Fourier有限差分法深度偏移与正演模拟

With the development of seismic exploration, the target becomes more and more complex, which leads to a higher demand for the accuracy and efficiency in 3D exploration. Fourier finite-difference (FFD) method is one of the most valuable methods in complex structure exploration, which keeps the ability of finite-differenc method in dealing with laterally varing media and inherits the predominance of the phase-screen method in stablility and efficiency. In this thesis, the accuracy of the FFD operator is highly improved by using simulated annealing algorithm. This method takes the extrapolation step and band width into account, which is more suitable to various band width and discrete scale than the commonely-used optimized method based on velocity contrast alone. In this thesis, the FFD method is extended to viscoacoustic modeling. Based on one-way wave equation, the presented method is implemented in frequency domain; thus, it is more efficient than two-way methods, and is more convenient than time domain methods in handling attenuation and dispersion effects. The proposed method can handle large velocity contrast and has a high efficiency, which is helpful to further research on earth absorption and seismic resolution. Starting from the frequency dispersion of the acoustic VTI wave equation, this thesis extends the FFD migration method to the acoustic VTI media. Compared with the convetional FFD method, the presented method has a similar computational efficiency, and keeps the abilities of dealing with large velocity contrasts and steep dips. The numerical experiments based on the SEG salt model show that the presented method is a practical migration method for complex acoustical VTI media, because it can handle both large velocity contrasts and large anisotropy variations, and its accuracy is relatively high even in strong anisotropic media. In 3D case, the two-way splitting technique of FFD operator causes artificial azimuthal anisotropy. These artifacts become apparent with increasing dip angles and velocity contrasts, which prevent the application of the FFD method in 3D complex media. The current methods proposed to reduce the azimuthal anisotropy significantly increase the computational cost. In this thesis, the alternating-direction-implicit plus interpolation scheme is incorporated into the 3D FFD method to reduce the azimuthal anisotropy. By subtly utilizing the Fourier based scheme of the FFD method, the improved fast algorithm takes approximately no extra computation time. The resulting operator keeps both the accuracy and the efficiency of the FFD method, which is helpful to the inhancements of both the accuracy and the efficiency for prestack depth migration. The general comparison is presented between the FFD operator and the generalized-screen operator, which is valuable to choose the suitable method in practice. The percentage relative error curves and migration impulse responses show that the generalized-screen operator is much sensiutive to the velocity contrasts than the FFD operator. The FFD operator can handle various velocity contrasts, while the generalized-screen operator can only handle some range of the velocity contrasts. Both in large and weak velocity contrasts, the higher order term of the generalized-screen operator has little effect on improving accuracy. The FFD operator is more suitable to large velocity contrasts, while the generalized-screen operator is more suitable to middle velocity contrasts. Both the one-way implicit finite-difference migration and the two-way explicit finite-differenc modeling have been implemented, and then they are compared with the corresponding FFD methods respectively. This work gives a reference to the choosen of proper method. The FFD migration is illustrated to be more attractive in accuracy, efficiency and frequency dispertion than the widely-used implicit finite-difference migration. The FFD modeling can handle relatively coarse grids than the commonly-used explicit finite-differenc modeling, thus it is much faster in 3D modeling, especially for large-scale complex media.

粘弹性介质中的地震波传播与波形反演研究

The real earth is far away from an ideal elastic ball. The movement of structures or fluid and scattering of thin-layer would inevitably affect seismic wave propagation, which is demonstrated mainly as energy nongeometrical attenuation. Today, most of theoretical researches and applications take the assumption that all media studied are fully elastic. Ignoring the viscoelastic property would, in some circumstances, lead to amplitude and phase distortion, which will indirectly affect extraction of traveltime and waveform we use in imaging and inversion. In order to investigate the response of seismic wave propagation and improve the imaging and inversion quality in complex media, we need not only consider into attenuation of the real media but also implement it by means of efficient numerical methods and imaging techniques. As for numerical modeling, most widely used methods, such as finite difference, finite element and pseudospectral algorithms, have difficulty in dealing with problem of simultaneously improving accuracy and efficiency in computation. To partially overcome this difficulty, this paper devises a matrix differentiator method and an optimal convolutional differentiator method based on staggered-grid Fourier pseudospectral differentiation, and a staggered-grid optimal Shannon singular kernel convolutional differentiator by function distribution theory, which then are used to study seismic wave propagation in viscoelastic media. Results through comparisons and accuracy analysis demonstrate that optimal convolutional differentiator methods can solve well the incompatibility between accuracy and efficiency, and are almost twice more accurate than the same-length finite difference. They can efficiently reduce dispersion and provide high-precision waveform data. On the basis of frequency-domain wavefield modeling, we discuss how to directly solve linear equations and point out that when compared to the time-domain methods, frequency-domain methods would be more convenient to handle the multi-source problem and be much easier to incorporate medium attenuation. We also prove the equivalence of the time- and frequency-domain methods by using numerical tests when assumptions with non-relaxation modulus and quality factor are made, and analyze the reason that causes waveform difference. In frequency-domain waveform inversion, experiments have been conducted with transmission, crosshole and reflection data. By using the relation between media scales and characteristic frequencies, we analyze the capacity of the frequency-domain sequential inversion method in anti-noising and dealing with non-uniqueness of nonlinear optimization. In crosshole experiments, we find the main sources of inversion error and figure out how incorrect quality factor would affect inverted results. When dealing with surface reflection data, several frequencies have been chosen with optimal frequency selection strategy, with which we use to carry out sequential and simultaneous inversions to verify how important low frequency data are to the inverted results and the functionality of simultaneous inversion in anti-noising. Finally, I come with some conclusions about the whole work I have done in this dissertation and discuss detailly the existing and would-be problems in it. I also point out the possible directions and theories we should go and deepen, which, to some extent, would provide a helpful reference to researchers who are interested in seismic wave propagation and imaging in complex media.

Time-dependent transport through molecular junctions.

We investigate transport properties of molecular junctions under two types of bias--a short time pulse or an ac bias--by combining a solution for Green's functions in the time domain with electronic structure information coming from ab initio density functional calculations. We find that the short time response depends on lead structure, bias voltage, and barrier heights both at the molecule-lead contacts and within molecules. Under a low frequency ac bias, the electron flow either tracks or leads the bias signal (resistive or capacitive response) depending on whether the junction is perfectly conducting or not. For high frequency, the current lags the bias signal due to the kinetic inductance. The transition frequency is an intrinsic property of the junctions.

Reduced-complexity iterative equalization for severe time-dispersive MIMO channels

In this paper, a reduced-complexity soft-interference-cancellation minimum mean-square-error.(SIC-MMSE) iterative equalization method for severe time-dispersive multiple-input-multiple-output (MIMO) channels is proposed. To mitigate the severe time dispersiveness of the channel, a single carrier with cyclic prefix is employed, and the equalization is per-formed in the frequency domain. This simplifies the challenging problem of equalization in MIMO channels due to both the intersymbol interference (ISI) and the coantenna interference (CAI). The proposed iterative algorithm works in two stages. The first stage estimates the transmitted frequency-domain symbols using a low-complexity SIC-MMSE equalizer. The second stage converts the estimated frequency-domain symbols in the time domain and finds their means and variances to incorporate in the SIC-MMSE equalizer in the next iteration. Simulation results show the bit-/symbol-error-rate performance of the SIC-MMSE equalizer, with and without coding, for various modulation schemes.

Modelling the mechanical response of the Reed-mouthpiece-lip system of a clarinet. Part I. A one-dimensional distributed model

The motion of a clarinet reed that is clamped to a mouthpiece and supported by a lip is simulated in the time-domain using finite difference methods. The reed is modelled as a bar with non-uniform cross section, and is described using a one-dimensional, fourth-order partial differential equation. The interactions with the mouthpiece Jay and the player's lip are taken into account by incorporating conditional contact forces in the bar equation. The model is completed by clamped-free boundary conditions for the reed. An implicit finite difference method is used for discretising the system, and values for the physical parameters are chosen both from laboratory measurements and by accurate tuning of the numerical simulations. The accuracy of the numerical system is assessed through analysis of frequency warping effects and of resonance estimation. Finally, the mechanical properties of the system are studied by analysing its response to external driving forces. In particular, the effects of reed curling are investigated.

Time-resolved studies of ultrafast wavepacket dynamics in hydrogen molecules

Recent advances in the study of quantum vibrations and rotations in the fundamental hydrogen molecules are reported. Using the deuterium molecules (D-2(+) and D-2) as exemplars, the application of ultrafast femtosecond pump-probe experiments to study the creation and time-resolved imaging of coherent nuclear wavepackets is discussed. The ability to study the motion of these fundamental molecules in the time-domain is a notable milestone, made possible through the advent of ultrashort intense laser pulses with durations on sub-vibrational (and sub-rotational) timescales. Quantum wavepacket revivals are characterised for both vibrational and rotational degrees of freedom and quantum models are used to provide a detailed discussion of the underlying ultrafast physical dynamics for the specialist and non-specialist alike. (C) 2009 Elsevier B.V. All rights reserved.

Time-resolved resonance Raman spectroscopy

Vibrational Raman spectroscopy is now widely recognized as a useful technique for chemical analysis. It has become increasingly popular for the characterization of stable species since the technology which underpins Raman measurements has matured. Time-resolved Raman spectroscopy has also become established as an excellent method for the characterization of transient chemical species but it is not so widely applied. However, the technical advances which have reduced the cost and increased the reliability of conventional: Raman systems can also be exploited in studies of transient species. In some cases it is just as straightforward to record the Raman-spectra of a short-lived transient species as it is to monitor a more stable sample. This raises the possibility of routinely adding time-domain Raman measurements to more conventional Raman techniques, increasing the selectivity of the analysis while retaining its ability to provide spectral information which is characteristic of the species under investigation.

Étude comparative de l'anatomie des plaies de greffe de cornée par tomographie de cohérence optique (OCT)

Cette thèse porte sur l’étude de l’anatomie de la cornée après 3 techniques de greffe soient, la greffe totale traditionnelle (GTT) et des techniques de greffe lamellaire postérieur (GLP) telles que la greffe lamellaire endothéliale profonde (DLEK) et la greffe endothélium/membrane de Descemet (EDMG) pour le traitement des maladies de l’endothélium, telles que la dystrophie de Fuchs et de la kératopathie de l’aphaque et du pseudophaque. Dans ce contexte, cette thèse contribue également à démontrer l’utilité de la tomographie de cohérence optique (OCT) pour l’étude de l’anatomie des plaies chirurgicales la cornée post transplantation. Au cours de ce travail nous avons étudié l'anatomie de la DLEK, avant et 1, 6, 12 et 24 mois après la chirurgie. Nous avons utilisé le Stratus OCT (Version 3, Carl Zeiss, Meditec Inc.) pour documenter l’anatomie de la plaie. L'acquisition et la manipulation des images du Stratus OCT, instrument qui à été conçu originalement pour l’étude de la rétine et du nerf optique, ont été adaptées pour l'analyse du segment antérieur de l’oeil. Des images cornéennes centrales verticales et horizontales, ainsi que 4 mesures radiaires perpendiculaires à la plaie à 12, 3, 6 et 9 heures ont été obtenues. Les paramètres suivants ont été étudiés: (1) Les espaces (gap) entre les rebords du disque donneur et ceux du receveur, (2) les dénivelés de surface postérieure (step) entre le les rebords du disque donneur et ceux du receveur, (3) la compression tissulaire, (4) le décollement du greffon, 6) les élévations de la surface antérieure de la cornée et 7) la pachymétrie centrale de la cornée. Les mesures d’épaisseur totale de la cornée ont été comparées et corrélées avec celles obtenues avec un pachymètre à ultra-sons. Des mesures d’acuité visuelle, de réfraction manifeste et de topographie ont aussi été acquises afin d’évaluer les résultats fonctionnels. Enfin, nous avons comparé les données de DLEK à celles obtenues de l’EDMG et de la GTT, afin de caractériser les plaies et de cerner les avantages et inconvénients relatifs à chaque technique chirurgicale. Nos résultats anatomiques ont montré des différences importantes entre les trois techniques chirurgicales. Certains des paramètres étudiés, comme le sep et le gap, ont été plus prononcés dans la GTT que dans la DLEK et complètement absents dans l’EDMG. D’autres, comme la compression tissulaire et le décollement du greffon n’ont été observés que dans la DLEK. Ceci laisse entrevoir que la distorsion de la plaie varie proportionnellement à la profondeur de la découpe stromale du receveur, à partir de la face postérieure de la cornée. Moins la découpe s’avance vers la face antérieure (comme dans l’EDMG), moins elle affecte l’intégrité anatomique de la cornée, le pire cas étant la découpe totale comme dans la GTT. Cependant, tous les paramètres d’apposition postérieure sous-optimale et d’élévation de la surface antérieure (ce dernier observé uniquement dans la GTT) finissent par diminuer avec le temps, évoluant à des degrés variables vers un profil topographique plus semblable à celui d’une cornée normale. Ce processus paraît plus long et plus incomplet dans les cas de GTT à cause du type de plaie, de la présence de sutures et de la durée de la cicatrisation. Les valeurs moyennes d’épaisseur centrale se sont normalisées après la chirurgie. De plus, ces valeurs moyennes obtenues par OCT étaient fortement corrélées à celles obtenues par la pachymétrie à ultra-sons et nous n’avons remarqué aucune différence significative entre les valeurs moyennes des deux techniques de mesure. L’OCT s’est avéré un outil utile pour l’étude de l’anatomie microscopique des plaies chirurgicales. Les résultats d’acuité visuelle, de réfraction et de topographie des techniques de GLP ont montré qu’il existe une récupération visuelle rapide et sans changements significatifs de l’astigmatisme, contrairement à la GTT avec et sans suture. La GLP a permis une meilleure conservation de la morphologie de la cornée, et par conséquence des meilleurs résultats fonctionnels que la greffe de pleine épaisseur. Ceci nous permet d’avancer que la GLP pourrait être la technique chirurgicale à adopter comme traitement pour les maladies de l’endothélium cornéen.

Some concepts and models usefulninthe analysis of discrete life time data

This thesis entitled Reliability Modelling and Analysis in Discrete time Some Concepts and Models Useful in the Analysis of discrete life time data.The present study consists of five chapters. In Chapter II we take up the derivation of some general results useful in reliability modelling that involves two component mixtures. Expression for the failure rate, mean residual life and second moment of residual life of the mixture distributions in terms of the corresponding quantities in the component distributions are investigated. Some applications of these results are also pointed out. The role of the geometric,Waring and negative hypergeometric distributions as models of life lengths in the discrete time domain has been discussed already. While describing various reliability characteristics, it was found that they can be often considered as a class. The applicability of these models in single populations naturally extends to the case of populations composed of sub-populations making mixtures of these distributions worth investigating. Accordingly the general properties, various reliability characteristics and characterizations of these models are discussed in chapter III. Inference of parameters in mixture distribution is usually a difficult problem because the mass function of the mixture is a linear function of the component masses that makes manipulation of the likelihood equations, leastsquare function etc and the resulting computations.very difficult. We show that one of our characterizations help in inferring the parameters of the geometric mixture without involving computational hazards. As mentioned in the review of results in the previous sections, partial moments were not studied extensively in literature especially in the case of discrete distributions. Chapters IV and V deal with descending and ascending partial factorial moments. Apart from studying their properties, we prove characterizations of distributions by functional forms of partial moments and establish recurrence relations between successive moments for some well known families. It is further demonstrated that partial moments are equally efficient and convenient compared to many of the conventional tools to resolve practical problems in reliability modelling and analysis. The study concludes by indicating some new problems that surfaced during the course of the present investigation which could be the subject for a future work in this area.

Macrodisco y glaucoma en individuos estudiados con tomografía óptica coherente

Introducción: El glaucoma representa la tercera causa de ceguera a nivel mundial y un diagnóstico oportuno requiere evaluar la excavación del nervio óptico que está relacionada con el área del mismo. Existen reportes de áreas grandes (macrodiscos) que pueden ser protectoras, mientras otros las asocian a susceptibilidad para glaucoma. Objetivo: Establecer si existe asociación entre macrodisco y glaucoma en individuos estudiados con Tomografía Optica Coherente (OCT ) en la Fundación Oftalmológica Nacional. Métodos: Estudio transversal de asociación que incluyó 25 ojos con glaucoma primario de ángulo abierto y 74 ojos sanos. A cada individuo se realizó examen oftalmológico, campo visual computarizado y OCT de nervio óptico. Se compararon por grupos áreas de disco óptico y número de macrodiscos, definidos según Jonas como un área de la media más dos desviaciones estándar y según Adabache como área ≥3.03 mm2 quien evaluó población Mexicana. Resultados: El área promedio de disco óptico fue 2,78 y 2,80 mm2 glaucoma Vs. sanos. De acuerdo al criterio de Jonas, se observó un macrodisco en el grupo sanos y según criterio de Adabache se encontraron ocho y veinticinco macrodiscos glaucoma Vs. sanos. (OR=0,92 IC95%=0.35 – 2.43). Discusión: No hubo diferencia significativa (P=0.870) en el área de disco entre los dos grupos y el porcentaje de macrodiscos para los dos grupos fue similar, aunque el bajo número de éstos no permitió concluir en términos estadísticos sobre la presencia de macrodisco y glaucoma.

Use of the statistical properties of the wavelet-transform coefficients for optimization of integration time in Fourier transform spectrometry

We show that an analysis of the mean and variance of discrete wavelet coefficients of coaveraged time-domain interferograms can be used as a specification for determining when to stop coaveraging. We also show that, if a prediction model built in the wavelet domain is used to determine the composition of unknown samples, a stopping criterion for the coaveraging process can be developed with respect to the uncertainty tolerated in the prediction.

Single-carrier frequency domain equalisation for hammerstein communication systems using complex-valued neural networks

Single-carrier (SC) block transmission with frequency-domain equalisation (FDE) offers a viable transmission technology for combating the adverse effects of long dispersive channels encountered in high-rate broadband wireless communication systems. However, for high bandwidthefficiency and high power-efficiency systems, the channel can generally be modelled by the Hammerstein system that includes the nonlinear distortion effects of the high power amplifier (HPA) at transmitter. For such nonlinear Hammerstein channels, the standard SC-FDE scheme no longer works. This paper advocates a complex-valued (CV) B-spline neural network based nonlinear SC-FDE scheme for Hammerstein channels. Specifically, We model the nonlinear HPA, which represents the CV static nonlinearity of the Hammerstein channel, by a CV B-spline neural network, and we develop two efficient alternating least squares schemes for estimating the parameters of the Hammerstein channel, including both the channel impulse response coefficients and the parameters of the CV B-spline model. We also use another CV B-spline neural network to model the inversion of the nonlinear HPA, and the parameters of this inverting B-spline model can easily be estimated using the standard least squares algorithm based on the pseudo training data obtained as a natural byproduct of the Hammerstein channel identification. Equalisation of the SC Hammerstein channel can then be accomplished by the usual one-tap linear equalisation in frequency domain as well as the inverse B-spline neural network model obtained in time domain. Extensive simulation results are included to demonstrate the effectiveness of our nonlinear SC-FDE scheme for Hammerstein channels.

B-spline neural network based single-carrier frequency domain equalisation for Hammerstein channels

A practical single-carrier (SC) block transmission with frequency domain equalisation (FDE) system can generally be modelled by the Hammerstein system that includes the nonlinear distortion effects of the high power amplifier (HPA) at transmitter. For such Hammerstein channels, the standard SC-FDE scheme no longer works. We propose a novel Bspline neural network based nonlinear SC-FDE scheme for Hammerstein channels. In particular, we model the nonlinear HPA, which represents the complex-valued static nonlinearity of the Hammerstein channel, by two real-valued B-spline neural networks, one for modelling the nonlinear amplitude response of the HPA and the other for the nonlinear phase response of the HPA. We then develop an efficient alternating least squares algorithm for estimating the parameters of the Hammerstein channel, including the channel impulse response coefficients and the parameters of the two B-spline models. Moreover, we also use another real-valued B-spline neural network to model the inversion of the HPA’s nonlinear amplitude response, and the parameters of this inverting B-spline model can be estimated using the standard least squares algorithm based on the pseudo training data obtained as a byproduct of the Hammerstein channel identification. Equalisation of the SC Hammerstein channel can then be accomplished by the usual one-tap linear equalisation in frequency domain as well as the inverse Bspline neural network model obtained in time domain. The effectiveness of our nonlinear SC-FDE scheme for Hammerstein channels is demonstrated in a simulation study.

Disfunção autonômica e doença vascular periférica em pacientes com diabete melito tipo 2

A disfunção autonômica está associada com aumento da mortalidade em pacientes diabéticos, especialmente naqueles com doença cardiovascular. Neuropatia periférica, mau controle glicêmico, dislipidemia e hipertensão são alguns dos fatores de risco para o desenvolvimento de doença vascular periférica (DVP) nestes pacientes. O objetivo deste estudo foi avaliar os fatores de risco associados com a presença de DVP em pacientes com DM tipo 2. Um estudo transversal foi realizado em 84 pacientes com DM tipo 2 ( 39 homens, idade média de 64,9 ± 7,5 anos). Os pacientes foram submetidos a uma avaliação clínica e laboratorial. A presença de DVP foi definida, utilizando-se um um aparelho manual de ultrasom com doppler (índice perna-braço < 0,9). A atividade autonômica foi avaliada através da análise da variabilidade da freqüência cardíaca (HRV) por métodos no domínio do tempo e da freqüência (análise espectral), e pelo mapa de retorno tridimensional durante o período do dia e da noite. Para a análise da HRV, um eletrocardiograma de 24 horas foi gravado e as fitas analisadas em um analisador de Holter Mars 8000 (Marquete). A potência espectral foi quantificada pela área em duas bandas de freqüência: 0,04-0,15 Hz – baixa freqüência (BF), 0,015-0,5 Hz – alta freqüência (AF). A razão BF/AF foi calculada em cada paciente. O mapa de retorno tridimensional foi construído através de um modelo matemático onde foram analisados os intervalos RR versus a diferença entre os intervalos RR adjacentes versus o número de contagens verificadas, e quantificado por três índices refletindo a modulação simpática (P1) e vagal (P2 e P3). DVP estava presente em 30 (36%) pacientes. Na análise univariada, pacientes com DVP apresentaram índices que refletem a modulação autonômica (análise espectral) diminuídos quando comparados aos pacientes sem DVP, respectivamente: BF = 0,19 ± 0,07 m/s2 vs. 0,29 ± 0,11 m/s2 P = 0,0001; BF/AF = 1,98 ± 0,9 m/s2 vs. 3,35 ± 1,83 m/s2 p = 0,001. Além disso, o índice que reflete a atividade simpática no mapa de retorno tridimensional (P1), foi mais baixo em pacientes com DVP (61,7 ± 9,4 vs. 66,8 ± 9,7 unidades arbitrárias, P = 0,04) durante a noite, refletindo maior ativação simpática neste período. Estes pacientes também apresentavam uma maior duração do diabetes (20 ± 8,1 vs. 15,3 ± 6,7 anos, P = 0,006), níveis de pressão arterial sistólica (154 ± 20 vs. 145 ± 20 mmHg, P = 0,04), razão cintura-quadril ( 0,98 ± 0,09 vs.0,92 ± 0,08, P = 0,01), e níveis de HbA1c mais elevados (7,7 ± 1,6 vs. 6,9 ± 1,7 %, P = 0,04), bem como valores de triglicerídeos ( 259 ± 94 vs. 230 ± 196 mg/dl, P= 0,03) e de excreção urinária de albumina ( 685,5 ± 1359,9 vs. 188,2 ± 591,1 μ/min, P = 0,02) superiores aos dos pacientes sem DVP.. Nos pacientes com DVP observou-se uma presença aumentada de nefropatia diabética (73,3% vs. 29,6% P = 0,0001), de retinopatia (73,3% vs. 44,4% P = 0,02) e neuropatia periférica (705 vs. 35,1% P = 0,006). Os grupos não diferiram quanto à idade, índice de massa corporal, tabagismo e presença de doença arterial coronariana. Na análise logística multivariada, a DVP permaneceu associada com a disfunção autonômica, mesmo após ter sido controlada pela pressão arterial sistólica, duração do DM, HbA1c, triglicerídeos e excreção urinária de albumina. Concluindo, pacientes com DVP e DM tipo 2 apresentam índices que refletem a modulação autonômica diminuídos, o que pode representar um fator de risco adicional para o aumento da mortalidade nestes pacientes.

Terapia de reposição hormonal não altera a variabilidade da frequência cardíaca em mulheres pós-menopáusicas

INTRODUÇÃO. Mulheres pós-menopáusicas apresentam maior risco de desenvolvimento de doença arterial coronariana. Estudos observacionais demonstraram que a terapia de reposição hormonal produz efeitos benéficos no perfil lipídico e na modulação autonômica cardíaca. O aumento da variabilidade da freqüência cardíaca (VFC), até então atribuído à reposição hormonal, não foi testado em estudos randomizados, placebo-controlados, delineados para permitir a comparação entre as duas formas mais utilizadas de reposição hormonal. A VFC de 24 horas calculada pelo método não linear Mapa de Retorno Tridimensional permite avaliar tanto a modulação vagal como a simpática. OBJETIVOS Avaliar a modulação autonômica cardíaca de mulheres pósmenopáusicas através da análise da VFC no domínio do tempo e dos índices do Mapa de Retorno Tridimensional no ECG de 24 horas. Testar a hipótese de que a reposição hormonal contínua, seja com estradiol isolado (TRE), seja com estradiol associado à noretisterona (TRH), por um período de três meses, aumenta a VFC nessas mulheres. MÉTODOS Quarenta mulheres pós-menopáusicas (46 a 63 anos; média = 54,6 ± 4,2) foram randomizadas para um dos três tratamentos, de forma contínua: TRH, estrogenioterapia (TRE) ou placebo, por três meses consecutivos. Previamente, todas as mulheres foram submetidas a exames clínico, ginecológico e laboratorial (glicose, estradiol, HDL, LDL, triglicerídios; mamografia e ultrassonografia transvaginal). O ECG de 24 horas foi gravado em cada paciente, antes e após o tratamento, para calcular os índices da VFC. RESULTADOS Não houve diferença estatisticamente significativa entre os três grupos, após 3 meses de tratamento, nos índices da VFC e do Mapa de Retorno Tridimensional. A TRH diferiu da TRE apenas quanto ao perfil lipídico. A associação com a noretisterona provocou uma redução de 12,4 % no HDL (p = 0,008). CONCLUSÃO Em mulheres pós-menopáusicas, a terapia de reposição hormonal contínua com estradiol, ou com estradiol associado à noretisterona, por um período de 3 meses, não altera a modulação autonômica cardíaca avaliada pela VFC.