Nous nous intéressons à l'étude de la cyclicité et la bicyclicité dans les espaces $ell^p(Z)$ à poids et à l'étude de la cyclicité dans les espaces de Dirichlet. Alors que Wiener a caractérisé la bicyclicité des vecteurs de $ell^1(Z)$ et $ell^2(Z)$ grâce à l'ensemble des zéros de la transformée de Fourier, Lev et Olevski ont démontré que cet ensemble ne peut caractériser la bicyclicité dans $ell^p(Z)$ lorsque $1<p<2$ pour des suites $u in ell^1(Z)$. Beurling, Salem et Newman se sont aussi intéressés à la bicyclicité de vecteurs de $ell^p(Z)$ pour $1<p<2$. Dans ce travail, nous étendons tout d'abord les résultats de Beurling, Salem et Newman aux espaces $ell^p(Z)$ à poids, en étudiant la dimension de Hausdorff et la capacité de l'ensemble des zéros de la transformée de Fourier. Ensuite nous démontrons que le résultat de Lev-Olevskii reste valide pour la cyclicité dans $ell^p(Z)$, $1<p<2$. De plus, nous donnons des conditions suffisantes à la cyclicité dans les espaces $ell^p(Z)$ à poids. Enfin nous démontrons que, pour une fonction $f$ appartenant à l'algèbre du disque et à un espace de type Dirichlet, si $f$ est extérieure et si l'ensemble des zéros de $f$ est réduit à un point alors $f$ est cyclique. Ceci généralise le résultat de Hedenmalm et Shields qui ont traité le cas du Dirichlet classique. / We are interested in the study of cyclicity and bicyclicity in weighted $ell^p(Z)$ spaces and the study of cyclicity in Dirichlet spaces. While Wiener characterized the bicyclicity in $ell^1(Z)$ and $ell^2(Z)$, thanks to the zero set of the Fourier transform, Lev and Olevski have shown that this set cannot characterize bicyclicity in $ell^p(Z)$ when $1 < p < 2$ for sequences in $ell^1(Z)$. Also Beurling, Salem and Newman were interested in the bicyclicity in $ell^p(Z)$ when $1 < p < 2$. In this work, we first extend the results of Beurling, Salem and Newman to the weighted $ell^p(Z)$ spaces, by studying the Hausdorff dimension and the capacity of the zero set of the Fourier transform. Then we prove that the Lev-Olevskii result remains valid for cyclicity in $ell^p(Z)$, $1 < p < 2$. In addition, we give sufficient conditions for the cyclicity in the weighted $ell^p(Z)$ spaces. Finally, we prove that, for a function $f$ in the disk algebra and in a generalized Dirichlet space, if $f$ is outer and the zero set of $f$ is reduced to a point then $f$ is cyclic. This generalizes the result of Hedenmalm and Shields who have treated the case of the classical Dirichlet space.

This work deals with the further development of a method for Direction of Arrival (DOA) estimation based on the Discrete Fourier Transform (DFT) of the sensor array output. In the existing DFT-based algorithm, relatively high SNR is considered, and it is assumed that a large number of sensors are available. In this study an overview of some of the most commonly used DOA estimation techniques will be presented. Then the performance of the DFT method will be analyzed and compared with the performance of existing techniques. Two main objectives will be studied, firstly the reduction of the number of sensors and secondly the performance of the DFT based technique in the presence of noise. Experimental simulations will be presented to illustrate that in absence of noise, the proposed method is very fast and using just one snapshot is sufficient to accurately estimate DOAs. Also, in presence of noise, the method is still relatively fast and using a small number of snapshots, it can accurately estimate DOAs. The above mentioned properties are the result of taking an average of the peaks of the DFTs, X_n (k), obtained from a sequence of N_s snapshots. With N_s sufficiently large, the average over N_s snapshots approaches expected value. Also, the conditions that should be satisfied to avoid overlapping of main-lobes, and thus loosing the DOA of some signals, in the DFT spectrum are examined. This study further analyzes the performance of the proposed method as well as two other commonly used algorithms, MUSIC and conventional beamformer. An extensive simulation was conducted and different features of the spatial DFT technique, such as accuracy, resolution, sensitivity to noise, effect of multiple snapshots and the number of sensors were evaluated and compared with those of existing techniques. The simulations indicate that in most aspects the proposed spatial DFT algorithm outperforms the other techniques. / Graduate

This research focuses on a novel integrated approach for computing and representing complex numbers as a single entity without the use of any dedicated multiplier for calculating the fast Fourier transform algorithm (FFT), using the Distributed Arithmetic (DA) technique and Complex Binary Number Systems (CBNS). The FFT algorithm is one of the most used and implemented technique employed in many Digital Signal Processing (DSP) applications in the field of science, engineering, and mathematics. The DA approach is a technique that is used to compute the inner dot product between two vectors without the use of any dedicated multipliers. These dedicated multipliers are fast but they consume a large amount of hardware and are quite costly. The DA multiplier process is accomplished by shifting and adding only without the need of any dedicated multiplier. In today's technology, complex numbers are computed using the divide and conquer approach in which complex numbers are divided into two parts: the real and imaginary. The CBNS technique however, allows for each complex addition and multiplication to be computed in one single step instead of two. With the combined DA-CBNS approach for computing the FFT algorithm, those dedicated multipliers are being replaced with a DA system that utilize a Rom-based memory for storing the twiddle factor 'wn' value and the complex arithmetic operations being represented as a single entity, not two, with the CBNS approach. This architectural design was implemented by coding in a very high speed integrated circuit (VHSIC) hardware description language (VHDL) using Xilinx ISE design suite software program version 14.2. This computer aided tool allows for the design to be synthesized to a logic gate level in order to be further implemented onto a Field Programmable Gate Array (FPGA) device. The VHDL code used to build this architecture was downloaded on a Nexys 4 DDR Artix-7 FPGA board for further testing and analysis. This novel technique resulted in the use of no dedicated multipliers and required half the amount of complex arithmetic computations needed for calculating an FFT structure compared with its current traditional approach. Finally, the results showed that for the proposed architecture design, for a 32 bit, 8-point DA-CBNS FFT structure, the results showed a 32% area reduction, 41% power reduction, 59% reduction in run-time, 42% reduction in logic gate cost, and 66% increase in speed. For a 28 bit, 16-point DA-CBNS FFT structure, its area size, power consumption, run-time, and logic gate, were also found to be reduced at approximately 30%, 37%, 60%, and 39%, respectively, with an increase of speed of approximately 67% when compared to the traditional approach that employs dedicated multipliers and computes its complex arithmetic as two separate entities: the real and imaginary.

Made available in DSpace on 2014-06-11T19:25:33Z (GMT). No. of bitstreams: 0 Previous issue date: 2006-07-10Bitstream added on 2014-06-13T20:53:37Z : No. of bitstreams: 1 rocha_rsf_me_ilha.pdf: 3590200 bytes, checksum: f6889570ef205e6b46a549584c70a872 (MD5) / Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES) / As resinas compostas vêm sendo estudadas de longa data, sempre na procura de propiciar aos clínicos um melhor entendimento do seu processo de polimerização e a obtenção de melhores resultados nos procedimentos restauradores. A proposta deste trabalho foi determinar o grau de conversão, a microdureza e o coeficiente de expansão térmica das resinas restauradoras TPH Spectrum (Dentsply) e Filtek P60 (3M), em função da profundidade. Os materiais foram polimerizados por uma fonte de luz halógena durante 40 segundos em anéis de alumínio em diferentes espessuras (1, 2, 3 e 4 mm). O grau de conversão foi determinado através da espectroscopia no infravermelho próximo com transformada de Fourier, utilizando a razão entre bandas de absorção correspondentes às ligações duplas alifáticas e aromáticas. Para tanto, foram confeccionadas pastilhas contendo 20mg de resina e 150mg de KBr e os espectros foram obtidos em um espectrômetro Nexus 670 (Nicolet). As medidas de microdureza Vickers foram obtidas com um aparelho HMV 2000 (Shimadzu), utilizando uma amostra de cada espessura. A expansão térmica foi estudada através da técnica da extensometria. Os resultados mostraram que para as duas resinas ocorre uma diminuição no grau de conversão e na microdureza à medida que se aumenta a profundidade, como esperado. Para as medidas de expansão térmica, a resina Filtek P60 não apresentou diferenças significativas nas quatro profundidades, enquanto para a resina TPH Spectrum houve um aumento no coeficiente de expansão térmica com a profundidade. Não foi observada uma correlação entre o grau de conversão e a microdureza nas duas resinas estudadas. A determinação do grau de conversão através de espectros de absorção no infravermelho próximo mostrou-se mais preciso do que quando determinado a partir de espectros na região infravermelho médio. / The composite resins have been widely studied allowing a better understanding of the process of polymerization. As consequence, better results in the clinical procedures have been obtained. The purpose of this work was to study the degree of conversion, the hardness and the thermal expansion of the TPH Spectrum (Dentsply) and Filtek P60 (3M) resins in different depths. Samples were prepared for each resin using aluminum rings 10 mm in internal diameter and with different thickness (1, 2, 3, and 4 mm). Resin composites were cured with a halogen light curing unit for 40 s. The degree of conversion was determined from FTIR spectra by comparison of the aliphatic =CH2 bond at 4743 cm -1 with that of the aromatic component at 4623 cm -1 for the cured and uncured states. For that, pellets containing 20 mg of resin powder (cured or uncured) and 150 mg of KBr powder were made. The near infra-red spectra were obtained in a FT-IR spectrophotometer (model Nexus 670, Nicolet). The Vickers hardness was measured with a Micro Hardness Tester (model HMV 2000, Shimadzu). The thermal expansion was studied through the strain gauge technique. The results showed a decrease in the value of DC and hardness as increases the depth. For Filtek P60 resin, it was not observed significant difference in the coefficient of thermal expansion at different depths. On the other hand, an increase was observed in the coefficient as it increases the depth for the TPH Spectrum resin. There is not correlation between the conversion degree and the microhardness for the two studied resins. DC values more accurate were obtained from near infra-red spectra when compared with those obtained from medium infra-red spectra.

Resumo: Numerosos tipos e marcas comerciais de resinas compostas são constantemente introduzidos no mercado odontológico, em função de modificações na composição, tipo, formato e quantidade das partículas inorgânicas, assim como na porção orgânica. Sempre, com a finalidade de proporcionar propriedades mecânicas e estéticas superiores aos materiais, aumentando dessa forma sua longevidade. Assim, o propósito neste estudo foi avaliar o grau de conversão (GC) pelo método FT-IR e a degradação hidrolítica por meio do teste de dureza Vickers (dV), de duas resinas compostas (uma nanoparticulada e uma micro-híbrida). Para isso, oito espécimes (4 mm de diâmetro x 2 mm de espessura, ISO 4049) de cada material foram confeccionados para cada teste. As resinas compostas foram inseridas em única porção na matriz metálica e fotoativadas com aparelho LED (Celalux, Voco®, 776 mW/cm²), por 40 segundos. Dezesseis leituras de dV (8 no topo e 8 na base) foram realizadas para cada espécime em durômetro digital MMT-3 (Buehler Lake Bluff, Illinois USA), utilizando carga de 50 gf aplicada durante 30 segundos, em intervalos de tempo prédeterminados: imediatamente após fotoativação (controle), 24, 48, 72 horas, 7, 14, 21, 30 dias e 6 meses. Logo após a fotoativação foi feita a medida da dureza inicial e os espécimes foram então imersos em saliva artificial a 37°C. Para o GC (%), os espécimes foram triturados, prensados com KBr e analisados em espectrofotômetro FT-IR (Nexus-470). Os resultados foram submetidos à análise estatística e permitiram concluir que: não foi observada diferença entre as resinas quanto ao grau de conversão; a proporção entre as medidas de dureza de topo e base foi semelhante para os dois materiais, tendo sido mantida ao longo de todo o tempo experimental; a resina Z-250 apresentou os maiores valores de dureza tanto na superfície de topo quanto na de base... (Resumo completo, clicar acesso eletrônico abaixo) / Abstract: Numerous types and brands of composite resins are constantly introduced into the dental market, due to changes in the composition, type, shape and quantity of inorganic particles as well as the organic portion. Always with the aim of providing superior mechanical and aesthetic properties to materials, thereby increasing their longevity. Thus, the purpose of this study was to evaluate the degree of conversion (DC) and hydrolytic degradation through the Vickers hardness test (hV) of two composites (a nanofilled and a microhybrid). For this, eight specimens (4 mm diameter x 2 mm thick, ISO 4049) of each material were prepared for each test. The composites were inserted into single increment in the metallic matrix and photoactivated with a LED unit (Celalux, Voco ®, 776 mW / cm ²) for 40 seconds. Sixteen hV readings (8 on each top and bottom surfaces) were performed for each specimen in MMT-3 digital hardness tester (Buehler Lake Bluff, Illinois USA), using load of 50 gf applied for 30 seconds, at predetermined intervals: immediately after polymerization (control), 24, 48, 72 hours, 7, 14, 21, 30 days and 6 months. After curing, initial hardness measurements were performed and the specimens were immersed in artificial saliva at 37 °C. For the DC (%), the specimens were ground, pressed with KBr and analyzed by FT-IR spectrophotometer (Nexus-470). The results were subjected to statistical analysis and concluded that: there was no difference between the resins for degree of conversion; the ratio between top and bottom hardness values was similar for both materials and was maintained throughout the experimental period; the composite resin Z-250 showed the highest hardness values in both the top surface as the bottom throughout the evaluation period. The materials tested showed no evidence of hydrolytic degradation in a significant way, in a six-month storage-time in artificial saliva / Orientador: José Roberto Cury Saad / Coorientador: Alessandra Nara de Souza Rastelli / Banca: Marcelo Ferrarezi de Andrade / Banca: Rafael Leonardo Xediek Consani / Mestre

Resumo: O objetivo deste trabalho, dividido em três estudos, foi avaliar: (1) a influência da utilização de diferentes fontes de luz e métodos de fotoativação sobre o grau de conversão e a contração de polimerização de uma resina composta nanoparticulada; (2) a influência da utilização dos diferentes métodos de fotoativacao, disponibilizados por aparelhos LED de 2a geração, sobre a contração volumétrica das resinas compostas microhíbrida e nanopartículada e (3) as propriedades térmicas e o grau de conversão das resinas compostas microhíbrida e nanopartículada, submetidas aos diferentes métodos de fotoativação disponibilizados por aparelhos LED de 2a geracao. No primeiro estudo, o grau de conversão (GC) foi avaliado pelo metodo da espectroscopia infravermelha transformada de Fourier (FT-IR) e as forças de contração (C) mensuradas em máquina de ensaios universal (EMIC). Os dados obtidos para o GC e C foram analísados estatísticamente pelo teste da análise de variancia (ANOVA), sendo que para as forças de contração, a correção de Welch e o teste Tamhane também foram empregados. No segundo estudo, a contração volumétrica foi avaliada por um mecanismo de vídeo e imagem (AcuvolR/Bisco) e os dados obtidos foram análisados estatísticamente pelos testes ANOVA e Tukey. No terceiro estudo, o método da calorimetria exploratória diferencial foi empregado para avaliar a temperatura de transição vitrea (Tg) e de degradação dos materiais e o GC por FTIR. Os dados relativos ao GC foram análisados estatísticamente pelos testes ANOVA e Tukey. Os resultados demonstraram diferenças na contração de polimerização de acordo com o método de fotoativação empregado. No primeiro e segundo estudos, mesmo empregando diferentes metodologias, o método de fotoativação contínuo apresentou os maiores valores de contração. Por outro lado,o GC não... (Resumo completo, clicar acesso eletrônico abaixo) / Abstract: The aim of this work, divided into three studies, was evaluate: (1) the influence of different light sources and photo-activation methods on degree of conversion and polymerization shrinkage of a nanocomposite resin; (2) the influence of different photo-activation methods, available by the 2nd generation LED light-curing units, on the volumetric shrinkage of microhybrid and nanocomposite resins and (3) thermal properties and degree of conversion of microhybrid and nanocomposite resins submitted to different photo-activation methods available by 2nd generation LED light-curing units. In the first study, degree of conversion (DC) was evaluated by Fourier transform infrared spectroscopy (FT-IR) and shrinkage forces (S) were measured in a universal testing machine (EMIC). The data obtained for DC and S were analyzed by Analysis of Variance test (ANOVA) and for S Welch's correction and Tamhane's tests were also employed. In the second study, volumetric shrinkage was evaluated by video-imaging device (AcuvolR/Bisco) and data were analyzed by ANOVA and Tukey's test. In the third study, differential scanning calorimetry was used in order to observe glass transition temperature (Tg) and degradation peak of the materials and DC was evaluated for FT-IR. The DC data were analyzed by ANOVA and Tukey's test. The results showed differences in the polymerization shrinkage according to photo-activation method employed. In the first and second studies, the continuous photo-activation methods presented the highest values for shrinkage even though different methodologies were used to assess. Moreover, DC was not influenced by the photo-activation method but was influenced by light sources. The lowest DC values were observed for halogen light-curing unit. In the second study beyond the influence of the photo-activation... (Complete abstract click electronic access below) / Orientador: Marcelo Ferrarezi de Andrade / Coorientador: Alessandra Nara de Souza Rastelli / Banca: Silmara Aparecida Milori Corona / Banca: Denise Pedrini / Banca: Osmir Batista de Oliveira Junior / Banca: José Roberto Cury Saad / Doutor

Made available in DSpace on 2014-06-11T19:22:31Z (GMT). No. of bitstreams: 0 Previous issue date: 2009-08-28Bitstream added on 2014-06-13T18:08:26Z : No. of bitstreams: 1 matos_er_me_ilha.pdf: 2466056 bytes, checksum: fd089ec7147abd26c94fadfe5e17bb85 (MD5) / Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES) / Neste trabalho apresenta-se uma Metodologia para Detecção e Classificação de Curtos-Circuitos em alimentadores de Sistemas de Distribuição de Energia Elétrica fundamentada na análise de registros oscilográficos através da DFT (Discrete Fourier Transform) e de RNAs (Redes Neurais Artificiais). Sua aplicação pressupõe a disponibilidade de registros de oscilografia digital das correntes nas três fases do alimentador, monitoradas apenas na saída da subestação. A caracterização de cada tipo de curto-circuito é obtida mediante a análise do comportamento dinâmico das correntes de fase durante o período transitório das faltas e a detecção e classificação dos curtos-circuitos são efetuadas por meio de um banco de RNAs acíclicas, do tipo perceptrons, de múltiplas camadas. Um modelo de um alimentador real de Sistema de Distribuição de grande porte, composto por 836 barras, foi utilizado na obtenção dos dados referentes aos curtos-circuitos, com simulações via software ATP-EMTP (Alternative Transients Program - Electromagnetic Transients Program). O método foi implementado e testado utilizando-se o software MATLAB®. Como resultado tem-se uma metodologia de formulação simples que apresenta bom desempenho, é de fácil implementação, apresenta baixa carga computacional e gera resultados altamente satisfatórios / This work proposes a methodology for Detection and Classification of Short-Circuits in Distribution Electric Power feeders, based on the analysis of oscillograph records through the application of DFT (Discrete Fourier Transform) and ANNs (Artificial Neural Networks). Its application requires the availability of digital oscillograph records of the currents in the three phases of the feeder, only monitored at the output of the substation. The characterization of each type of short-circuit is obtained by means of analysis of the dynamic behavior of the phase currents during the transitory period. The detection and classification of short-circuits is performed by a bank of acyclic ANNs, of type multilayers perceptrons. A real feeder model of a large distribution power system, composed of 836 buses, was used to obtain data relating to short-circuits, simulated via ATP-EMTP (Alternative Transients Program - Electromagnetic Transients Program) software. The method was implemented and tested using MATLAB®. As a conclusion, the proposed method is simple to be implemented, presents low computational load and generates good results

Made available in DSpace on 2014-10-09T12:27:22Z (GMT). No. of bitstreams: 0 / Made available in DSpace on 2014-10-09T14:06:37Z (GMT). No. of bitstreams: 0 / Dissertacao (Mestrado) / IPEN/D / Instituto de Pesquisas Energeticas e Nucleares - IPEN-CNEN/SP

Orientador: Janete Dias Almeida / Banca: Luiz Antonio Guimarães Cabral / Banca: Cristina Kurachi / Banca: Luciane Dias de Oliveira / Banca: Fábio Ramôa Pires / Resumo: A queilite actínica (QA) é uma lesão considerada potencialmente cancerizável, localizada principalmente em lábio inferior e causada pela exposição crônica à radiação UV. A Espectroscopia FT-IR fornece informações moleculares através de fenômenos ópticos observado pela vibração de suas moléculas. Tem sido empregada em estudos biológicos para a caracterização de alterações neoplásicas. No entanto, são escassos os estudos que envolvam processos potencialmente cancerizáveis. Objetivou-se avaliar QAs através da espectroscopia micro FT-IR com relação aos seus aspectos moleculares para região de fingerprint (900-1800 cm-1) e altos números de onda (2800-3600 cm-1), e ainda verificar a análise dos componentes principais (PCA) e regressão logística binária (RLB) como modelo de diagnóstico. Foram avaliadas 14 amostras de QA e 14 amostras de mucosas normal (MN), obtendo-se 5 espectros por amostra, totalizando 140 espectros avaliados (70 de cada grupo). Os resultados demonstrados pela análise dos componentes principais revelaram pelo gráfico de scree plot que os dez primeiros PCs deveriam ser utilizados na análise. As maiores variações observadas pelo gráfico de loading plot relacionaram-se aos modos vibracionais do colágeno, ácidos nucléicos, lipídios e água confinada. O modelo de regressão logística binária mostrou 80,6% de pares concordantes para região de fingerprint e 81,7% de pares concordantes para a região de altos números de onda. Concluiu-se que a espectroscopia micro FT-IR provê características moleculares importantes das 19 amostras de QA, evidenciadas tanto na região de fingerprint como na de altos números de onda. / Abstract: Actinic cheilitis (AC) is a potentially precancerous lesion, located primarily in lower lip caused by chronic exposure to UV radiation. The FT-IR spectroscopy provides molecular information through optical properties observed by the vibration of its molecules. This technique has been used in biological studies for characterization of neoplastic tissues. However, there are few studies involving potentially cancerous processes. This study aimed to evaluate molecular changes on AC through micro FT-IR spectroscopy in fingerprint (900-1800 cm-1) and high wave numbers (2800-3600 cm- 1) region, and also to verify the principal components analysis (PCA) and binary logistic regression (BLR) as a model of diagnosis. We evaluated 14 samples of AC and 14 samples of normal mucosa (NM), resulting in 5 spectra per sample, totalling 140 spectra analyzed (70 from each group). The results demonstrated by PCA revealed by scree plot graph showed that the first ten principal components (PCs) should be used in the analysis. The largest variations observed by loading graph plot related to the vibrational modes of collagen, nucleic acids, lipids and confined water. The BLR model showed 80.6% of concordant pairs for the fingerprint region and 81.7% of concordant pairs of high wave numbers region. It was concluded that the micro FT-IR spectroscopy provides important molecular features of AC samples, evidenced both in the fingerprint and in the highwave numbers region. / Doutor

Este trabalho apresenta um estudo da aplicação da Transformada de Fourier Janelada à Qualidade da Energia Elétrica. Esta abordagem procura, pela implementação de um algoritmo computacional, detectar, localizar e classificar eventuais distúrbios que ocorrem em um determinado Sistema Elétrico. Da situação atual, tem-se que variações nas formas de ondas dos sinais de tensão como elevação, afundamento e interrupção de tensão, oscilações transitórias e ruídos, são freqüentes, chamando a atenção para a qualidade da energia elétrica fornecida pelas concessionárias. A análise de tais fenômenos, que normalmente é descrita no domínio do tempo (resolução de equação diferencial) ou no domínio da freqüência (através da Transformada de Fourier), pode agora ser analisada simultaneamente em ambos os domínios do tempo e da freqüência, dispondo-se da Transformada de Fourier Janelada. As janelas utilizadas para esta finalidade foram as de Hanning, retangular e a de Kaiser. Para esta análise em específico, a simulação dos diversos distúrbios ocorridos no sistema de distribuição foi realizada através do software ATP - Alternative Transients Program - cujas características seguem corretamente um sistema real da concessionária CPFL - Companhia Paulista de Força. Os testes efetuados mostraram que a Transformada de Fourier Janelada possui uma grande potencialidade quanto à sua aplicação na avaliação da qualidade da energia elétrica. / This dissertation presents a study of Windowed Fourier Transform applied to Power Quality. By the implementation of a computational algorithm, this approach aims to detect, locate and classify disturbances that may occur in Power Systems. Variations in voltage waveforms, such as sag, swell, interruption, oscillatory transient and noise have became frequent in electric systems, attracting the attention to the power quality supplied. The analysis of such phenomena, which is usually described either in the time domain (differential equation resolution) or in the frequency domain (Fourier Transform), can now be analyzed simultaneously in both domains: time and frequency, by the windowed Fourier Transform. The windows used to provide this information are the Hanning, rectangular and Kaiser. The simulation of the diverse disturbances occurred in the distribution system was accomplished by means of ATP software - Alternative Transients Program - whose characteristics correctly follow a real distribution system of CPFL electric utility. The tests show the windowed Fourier Transform has a great potentiality when applied to evaluate the power quality.