a function defined on a closed subset of a geometrically doubling quasi-metric space which satisfies a Hölder-type condition may be extended to the entire space with preservation of regularity. The proof proceeds along …
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The effect of support motion on structures: a study of the use of harmonic analysis
… range sine expansion of the Fourier series by harmonic analysis. A comparison of the results obtained by each method is made for (a) an elastic system with no damping, (b) an elastic system with ten per cent of critical damping, and (c) an elasto-plastic system with ten per cent of critical …
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