39 resultados para Signal processing - Mathematical models
em Instituto Politécnico do Porto, Portugal
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An Electrocardiogram (ECG) monitoring system deals with several challenges related with noise sources. The main goal of this text was the study of Adaptive Signal Processing Algorithms for ECG noise reduction when applied to real signals. This document presents an adaptive ltering technique based on Least Mean Square (LMS) algorithm to remove the artefacts caused by electromyography (EMG) and power line noise into ECG signal. For this experiments it was used real noise signals, mainly to observe the di erence between real noise and simulated noise sources. It was obtained very good results due to the ability of noise removing that can be reached with this technique. A recolha de sinais electrocardiogr a cos (ECG) sofre de diversos problemas relacionados com ru dos. O objectivo deste trabalho foi o estudo de algoritmos adaptativos para processamento digital de sinal, para redu c~ao de ru do em sinais ECG reais. Este texto apresenta uma t ecnica de redu c~ao de ru do baseada no algoritmo Least Mean Square (LMS) para remo c~ao de ru dos causados quer pela actividade muscular (EMG) quer por ru dos causados pela rede de energia el ectrica. Para as experiencias foram utilizados ru dos reais, principalmente para aferir a diferen ca de performance do algoritmo entre os sinais reais e os simulados. Foram conseguidos bons resultados, essencialmente devido as excelentes caracter sticas que esta t ecnica tem para remover ru dos.
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Transdermal biotechnologies are an ever increasing field of interest, due to the medical and pharmaceutical applications that they underlie. There are several mathematical models at use that permit a more inclusive vision of pure experimental data and even allow practical extrapolation for new dermal diffusion methodologies. However, they grasp a complex variety of theories and assumptions that allocate their use for specific situations. Models based on Fick's First Law found better use in contexts where scaled particle theory Models would be extensive in time-span but the reciprocal is also true, as context of transdermal diffusion of particular active compounds changes. This article reviews extensively the various theoretical methodologies for studying dermic diffusion in the rate limiting dermic barrier, the stratum corneum, and systematizes its characteristics, their proper context of application, advantages and limitations, as well as future perspectives.
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In this paper we study several natural and man-made complex phenomena in the perspective of dynamical systems. For each class of phenomena, the system outputs are time-series records obtained in identical conditions. The time-series are viewed as manifestations of the system behavior and are processed for analyzing the system dynamics. First, we use the Fourier transform to process the data and we approximate the amplitude spectra by means of power law functions. We interpret the power law parameters as a phenomenological signature of the system dynamics. Second, we adopt the techniques of non-hierarchical clustering and multidimensional scaling to visualize hidden relationships between the complex phenomena. Third, we propose a vector field based analogy to interpret the patterns unveiled by the PL parameters.
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The Maxwell equations constitute a formalism for the development of models describing electromagnetic phenomena. The four Maxwell laws have been adopted successfully in many applications and involve only the integer order differential calculus. Recently, a closer look for the cases of transmission lines, electrical motors and transformers, that reveal the so-called skin effect, motivated a new perspective towards the replacement of classical models by fractional-order mathematical descriptions. Bearing these facts in mind this paper addresses the concept of static fractional electric potential. The fractional potential was suggested some years ago. However, the idea was not fully explored and practical methods of implementation were not proposed. In this line of thought, this paper develops a new approximation algorithm for establishing the fractional order electrical potential and analyzes its characteristics.
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Hoje em dia as fontes de alimentação possuem correção do fator de potência, devido às diversas normas regulamentares existentes, que introduziram grandes restrições no que respeita à distorção harmónica (THD) e fator de potência (FP). Este trabalho trata da análise, desenvolvimento e implementação de um Pré-Regulador de fator de potência com controlo digital. O controlo digital de conversores com recurso a processamento digital de sinal tem vindo a ser ao longo dos últimos anos, objeto de investigação e desenvolvimento, estando constantemente a surgirem modificações nas topologias existentes. Esta dissertação tem como objetivo estudar e implementar um Pré-Regulador Retificador Boost e o respetivo controlo digital. O controlo do conversor é feito através da técnica dos valores médios instantâneos da corrente de entrada, desenvolvido através da linguagem de descrição de hardware VHDL (VHSIC HDL – Very High Speed Integrated Circuit Hardware Description Language) e implementado num dispositivo FPGA (Field Programmable Gate Array) Spartan-3E. Neste trabalho são apresentadas análises matemáticas, para a obtenção das funções de transferência pertinentes ao projeto dos controladores. Para efetuar este controlo é necessário adquirir os sinais da corrente de entrada, tensão de entrada e tensão de saída. O sinal resultante do módulo de controlo é um sinal de PWM com valor de fator de ciclo variável ao longo do tempo. O projeto é simulado e validado através da plataforma MatLab/Simulink e PSIM, onde são apresentados resultados para o regime permanente e para transitórios da carga e da tensão de alimentação. Finalmente, o Pré-Regulador Retificador Boost controlado de forma digital é implementado em laboratório. Os resultados experimentais são apresentados para validar a metodologia e o projeto desenvolvidos.
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In this paper we study a delay mathematical model for the dynamics of HIV in HIV-specific CD4 + T helper cells. We modify the model presented by Roy and Wodarz in 2012, where the HIV dynamics is studied, considering a single CD4 + T cell population. Non-specific helper cells are included as alternative target cell population, to account for macrophages and dendritic cells. In this paper, we include two types of delay: (1) a latent period between the time target cells are contacted by the virus particles and the time the virions enter the cells and; (2) virus production period for new virions to be produced within and released from the infected cells. We compute the reproduction number of the model, R0, and the local stability of the disease free equilibrium and of the endemic equilibrium. We find that for values of R0<1, the model approaches asymptotically the disease free equilibrium. For values of R0>1, the model approximates asymptotically the endemic equilibrium. We observe numerically the phenomenon of backward bifurcation for values of R0⪅1. This statement will be proved in future work. We also vary the values of the latent period and the production period of infected cells and free virus. We conclude that increasing these values translates in a decrease of the reproduction number. Thus, a good strategy to control the HIV virus should focus on drugs to prolong the latent period and/or slow down the virus production. These results suggest that the model is mathematically and epidemiologically well-posed.
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This study addresses the deoxyribonucleic acid (DNA) and proposes a procedure based on the association of statistics, information theory, signal processing, Fourier analysis and fractional calculus for describing fundamental characteristics of the DNA. In a first phase the 24 chromosomes of the Human are evaluated. In a second phase, 10 chromosomes for different species are also processed and the results compared. The results reveal invariance in the description and close resemblances with fractional Brownian motion.
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Proceedings of the 12th Conference on 'Dynamical Systems -Theory and Applications'
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The recent developments on Hidden Markov Models (HMM) based speech synthesis showed that this is a promising technology fully capable of competing with other established techniques. However some issues still lack a solution. Several authors report an over-smoothing phenomenon on both time and frequencies which decreases naturalness and sometimes intelligibility. In this work we present a new vowel intelligibility enhancement algorithm that uses a discrete Kalman filter (DKF) for tracking frame based parameters. The inter-frame correlations are modelled by an autoregressive structure which provides an underlying time frame dependency and can improve time-frequency resolution. The system’s performance has been evaluated using objective and subjective tests and the proposed methodology has led to improved results.
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Esta dissertação apresenta um estudo sobre os problemas de sequenciamento de tarefas de produção do tipo job shop scheduling. Os problemas de sequenciamento de tarefas de produção pretendem encontrar a melhor sequência para o processamento de uma lista de tarefas, o instante de início e término de cada tarefa e a afetação de máquinas para as tarefas. Entre estes, encontram-se os problemas com máquinas paralelas, os problemas job shop e flow shop. As medidas de desempenho mais comuns são o makespan (instante de término da execução de todas as tarefas), o tempo de fluxo total, a soma dos atrasos (tardiness), o atraso máximo, o número de tarefas que são completadas após a data limite, entre outros. Num problema do tipo job shop, as tarefas (jobs) consistem num conjunto de operações que têm de ser executadas numa máquina pré-determinada, obedecendo a um determinado sequenciamento com tempos pré-definidos. Estes ambientes permitem diferentes cenários de sequenciamento das tarefas. Normalmente, não são permitidas interrupções no processamento das tarefas (preemption) e pode ainda ser necessário considerar tempos de preparação dependentes da sequência (sequence dependent setup times) ou atribuir pesos (prioridades) diferentes em função da importância da tarefa ou do cliente. Pretende-se o estudo dos modelos matemáticos existentes para várias variantes dos problemas de sequenciamento de tarefas do tipo job shop e a comparação dos resultados das diversas medidas de desempenho da produção. Este trabalho contribui para demonstrar a importância que um bom sequenciamento da produção pode ter na sua eficiência e consequente impacto financeiro.
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A definition of medium voltage (MV) load diagrams was made, based on the data base knowledge discovery process. Clustering techniques were used as support for the agents of the electric power retail markets to obtain specific knowledge of their customers’ consumption habits. Each customer class resulting from the clustering operation is represented by its load diagram. The Two-step clustering algorithm and the WEACS approach based on evidence accumulation (EAC) were applied to an electricity consumption data from a utility client’s database in order to form the customer’s classes and to find a set of representative consumption patterns. The WEACS approach is a clustering ensemble combination approach that uses subsampling and that weights differently the partitions in the co-association matrix. As a complementary step to the WEACS approach, all the final data partitions produced by the different variations of the method are combined and the Ward Link algorithm is used to obtain the final data partition. Experiment results showed that WEACS approach led to better accuracy than many other clustering approaches. In this paper the WEACS approach separates better the customer’s population than Two-step clustering algorithm.
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This paper studies the human DNA in the perspective of signal processing. Six wavelets are tested for analyzing the information content of the human DNA. By adopting real Shannon wavelet several fundamental properties of the code are revealed. A quantitative comparison of the chromosomes and visualization through multidimensional and dendograms is developed.
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Mestrado em Engenharia Electrotécnica e de Computadores
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Mestrado em Engenharia Electrotécnica e de Computadores – Ramo Automação e Sistemas.
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In this paper a new method for the calculation of the fractional expressions in the presence of sensor redundancy and noise, is presented. An algorithm, taking advantage of the signal characteristics and the sensor redundancy, is tuned and optimized through genetic algorithms. The results demonstrate the good performance for different types of expressions and distinct levels of noise.