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Uniform bounds for the bilinear Hilbert transforms /Li, Xiaochun, January 2001 (has links)
Thesis (Ph. D.)--University of Missouri-Columbia, 2001. / Typescript. Vita. Includes bibliographical references (leaves 136-138). Also available on the Internet.
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Uniform bounds for the bilinear Hilbert transformsLi, Xiaochun, January 2001 (has links)
Thesis (Ph. D.)--University of Missouri-Columbia, 2001. / Typescript. Vita. Includes bibliographical references (leaves 136-138). Also available on the Internet.
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Axisymmetric Contact Problems In Composite Elastic MediaAmarnath, S 05 1900 (has links) (PDF)
No description available.
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Reconstruction of Radar Images by Using Spherical Mean and Regular Radon TransformsPirbudak, Ozan 28 June 2019 (has links)
The goal of this study is the recovery of functions and finite parametric distributions from their spherical means over spheres and designing a general formula or algorithm for the reconstruction of a function f via its spherical mean transform. The theoretical study is and supported with a numerical implementation based on radar data. In this study, we approach the reconstruction problem in two different way. The first one is to show how the reconstruction problem could be converted to a Prony-type system of equations. After solving this Prony-type system of equations, one can extract the parameters that describe the corresponding functions or distributions efficiently. The second way is to solve this problem via a backprojection procedure.
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A Study of Radiofrequency Cardiac Ablation Using Analytical and Numerical TechniquesRoper, Ryan Todd 20 August 2003 (has links) (PDF)
Studies on radiofrequency (RF) ablation are often aimed at accurately predicting tissue temperature distributions by numerical solution of the bioheat equation. This thesis describes the development of an analytical solution to serve as a benchmark for subsequent numerical solutions. The solution, which was obtained using integral transforms, has the form of a surface integral nested within another surface integral. An integration routine capable of evaluating such integrals was developed and a C program was written to implement this routine. The surface integration routine was validated using a surface integral with a known analytical solution. The routine was, then, used to generate temperature profiles at various times and for different convection coefficients. To further validate the numerical methods used to obtain temperature profiles, a numerical model was developed with the same approximations used in obtaining the analytical solution. Results of the analytical and numerical solutions match very closely. In addition, three numerical models were developed to assess the validity of some of the assumptions used in obtaining the analytical solution. For each numerical model, one or two of the assumptions used in the analytical model were relaxed to better assess the degree to which they influence results. The results indicate that (1) conduction of heat into the electrode significantly affects lesion size, (2) temperature distributions can be assumed to be axisymmetric, and (3) lesion size and maximum temperature are strongly influenced by the temperature-dependence of electrical conductivity. These conclusions are consistent with results from previous studies on radiofrequency cardiac ablation.
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Análise híbrida da interação mútua escoamento/campo magnético na região de entrada de um canal de placas paralelasAssad , Gustavo Elia 25 August 2016 (has links)
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Previous issue date: 2016-08-25 / The aim of this work deals with the analysis of the mutual interaction between flow and magnetic fields that develops in a parallel-plate channel as soon as an external magnetic field is applied transversely to the plates. The fluid, electrically conductive, enters the channel under any velocity profile and will have its natural development within the channel changed by the applied magnetic field. With a coupled two-way interaction, the field will also be affected by the flow. The study of these interactions will be made from the two-dimensional version of the steady-state Navier-Stokes equations in the stream function formulation, coupled with the transport equation of the magnetic field. The solution of the governing equations will be obtained by the Generalized Integral Transform Technique (GITT). The results obtained for the velocity field, magnetic field and temperature field, as well as the associated scalar functions, are produced and compared with the literature on the basis of the main parameters of government: Reynolds number (Re), magnetic Reynolds number (Rem) and Hartmann number (Ha). In order to illustrate the consistency of the generalized integral transform technique, convergence analysis, are also performed and presented. / O objetivo do presente trabalho trata da análise da interação mútua escoamento/campo magnético que se desenvolve no interior de um canal de placas planas e paralelas ao se aplicar um campo magnético externo transversal. O fluido, eletricamente condutor, entra no canal sob um perfil qualquer de velocidade, e terá seu desenvolvimento natural afetado pelo campo magnético aplicado. Com uma interação acoplada de duas vias, o campo também será afetado pelo escoamento. O estudo dessas interações será efetuado a partir de uma formulação bidimensional das equações de Navier-Stokes, na formulação em função corrente, para escoamento em regime permanente, acoplada à equação de transporte do campo magnético. A solução das equações governantes será obtida através da Técnica da Transformada Integral Generalizada (GITT). Os resultados obtidos para o campo de velocidade e campo magnético, bem como suas funções escalares associadas, são produzidos e comparados aos da literatura em função dos principais parâmetros de governo: número de Reynolds (Re), número de Reynolds magnético (Rem) e número de Hartmann (Ha). Com o objetivo de ilustrar a consistência da técnica da transformada integral generalizada, análises de convergência são também efetuadas e apresentadas.
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An?lise da magnetohidrodin?mica com transfer?ncia de calor em canais de placas paralelas via transforma??o integralR?go, Maria das Gra?as Oliveira 12 November 2010 (has links)
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Previous issue date: 2010-11-12 / Universidade Federal do Rio Grande do Norte / The main goal of the present work is related to the dynamics of the steady state,
incompressible, laminar flow with heat transfer, of an electrically conducting and
Newtonian fluid inside a flat parallel-plate channel under the action of an external and
uniform magnetic field. For solution of the governing equations, written in the parabolic
boundary layer and stream-function formulation, it was employed the hybrid, numericalanalytical,
approach known as Generalized Integral Transform Technique (GITT). The
flow is sustained by a pressure gradient and the magnetic field is applied in the direction
normal to the flow and is assumed that normal magnetic field is kept uniform, remaining
larger than any other fields generated in other directions. In order to evaluate the influence
of the applied magnetic field on both entrance regions, thermal and hydrodynamic, for this
forced convection problem, as well as for validating purposes of the adopted solution
methodology, two kinds of channel entry conditions for the velocity field were used: an
uniform and an non-MHD parabolic profile. On the other hand, for the thermal problem
only an uniform temperature profile at the channel inlet was employed as boundary
condition. Along the channel wall, plates are maintained at constant temperature, either
equal to or different from each other. Results for the velocity and temperature fields as well
as for the main related potentials are produced and compared, for validation purposes, to
results reported on literature as function of the main dimensionless governing parameters
as Reynolds and Hartman numbers, for typical situations. Finally, in order to illustrate the
consistency of the integral transform method, convergence analyses are also effectuated
and presented / O prop?sito do estudo desenvolvido nesse trabalho est? relacionado com a din?mica do
escoamento incompress?vel, laminar, em regime permanente, com transfer?ncia de calor,
de um fluido newtoniano condutor el?trico, no interior de um canal de placas planas
paralelas, submetido a um campo magn?tico externo uniforme. Para a solu??o das
equa??es de governo, modeladas atrav?s da formula??o parab?lica de camada limite em
fun??o corrente, foi empregado o m?todo h?brido, num?rico-anal?tico, conhecido como
T?cnica da Transformada Integral Generalizada (GITT). O escoamento analisado ?
sustentando por um gradiente de press?o e assume-se que o campo magn?tico externo,
aplicado na dire??o normal ao escoamento, permanece uniforme, muito maior do que
quaisquer outros campos gerados em outras dire??es, n?o sendo, dessa forma, influenciado
por nenhum efeito magn?tico interno. Para avaliar a influ?ncia do campo magn?tico sobre
o desenvolvimento t?rmico e hidrodin?mico desse problema de convec??o for?ada, e
tamb?m para fins de valida??o da metodologia de solu??o adotada, foram empregados dois
tipos de condi??es de contorno para o campo de velocidade na entrada no canal: perfil
uniforme e perfil parab?lico do escoamento sem campo magn?tico completamente
desenvolvido. Para o problema t?rmico, por outro lado, empregou-se apenas o perfil
uniforme de temperatura na entrada do canal e considerou-se que as placas se mant?m ?
temperatura constante, iguais ou diferentes uma da outra. Resultados para os campos de
velocidade, temperatura e potenciais correlatos s?o produzidos e comparados aos da
literatura em fun??o dos principais par?metros de governo, a saber, n?mero de Reynolds,
n?mero de Hartmann e par?metro el?trico, para algumas situa??es t?picas. Com o objetivo
de ilustrar a consist?ncia da t?cnica da transformada integral generalizada, an?lises de
converg?ncia s?o tamb?m efetuadas e apresentadas
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A Study On Solutions Of Singular Integral EquationsGeorge, A J 07 1900 (has links) (PDF)
No description available.
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Performance analysis of spectrum sensing techniques for cognitive radio systemsGismalla Yousif, Ebtihal January 2013 (has links)
Cognitive radio is a technology that aims to maximize the current usage of the licensed frequency spectrum. Cognitive radio aims to provide services for license-exempt users by making use of dynamic spectrum access (DSA) and opportunistic spectrum sharing strategies (OSS). Cognitive radios are defined as intelligent wireless devices capable of adapting their communication parameters in order to operate within underutilized bands while avoiding causing interference to licensed users. An underused band of frequencies in a specific location or time is known as a spectrum hole. Therefore, in order to locate spectrum holes, reliable spectrum sensing algorithms are crucial to facilitate the evolution of cognitive radio networks. Since a large and growing body of literature has mainly focused into the conventional time domain (TD) energy detector, throughout this thesis the problem of spectrum sensing is investigated within the context of a frequency domain (FD) approach. The purpose of this study is to investigate detection based on methods of nonparametric power spectrum estimation. The considered methods are the periodogram, Bartlett's method, Welch overlapped segments averaging (WOSA) and the Multitaper estimator (MTE). Another major motivation is that the MTE is strongly recommended for the application of cognitive radios. This study aims to derive the detector performance measures for each case. Another aim is to investigate and highlight the main differences between the TD and the FD approaches. The performance is addressed for independent and identically distributed (i.i.d.) Rayleigh channels and the general Rician and Nakagami fading channels. For each of the investigated detectors, the analytical models are obtained by studying the characteristics of the Hermitian quadratic form representation of the decision statistic and the matrix of the Hermitian form is identified. The results of the study have revealed the high accuracy of the derived mathematical models. Moreover, it is found that the TD detector differs from the FD detector in a number of aspects. One principal and generalized conclusion is that all the investigated FD methods provide a reduced probability of false alarm when compared with the TD detector. Also, for the case of periodogram, the probability of sensing errors is independent of the length of observations, whereas in time domain the probability of false alarm is increased when the sample size increases. The probability of false alarm is further reduced when diversity reception is employed. Furthermore, compared to the periodogram, both Bartlett method and Welch method provide better performance in terms of lower probability of false alarm but an increased probability of detection for a given probability of false alarm. Also, the performance of both Bartlett's method and WOSA is sensitive to the number of segments, whereas WOSA is also sensitive to the overlapping factor. Finally, the performance of the MTE is dependent on the number of employed discrete prolate spheroidal (Slepian) sequences, and the MTE outperforms the periodogram, Bartlett's method and WOSA, as it provides the minimal probability of false alarm.
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Field reconstructions and range tests for acoustics and electromagnetics in homogeneous and layered media / Feld-Rekonstruktionen und Range Tests für Akustik und Elektromagnetik in homogenen und geschichteten MedienSchulz, Jochen 04 December 2007 (has links)
No description available.
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