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Dissertations / Theses on the topic 'Harmonic analysis'

Author: Grafiati

Published: 4 June 2021

Last updated: 9 June 2025

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1

Wright, P. S. "The accurate analysis of smoothly fluctuating harmonics applied to the calibration of harmonic analysers." Thesis, University of Surrey, 2002. http://epubs.surrey.ac.uk/843265/.

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The aim of this research is to develop an accurate method for the analysis of signals composed of fluctuating harmonics. The results obtained of analysis are applied to the calibration of harmonic analysis instruments. A new method is presented suitable for the accurate analysis of smoothly fluctuating harmonic signals. The method is based on a model of signals with a known period, in which the harmonics are individually modulated by polynomial functions normalised over a sampled signal sequence time. Using this model, a decomposition method is developed such that the modulating polynomials ca

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2

Scurry, James. "One and two weight theory in harmonic analysis." Diss., Georgia Institute of Technology, 2013. http://hdl.handle.net/1853/47565.

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This thesis studies several problems dealing with weighted inequalities and vector-valued operators. A weight is a nonnegative locally integrable function, and weighted inequalities refers to studying a given operator's continuity from one weighted Lebesgue space to another. The case where the underlying measure of both Lebesgue spaces is given by the same weight is known as a one weight inequality and the case where the weights are different is called a two weight inequality. These types of inequalities appear naturally in harmonic analysis from attempts to extend classical results to functio

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3

Lak, Rashad Rashid Haji. "Harmonic analysis using methods of nonstandard analysis." Thesis, University of Birmingham, 2015. http://etheses.bham.ac.uk//id/eprint/5754/.

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Throughout this research we use techniques of nonstandard analysis to derive and interpret results in classical harmonic analysis particularly in topological (metric) groups and theory of Fourier series. We define monotonically definable subset \(N\) of a nonstandard *finite group \(F\), which is the monad of the neutral element of \(F\) for some invariant *metric \(d\) on \(F\). We prove some nice properties of \(N\) and the nonstandard metrisation version of first-countable Hausdorff topological groups. We define locally embeddable in finite metric groups (LEFM). We show that every abelian g

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4

Van, der Merwe Marius. "Harmonic mixer analysis and design." Thesis, Stellenbosch : Stellenbosch University, 2002. http://hdl.handle.net/10019.1/52872.

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Thesis (MScEng) -- Stellenbosch University, 2002.<br>Some digitised pages may appear illegible due to the condition of the original hard copy.<br>ENGLISH ABSTRACT: Harmonic mixers are capable of extended frequency operation by mixing with a harmonic of the LO (local oscillator) signal, eliminating the need for a high frequency, high power LO. Their output spectra also have certain characteristics that make them ideal for a variety of applications. The operation of the harmonic mixer is investigated, and the mixer is analyzed using an extension of the classic mixer theory. The synthesis of

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5

Li, Jialun. "Harmonic analysis of stationary measures." Thesis, Bordeaux, 2018. http://www.theses.fr/2018BORD0311/document.

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Soit μ une mesure de probabilité borélienne sur SL m+1 (R) tel que le sous-groupe engendré par le support de μ est Zariski dense. Soit V une représentation irréductible de dimension finie de SL m+1 (R). D’après un théorème de Furstenberg, il existe une unique mesure μ-stationnaire sur PV et nous nous somme intéressés à la décroissance de Fourier de cette mesure. Le résultat principal de cette thèse est que la transformée de Fourier de la mesure stationnaire a une décroissance polynomiale. À partir de ce résultat, nous obtenons un trou spectral de l’opérateur de transfert, dont les propriétés n

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6

Thunberg, Erik. "On the Benefit of Harmonic Measurements in Power Systems." Doctoral thesis, Stockholm, 2001. http://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-3219.

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7

Smith, Zachary J. "The Bochner Identity in Harmonic Analysis." Fogler Library, University of Maine, 2007. http://www.library.umaine.edu/theses/pdf/SmithZJ2007.pdf.

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8

Chung, Kin Hoong School of Mathematics UNSW. "Compact Group Actions and Harmonic Analysis." Awarded by:University of New South Wales. School of Mathematics, 2000. http://handle.unsw.edu.au/1959.4/17639.

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A large part of the structure of the objects in the theory of Dooley and Wildberger [Funktsional. Anal. I Prilozhen. 27 (1993), no. 1, 25-32] and that of Rouviere [Compositio Math. 73 (1990), no. 3, 241-270] can be described by considering a connected, finite-dimentional symmetric space G/H (as defined by Rouviere), with ???exponential map???, Exp, from L G/L H to G/H, an action, ???: K ??? Aut??(G) (where Aut?? (G) is the projection onto G/H of all the automorphisms of G which leave H invariant), of a Lie group, K, on G/H and the corresponding action, ???# , of K on L G/L H defined by g ??? L

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9

Digby, G. "Harmonic analysis of A.C. traction schemes." Thesis, Swansea University, 1988. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.233938.

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10

Xu, Zengfu. "Harmonic analysis on Chébli-Trimèche hypergroups." Thesis, Xu, Zengfu (1994) Harmonic analysis on Chébli-Trimèche hypergroups. PhD thesis, Murdoch University, 1994. https://researchrepository.murdoch.edu.au/id/eprint/51538/.

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In this thesis we develop the theory on Chebli-Trimeche hypergroups of such topics as maximal functions, the convergence and boundedness of certain convolution operator families in Lp spaces and Hardy spaces as well as Fourier multipliers. As the basis of the theory we first investigate the Schwartz classes, Plancherel measure and hypergroup characters on these hypergroups, and establish basic facts about approximations to the identity and the important results concerning Fourier transforms and the estimates for the Plancherel measure and characters. These lead to estimates for the translation

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11

Lai, Tsz-ming Terence. "Harmonic simulation of traction system /." Hong Kong : University of Hong Kong, 2000. http://sunzi.lib.hku.hk/hkuto/record.jsp?B21929543.

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12

Lidberg, Petter. "Barycentric and harmonic coordinates." Thesis, Uppsala universitet, Algebra och geometri, 2012. http://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-179487.

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13

Renz, Adrian Daniel. "A Comparison Of Harmonic And Holomorphic Functions." Thesis, Mälardalens högskola, Akademin för utbildning, kultur och kommunikation, 2020. http://urn.kb.se/resolve?urn=urn:nbn:se:mdh:diva-48865.

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Many results in real and complex analysis are the consequence of mean value properties and theorems. This is the case for harmonic and holomorphic functions as well. The mean value property builds the foundation for several properties of each set of functions. Using this property one can derive more properties like the maximum principle for harmonic functions and the maximum modulus principle for holomorphic functions. These results are then used to show other properties. The goal is to compare the theorems and proofs for harmonic and holomorphic functions and to understand why the results see

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14

Hickman, Jonathan Edward. "Topics in affine and discrete harmonic analysis." Thesis, University of Edinburgh, 2015. http://hdl.handle.net/1842/10559.

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In this thesis a number of problems in harmonic analysis of a geometric flavour are discussed and, in particular, the Lebesgue space mapping properties of certain averaging and Fourier restriction operators are studied. The first three chapters focus on the perspective afforded by affine-geometrical considerations whilst the remaining chapter considers some discrete variants of these problems. In Chapter 1 there is an overview of the basic affine theory of the aforementioned operators and, in particular, the affine arc-length and surface measures are introduced. Chapter 2 presents work of the

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15

Salahifar, Raydin. "Analysis of Pipeline Systems Under Harmonic Forces." Thesis, Université d'Ottawa / University of Ottawa, 2011. http://hdl.handle.net/10393/19820.

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Starting with tensor calculus and the variational form of the Hamiltonian functional, a generalized theory is formulated for doubly curved thin shells. The formulation avoids geometric approximations commonly adopted in other formulations. The theory is then specialized for cylindrical and toroidal shells as special cases, both of interest in the modeling of straight and elbow segments of pipeline systems. Since the treatment avoids geometric approximations, the cylindrical shell theory is believed to be more accurate than others reported in the literature. By adopting a set of consistent geom

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16

Bayan, Nima. "Harmonic flow analysis in power distribution networks." Thesis, National Library of Canada = Bibliothèque nationale du Canada, 1999. http://www.collectionscanada.ca/obj/s4/f2/dsk1/tape8/PQDD_0011/MQ52509.pdf.

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17

Uppalapati, Sunitha. "Development of Application Program for Harmonic Analysis." MSSTATE, 2002. http://sun.library.msstate.edu/ETD-db/theses/available/etd-11072002-153105/.

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Increased power quality problems due to intensive usage of power electronic devices resulted in development of software applications to perform quick harmonic analysis. However, the present harmonic analysis applications have special software or computer locks requirements and occupy huge memory and cost high. An application program (using Microsoft Visual C++) that is simple yet accurate in calculations; with no special software or high memory requirements is developed in this thesis work. The program uses the automatic acceptance criteria (AAC) and the harmonic penetration techniques in calc

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18

Datta, Somantika. "Wiener's generalized harmonic analysis and waveform design." College Park, Md. : University of Maryland, 2007. http://hdl.handle.net/1903/6701.

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Thesis (Ph. D.) -- University of Maryland, College Park, 2007.<br>Thesis research directed by: Mathematics. Title from t.p. of PDF. Includes bibliographical references. Published by UMI Dissertation Services, Ann Arbor, Mich. Also available in paper.

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19

Li, Qifan. "Two results in Harmonic analysis and PDEs." Doctoral thesis, Norges teknisk-naturvitenskapelige universitet, Institutt for matematiske fag, 2014. http://urn.kb.se/resolve?urn=urn:nbn:no:ntnu:diva-24801.

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20

Stones, Brendan. "Aspects of harmonic analysis over finite fields." Thesis, University of Edinburgh, 2005. http://hdl.handle.net/1842/14492.

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In this thesis we study three topics in Harmonic Analysis in the finite field setting. The methods used are purely combinatorial in nature. We prove a sharp result for the maximal operator associated to dilations of quadric surfaces. We use Christ’s method ([Christ, Convolution, Curvature and Combinatorics. A case study, International Math. Research Notices 19 (1998)]), for L<sup>p</sup>→ L<sup>q</sup> estimates for convolution with the twisted n-bic curve in the European setting, to give L<sup>p</sup> → L<sup>q</sup> estimates for convolution with k-dimensional surfaces in the finite field se

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21

Bell, James Joseph. "Input harmonic and mixing behavioural model analysis." Thesis, Cardiff University, 2014. http://orca.cf.ac.uk/64151/.

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This thesis details the necessary evolutions to Cardiff University's HF measurement system and current CAD model implementation to allow for input second harmonic and mixing models to be measured, generated, and simulated. A coherent carrier distribution system was built to allow four Agilent PSGs to be trigger linked, thus enabling for the first time three harmonic active source- and load-pull measurements at X-band. Outdated CAD implementations of the Cardiff Model were made dynamic with the use of ADS' AEL. The move to a program controlled schematic population for the model allows for any t

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22

Oliver, Douglas L. "Analysis of a Pseudo-Harmonic Tubular Bell." University of Toledo / OhioLINK, 2017. http://rave.ohiolink.edu/etdc/view?acc_num=toledo149980725594691.

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23

Gidelew, Getnet Abebe. "Topics in Harmonic Analysis on Combinatorial Graphs." Diss., Temple University Libraries, 2014. http://cdm16002.contentdm.oclc.org/cdm/ref/collection/p245801coll10/id/262601.

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Mathematics<br>Ph.D.<br>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 astronomy. My thesis is devoted to sampling, interpolation, approximation, and multi-resolution on graphs. The results in the existing literature concern mainly with these theories on unweighted graphs. My main objective is to extend existing theories and obtain new results ab

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24

Harris, Stephen Elliott Ian. "Restriction and isoperimetric inequalities in harmonic analysis." Thesis, University of Edinburgh, 2015. http://hdl.handle.net/1842/14168.

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We study two related inequalities that arise in Harmonic Analysis: restriction type inequalities and isoperimetric inequalities. The (Lp, Lq) Restriction type inequalities have been the subject of much interest since they were first conceived in the 1960s. The classical restriction type inequality involving surfaces of non-vanishing curvature is only fully resolved in two dimensions and there have been a lot of recent developments to establish the conjectured (p,q) range in higher dimensions. However, it also interesting to consider what can be said for curves where the curvature does vanish.

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25

Gautam, Sushrut Zubin Sulaksh. "Two geometric obstruction results in harmonic analysis." Diss., Restricted to subscribing institutions, 2009. http://proquest.umi.com/pqdweb?did=1872162601&sid=1&Fmt=2&clientId=1564&RQT=309&VName=PQD.

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26

Goh, K. M. "Harmonic analysis of power systems containing multiple convertors." Thesis, Staffordshire University, 1988. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.382488.

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27

Mattsson, Tobias. "Abstract Harmonic Analysis on Locally Compact Abelian Groups." Thesis, Uppsala universitet, Analys och sannolikhetsteori, 2018. http://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-354740.

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28

Cavina, Michelangelo. "Bellman functions and their method in harmonic analysis." Master's thesis, Alma Mater Studiorum - Università di Bologna, 2019. http://amslaurea.unibo.it/19214/.

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This work uses the method of the Bellman function to show a new proof of Hardy's inequality for Carleson measures. Bellman functions come from the theory of stochastic optimal control and there is a method to prove theorems about inequalities over dyadic trees (which have applications in harmonic analysis) that takes inspiration from concepts from the theory of the Bellman functions. The work will display the important concepts of the theory of Bellman functions in stochastic analysis, will show how to use the method of the Bellman function to prove the estimate over dyadic trees for Carleson

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29

Wang, Simeng. "Some problems in harmonic analysis on quantum groups." Thesis, Besançon, 2016. http://www.theses.fr/2016BESA2062/document.

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Cette thèse étudie quelques problèmes d’analyse harmonique sur les groupes quantiques compacts. Elle consiste en trois parties. La première partie présente la théorie Lp élémentaire des transformées de Fourier, les convolutions et les multiplicateurs sur les groupes quantiques compacts, y compris la théorie de Hausdorff-Young et les inégalités de Young.Dans la seconde partie, nous caractérisons les opérateurs de convolution positifs sur un groupe quantique fini qui envoient Lp dans L2, et donnons aussi quelques constructions sur les groupes quantiques compacts infinis. La méthode pour étudier

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30

Granroth-Wilding, Mark Thomas. "Harmonic analysis of music using combinatory categorial grammar." Thesis, University of Edinburgh, 2013. http://hdl.handle.net/1842/8019.

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Various patterns of the organization of Western tonal music exhibit hierarchical structure, among them the harmonic progressions underlying melodies and the metre underlying rhythmic patterns. Recognizing these structures is an important part of unconscious human cognitive processing of music. Since the prosody and syntax of natural languages are commonly analysed with similar hierarchical structures, it is reasonable to expect that the techniques used to identify these structures automatically in natural language might also be applied to the automatic interpretation of music. In natural langu

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31

Bärlund, Johnny. "Numerical Investigation on Spherical Harmonic Synthesis and Analysis." Thesis, KTH, Geodesi och satellitpositionering, 2015. http://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-171779.

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In this thesis work the accuracy of the spherical harmonic synthesis and analysis are investigated, by simulated numerical studies.The main idea is to investigate the loss of accuracy, in the geopotential coeffcients, by the following testing method. We start with a synthesis calculation, using the coefficients(EGM2008), to calculate geoid heights on a regular grid. Those geoid heights are then used in an analysis calculation to obtain a new set of coeffcients, which are in turn used to derive a new set of geoid heights. The difference between those two sets of geoid heights will be analyzed t

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32

Zhou, Jun. "Harmonic Analysis of Linea Continuous-Time Periodic Systems." 京都大学 (Kyoto University), 2001. http://hdl.handle.net/2433/77905.

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33

Russell, Michael L. "The Phenomenology of Harmonic Progression." Thesis, University of North Texas, 2020. https://digital.library.unt.edu/ark:/67531/metadc1703408/.

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This dissertation explores a method of music analysis that is designed to reflect the phenomenology of the listening experience, specifically in regards to harmony. It is primarily inspired by the theoretical approaches of the music theorist Moritz Hauptmann and by the writings of philosopher Edmund Husserl.

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34

SALOGNI, FRANCESCA. "Harmonic Bergman spaces, Hardy-type spaces and harmonic analysis of a symmetric diffusion semigroup on R^n." Doctoral thesis, Università degli Studi di Milano-Bicocca, 2013. http://hdl.handle.net/10281/41814.

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This thesis is divided into two parts, which deal with quite diverse subjects. The first part is, in turn, divided into two chapters. The first focuses on the development of new function spaces in $R^n$, called generalized Bergman spaces, and on their application to the Hardy space $H^1(R^n)$. The second is devoted to the theory of Bergman spaces on noncompact Riemannian manifolds which possess the doubling property and to its relationships with spaces of Hardy type. The latter are tailored to produce endpoint estimates for interesting operators, mainly related to the Laplace-Beltrami op

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35

Lai, Tsz-ming Terence, and 黎子明. "Harmonic simulation of traction system." Thesis, The University of Hong Kong (Pokfulam, Hong Kong), 2000. http://hub.hku.hk/bib/B3122281X.

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36

Manna, Utpal. "Harmonic and stochastic analysis aspects of the fluid dynamics equations." Laramie, Wyo. : University of Wyoming, 2007. http://proquest.umi.com/pqdweb?did=1414120661&sid=1&Fmt=2&clientId=18949&RQT=309&VName=PQD.

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37

Abat, Diren. "Harmonic Vibration Analysis Of Large Structures With Local Nonlinearity." Master's thesis, METU, 2009. http://etd.lib.metu.edu.tr/upload/2/12610475/index.pdf.

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With the rapid development in today&rsquo<br>s technology, reliability and performance requirements on components of various mechanical systems, which tend to be much lighter and work under much more severe working conditions, dramatically increased. In general, analysis techniques based on simplified model of structural components with linearity assumption may provide time saving for solutions with reasonable accuracy. However, since most engineering structures are often very complex and intrinsically nonlinear, in some cases they may behave in a different manner which cannot be fully describ

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38

Christoforidis, George P. "Harmonic analysis of power systems connected to converter substations." Diss., Georgia Institute of Technology, 1990. http://hdl.handle.net/1853/14994.

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39

Woodington, Simon Philip. "Behavioural model analysis of active harmonic load-pull measurements." Thesis, Cardiff University, 2011. http://orca.cf.ac.uk/13000/.

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In this thesis, an investigation of the use of the poly-harmonic distortion model and related techniques is conducted, and applied to model fundamental and harmonic load-pull. Contained within the thesis is a detailed review of the development of the poly-harmonic distortion model and related methods. This thesis shows that although the poly-harmonic distortion model improves on the prediction of fundamental load-pull, over Hot-S-Parameters it still has a limited range of application. To address this observation, higher order models have been investigated along with Fourier methods allowing ra

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40

Gu, Xinyi. "Harmonic analysis in power network with renewable power generator." Thesis, University of Strathclyde, 2017. http://digitool.lib.strath.ac.uk:80/R/?func=dbin-jump-full&object_id=28655.

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Considering the rapidly rising cost of primary fuel for electricity generation and the extensive concern of the international community for global warning, electricity generation with renewable sources has been actively developed all over the world. A large number of renewable energy generators, more highly sensitive electronic equipment and more electronics or microprocessor controllers are used in the power system. It has brought new challenges to supply quality, and thus the study of Power Quality (PQ) has become obviously important. Harmonic analysis plays an important role in PQ study bec

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41

Taylor, Brian John Sidney. "Aspects of anisotropic harmonic analysis beyond Calderón-Zygmund Theory." Thesis, University of Birmingham, 2017. http://etheses.bham.ac.uk//id/eprint/7855/.

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We consider three major parts of Fourier analysis and their role in Fefferman-Stein inequalities. The three areas can be considered as three separate topics in their own right, or as three steps to proving certain L^p-L^q inequalities via the Fefferman-Stein inequalities of the form ?R^n|Tf|²w≲?R^n|f|²Mw. The first area discussed is that of maximal functions, specifically obtaining L^p-L^q inequalities on large classes of maximal functions. We then use a simple duality argument to transfer these to operators where we have a Fefferman-Stein inequality via ||T||p→q≲||M||¹/²_(q/2γ→p/2γ). The seco

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42

Heyns, Gideon Christiaan. "Analysis of harmonic field effects in reluctance synchronous machines." Thesis, Cape Peninsula University of Technology, 2011. http://hdl.handle.net/20.500.11838/2201.

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Thesis (MTech (Electrical Engineering))--Cape Peninsula University of Technology, 2011.<br>The reluctance synchronous machine (RSM) is a type of synchronous machine which has no windings in the rotor and can be referred to as a non-excited synchronous machine. The RSM can be classified as either single or double salient machine. The single salient machine refers to saliency in the rotor only and double saliency refers to saliency in the rotor and stator. The RSM is based on the principle of reluctance, were torque is produced due to different reluctance paths within the rotor of the machi

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43

Li, Kuo-tung. "Convergence problems arising from harmonic analysis and ergodic theory /." The Ohio State University, 1994. http://rave.ohiolink.edu/etdc/view?acc_num=osu1487853913100673.

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44

Resende, Jose Wilson. "Interaction between controlled reactors and converters : a harmonic analysis." Thesis, University of Aberdeen, 1986. http://digitool.abdn.ac.uk/R?func=search-advanced-go&find_code1=WSN&request1=AAIU367868.

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This thesis presents the development of a generalised computer program to calculate harmonic currents and voltages in six and twelve-pulse thyristor controlled reactors under non-ideal conditions. Thyristor controlled reactors are a relatively new source of harmonic distortion in power systems. The steady state characteristic harmonics are well known. Other non-characteristic harmonics can, however, be generated. A detailed representation is therefore necessary. Apart from the most common non-ideal conditions, such as voltage, impedance and firing pulse unbalances, this work allows voltage har

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45

Maitra, Arindam. "A generic approach to network modeling for harmonic analysis." Diss., Mississippi State : Mississippi State University, 2002. http://library.msstate.edu/etd/show.asp?etd=etd-03272002-133910.

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46

Gray, Philippe. "Harmonic Models of Common Converter Topologies for Accurate Harmonic Analysis of Distribution Systems." Thesis, 2013. http://hdl.handle.net/1807/42850.

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Harmonic distortion in a power system can excite non-characteristic harmonics from converter interfaced loads and generators which can then propagate back into the system, exciting other harmonics in the system. In this thesis, a harmonic analysis tool is presented that is designed to perform high accuracy, computationally efficient, steady-state harmonic analysis of distribution systems when multiple converter interfaced loads and generators exist in the system. The harmonic analysis tool requires less detail and engineering time than PSCAD/EMTDC while offering reliable assessment of harmonic

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47

LI, RONG-GIAN, and 李榮乾. "Harmonic power flow analysis and the methods of suppressing harmonics." Thesis, 1988. http://ndltd.ncl.edu.tw/handle/16562086664944752849.

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48

林士煜. "Power system harmonic analysis." Thesis, 1991. http://ndltd.ncl.edu.tw/handle/80403314004726205987.

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49

Shu-Kuang, Chang, and 張曙光. "Harmonic Analysis on Torus." Thesis, 1998. http://ndltd.ncl.edu.tw/handle/80166029721337847613.

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碩士<br>東吳大學<br>數學系研究所<br>86<br>The polar coordinate on the plane generalizes to spherical coordinate in 3-dimensional Euclidean space. However, it has many other generalizations other than the spherial. For instance, the cylindrical coordinate is the direct product of it with the z-axis. The name of such coordinate comes from its decomposition of the whole space into cylinders. Just like the spherical into spheres. It is known that the space can be also decomposed into tori of various sizes. So there is the toroidal coordinate corresponding to the tori. In this paper, we introduce the toro

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50

Ghandehari, Mahya. "Harmonic analysis of Rajchman algebras." Thesis, 2010. http://hdl.handle.net/10012/5436.

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Abstract harmonic analysis is mainly concerned with the study of locally compact groups, their unitary representations, and the function spaces associated with them. The Fourier and Fourier-Stieltjes algebras are two of the most important function spaces associated with a locally compact group. The Rajchman algebra associated with a locally compact group is defined to be the set of all elements of the Fourier-Stieltjes algebra which vanish at infinity. This is a closed, complemented ideal in the Fourier-Stieltjes algebra that contains the Fourier algebra. In the Abelian case, the Rajchman alg

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