19 resultados para orthogonal Gram polynomials

em Repositório Científico do Instituto Politécnico de Lisboa - Portugal


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In the framework of multibody dynamics, the path motion constraint enforces that a body follows a predefined curve being its rotations with respect to the curve moving frame also prescribed. The kinematic constraint formulation requires the evaluation of the fourth derivative of the curve with respect to its arc length. Regardless of the fact that higher order polynomials lead to unwanted curve oscillations, at least a fifth order polynomials is required to formulate this constraint. From the point of view of geometric control lower order polynomials are preferred. This work shows that for multibody dynamic formulations with dependent coordinates the use of cubic polynomials is possible, being the dynamic response similar to that obtained with higher order polynomials. The stabilization of the equations of motion, always required to control the constraint violations during long analysis periods due to the inherent numerical errors of the integration process, is enough to correct the error introduced by using a lower order polynomial interpolation and thus forfeiting the analytical requirement for higher order polynomials.

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Thirty years ago, G.N. de Oliveira has proposed the following completion problems: Describe the possible characteristic polynomials of [C-ij], i,j is an element of {1, 2}, where C-1,C-1 and C-2,C-2 are square submatrices, when some of the blocks C-ij are fixed and the others vary. Several of these problems remain unsolved. This paper gives the solution, over the field of real numbers, of Oliveira's problem where the blocks C-1,C-1, C-2,C-2 are fixed and the others vary.

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As comunicações ópticas e as comunicações sem fios têm sofrido uma grande evolução ao longo das últimas décadas. Com o objectivo de juntar as vantagens de cada um dos sistemas surgiu o que se designa por rádio sobre fibra. Este sistema permite centralizar todo o processamento necessário num só local, na estação central, simplificando assim a estação base. Esta simplificação permite reduzir os custos de implementação e torna o sistema menos complexo. Esta dissertação de mestrado tem como objectivo principal estudar e simular um sistema que permite o envio de sinais vídeo e rádio pela fibra óptica para posterior difusão, utilizando o conceito de rádio sobre fibra. Os sinais enviados foram o LTE (Long Term Evolution), o UWB (Ultra WideBand) e o WiMAX (Worldwide Interoperability for Microwave Access). O primeiro disponibiliza o serviço de voz, o segundo disponibiliza o serviço de televisão e o último dá suporte à internet. Estes sinais foram modulados em OFDM (Orthogonal Frequency Division Multiplex), porque, posteriormente, estes sinais vão ser difundidos num ambiente sem fios e este tipo de modulação minimiza o efeito de multipercurso e da interferência intersimbólica. Com este estudo pretende-se verificar qual a viabilidade de um sistema que permite o envio de três sinais distintos simultaneamente (serviço Triple Play). Ao analisar os resultados deste sistema concluiu-se que a sua aplicabilidade pode apresentar algumas limitações, dependendo do tipo de modulação e do tipo de modulador que se utilize. Os moduladores ópticos utilizados foram o MZ (Mach-Zehnder) e o EA (Electro-Absorption). A qualidade do sinal recebido foi analisada com base no valor de EVM (Error Vector Magnitude). O primeiro modulador foi aquele que apresentou mais limitações, pois o desempenho do sistema é comprometido para distâncias superiores a 40 km e para potências de entrada inferiores a 0 dBm. Este tipo de sistema apresenta um EVM mais baixo quando a potência de entrada utilizada está entre 0 e 6 dBm. Se o modulador utilizado for o EA, o sistema apresenta um EVM mais baixo quando se utiliza um índice de modulação entre 20% e 30%, para uma potência de entrada entre 0 e 2 dBm.

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Actualmente, as comunicações digitais em ambientes subaquáticos representam uma necessidade humana e um desafio à engenharia de sistemas. A maioria das aplicações dirigidas a meios subaquáticos recorre a sinais acústicos, já que relativamente a sinais de natureza electromagnética ou óptica, os sinais acústicos desfrutam de uma atenuação reduzida. Contudo, os meios subaquáticos possuem um comportamento complexo relativamente à propagação de sinais acústico, sendo caracterizados como canais dispersivos, no domínio do tempo e no domínio da frequência. Como os sistemas acústicos possuem uma largura de banda limitada, requer-se que um sistema de comunicação acústico subaquático seja, simultaneamente, eficiente na gestão dos recursos que possui e eficaz nos mecanismos que implementa para ultrapassar as limitações providenciadas pelo meio. Enquadrada neste âmbito, a presente dissertação propõe uma solução completa de um sistema de comunicação digital. Apresenta-se o dimensionamento de uma plataforma genérica, de baixo custo, que suporta a transmissão e recepção de sinais acústicos num ambiente subaquático. Através desta, verifica-se num meio subaquático real se as características deste ambiente coincidem com a informação presente na respectiva literatura científica. Adicionalmente, são analisadas quais as técnicas de processamento de sinal mais adequadas às comunicações digitais neste meio. Converge-se para uma solução baseada na modulação OFDM (Orthogonal Frequency Division Multiplexing), que alcança uma eficiência espectral de 2,95 bit/s/Hz, a um ritmo binário máximo de 103,288 kbit/s, numa largura de banda de 35 kHz. Através desta técnica, obtém-se elevada robustez aos efeitos de dispersão temporal do canal de comunicação, minimizando de forma eficaz a distorção de sinal devido à interferência inter-simbólica. Esta modulação multi-portadora recorre a sub-portadoras ortogonais, maximizando desta forma a eficiência espectral do sistema. Contudo, a ortogonalidade destas componentes pode ser comprometida pelo espalhamento de Doppler introduzido pelo canal subaquático. Para minimizar este efeito, é implementado um algoritmo adaptativo baseado na técnica LMS (Least Mean Squares).

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Mestrado em Radiações Aplicadas às Tecnologias da Saúde - Área de especialização: Terapia com Radiações.

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Chronic Liver Disease is a progressive, most of the time asymptomatic, and potentially fatal disease. In this paper, a semi-automatic procedure to stage this disease is proposed based on ultrasound liver images, clinical and laboratorial data. In the core of the algorithm two classifiers are used: a k nearest neighbor and a Support Vector Machine, with different kernels. The classifiers were trained with the proposed multi-modal feature set and the results obtained were compared with the laboratorial and clinical feature set. The results showed that using ultrasound based features, in association with laboratorial and clinical features, improve the classification accuracy. The support vector machine, polynomial kernel, outperformed the others classifiers in every class studied. For the Normal class we achieved 100% accuracy, for the chronic hepatitis with cirrhosis 73.08%, for compensated cirrhosis 59.26% and for decompensated cirrhosis 91.67%.

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Relatório do Trabalho Final de Mestrado para obtenção do grau de Mestre em Engenharia de Electrónica e Telecomunicações

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Mestrado em Radioterapia

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The consumption of natural products has become a public health problem, since these medicinal teas are prepared using natural plants without an effective hygienic and sanitary control. The aim of this study was to assess the effects of gamma radiation, on the microbial burden of two medicinal plants: Melissa officinalis and Lippia citriodora. Dried samples of the two plants were irradiated at a Co-60 experimental equipment. The applied gamma radiation doses were 1, 3, and 5 kGy at a dose rate of 1.34 kGy/h. Non-irradiated samples followed all the experiments. Bacterial and fungal counts were assessed before and after irradiation by membrane filtration method. Challenging tests with Escherichia coli were performed in order to evaluate the disinfection efficiency of gamma radiation treatment. Characterization of M. officinalis and L. citriadora microbiota indicated an average bioburden value of 102CFU/g. The inactivation studies of the bacterial mesophilic population of both dried plants pointed out to a one log reduction of microbial load after irradiation at 5 kGy. Regarding the fungal population, the initial load of 30 CFU/g was only reduced by 0.5 log by an irradiation dose of 5 kGy. The dynamics with radiation doses of plants microbial population’s phenotypes indicated the prevalence of gram-positive rods for M. officinalis before and after irradiation, and the increase of the frequency of gram-negative rods with irradiation for L. citriadora. Among fungal population of both plants, Mucor, Neoscytalidium, Aspergillus and Alternaria were the most isolated genera. The results obtained in the challenging tests with E. coli on plants pointed out to an inactivation efficiency of 99.5% and 99.9% to a dose of 2 kGy, for M.officinalis and L. citriadora, respectively. The gamma radiation treatment can be a significant tool for the microbial control in medicinal plants.

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Trabalho Final de Mestrado para obtenção do grau de Mestre em Engenharia Química e Biológica

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Fitness centres are special places where conditions for microbiological proliferation should be considered. Moisture due to human perspiration and water condensation as a result of human physical activities are prevalent in this type of buildings. Exposure to microbial contaminants is clinically associated with respiratory disorders and people who work out in polluted environments would be susceptible to contaminants. This work studied the indoor air contamination in three gymnasiums in Lisbon. The sampling was performed at two periods: at the opening (morning) and closing (night) of the three gymnasiums. The airborne bacterial and fungal populations were sampled by impaction directly onto Tryptic Soy Agar (for bacteria) and Malt Extract Agar (for fungi) plates, using a Merck MAS-100 air sampler. Higher bacterial concentrations were found at night as compared to the morning but the same behaviour was not found for fungal concentrations. Gram-negative catalase positive cocci were the dominant bacteria in indoor air samples of the studied gymnasiums. In this study, 21 genera/species of fungal colonies were identified. Chrysosporium sp., Chrysonilia sp., Neoscytalidium hialinum, Sepedonium sp. and Penicillium sp. were the most prevalent species identified in the morning, while Cladosporium sp., Penicillium sp., Chrysosporium sp., Acremonium sp. and Chrysonilia sp. were more prevalent at night. A well-designed sanitation and maintenance program for gymnasiums is needed to ensure healthier space for indoor physical activity.

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Let F be a field with at least four elements. In this paper, we identify all the pairs (A, B) of n x n nonsingular matrices over F , satisfying the following property: for every monic polynomial f(x) = xn + an-1xn-1 + … +a1x + aο over F, with a root in F and aο = (-1)n det(AB), there are nonsingular matrices X, Y ϵ Fnxn such that X A X-1 Y BY-1 has characteristic polynomial f (x). © 2014 © 2014 Taylor & Francis.

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Balanced nesting is the most usual form of nesting and originates, when used singly or with crossing of such sub-models, orthogonal models. In balanced nesting we are forced to divide repeatedly the plots and we have few degrees of freedom for the first levels. If we apply stair nesting we will have plots all of the same size rendering the designs easier to apply. The stair nested designs are a valid alternative for the balanced nested designs because we can work with fewer observations, the amount of information for the different factors is more evenly distributed and we obtain good results. The inference for models with balanced nesting is already well studied. For models with stair nesting it is easy to carry out inference because it is very similar to that for balanced nesting. Furthermore stair nested designs being unbalanced have an orthogonal structure. Other alternative to the balanced nesting is the staggered nesting that is the most popular unbalanced nested design which also has the advantage of requiring fewer observations. However staggered nested designs are not orthogonal, unlike the stair nested designs. In this work we start with the algebraic structure of the balanced, the stair and the staggered nested designs and we finish with the structure of the cross between balanced and stair nested designs.

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Stair nesting leads to very light models since the number of their treatments is additive on the numbers of observations in which only the level of one factor various. These groups of observations will be the steps of the design. In stair nested designs we work with fewer observations when compared with balanced nested designs and the amount of information for the different factors is more evenly distributed. We now integrate these models into a special class of models with orthogonal block structure for which there are interesting properties.

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Let F be a field with at least four elements. In this paper, we identify all the pairs (A, B) of n x n nonsingular matrices over F, satisfying the following property: for every monic polynomial f (x) = x(n) + a(n-1)x(n-1) +... + a(1)x + a(0) over F, with a root in F and a(0) = (-1)(n) det(AB), there are nonsingular matrices X, Y is an element of F-nxn such that XAX(-1)Y BY-1 has characteristic polynomial f (x).