There is significant uncertainty in our knowledge of the Martian atmosphere and the aerodynamics of the Mars entry, descent, and landing (EDL) systems. These uncertainties result in conservatism in the design of the EDL vehicles leading to higher system masses and a broad range of performance predictions. Data from flight instrumentation onboard Mars EDL systems can be used to quantify these uncertainties, but the existing dataset is sparse and many parameters of interest have not been previously observable. Many past EDL reconstructions neither utilize statistical information about the uncertainty of the measured data nor quantify the uncertainty of the estimated parameters. Statistical estimation methods can blend together disparate data types to improve the reconstruction of parameters of interest for the vehicle. For example, integrating data obtained from aeroshell-mounted pressure transducers, inertial measurement unit, and radar altimeter can improve the estimates of the trajectory, atmospheric profile, and aerodynamic coefficients, while also quantifying the uncertainty in these estimates. These same statistical methods can be leveraged to improve current engineering models in order to reduce conservatism in future EDL vehicle design. The work in this thesis presents a comprehensive methodology for parameter reconstruction and uncertainty quantification while blending dissimilar Mars EDL datasets. Statistical estimation methods applied include the Extended Kalman Filter, Unscented Kalman Filter, and Adaptive Filter. The estimators are applied in a manner in which the observability of the parameters of interest is maximized while using the sparse, disparate EDL dataset. The methodology is validated with simulated data and then applied to estimate the EDL performance of the 2012 Mars Science Laboratory. The reconstruction methodology is also utilized as a tool for improving vehicle design and reducing design conservatism. A novel method of optimizing the design of future EDL atmospheric data systems is presented by leveraging the reconstruction methodology. The methodology identifies important design trends and the point of diminishing returns of atmospheric data sensors that are critical in improving the reconstruction performance for future EDL vehicles. The impact of the estimation methodology on aerodynamic and atmospheric engineering models is also studied and suggestions are made for future EDL instrumentation.

La synchronisation temporelle est la première opération effectuée par le démodulateur. Elle permet d'assurer que les échantillons transmis aux processus de démodulation puissent réaliser un taux d'erreurs binaires le plus faible.Dans cette thèse, nous proposons l'étude d'algorithmes innovants de synchronisation temporelle à haute performance.D'abord, nous avons proposé des algorithmes exploitant l'information souple du décodeur en plus du signal reçu afin d'améliorer l'estimation aveugle d'un retard temporel supposé constant sur la durée d'observation.Ensuite, nous avons proposé un algorithme original basé sur la synchronisation par lissage à faible complexité.Cette étape a consisté à proposer une technique opérant dans un contexte hors ligne, permettant l'estimation d'un retard aléatoire variable dans le temps via les boucles d'aller-retour sur plusieurs itération. Les performances d'un tel estimateur dépassent celles des algorithmes traditionnels.Afin d'évaluer la pertinence de tous les estimateurs proposés, pour des retards déterministe et aléatoire, nous avons évalué et comparé leurs performances à des bornes de Cramèr-Rao que nous avons développées pour ce cadre. Enfin, nous avons évalué les algorithmes proposés sur des signaux WBAN. / Time synchronization is the first function performed by the demodulator. It ensures that the samples transmitted to the demodulation processes allow to achieve the lowest bit error rate.In this thesis we propose the study of innovative algorithms for high performance time synchronization.First, we propose algorithms exploiting the soft information from the decoder in addition to the received signal to improve the blind estimation of the time delay. Next, we develop an original algorithm based on low complexity smoothing synchronization techniques. This step consisted in proposing a technique operating in an off-line context, making it possible to estimate a random delay that varies over time on several iterations via Forward- Backward loops. The performance of such estimators exceeds that of traditional algorithms. In order to evaluate the relevance of all the proposed estimators, for deterministic and random delays, we evaluated and compared their performance to Cramer-Rao bounds that we developed within these frameworks. We, finally, evaluated the proposed algorithms on WBAN signals.

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Oceanic microwave remote sensing provides the data necessary for the estimation of significant geophysical parameters such as the near-surface vector wind. To obtain accurate estimates, a precise understanding of the measurements is critical. This work clarifies and quantifies specific uncertainties in the scattered power measured by an active radar instrument. While there are many sources of uncertainty in remote sensing measurements, this work concentrates on three significant, yet largely unstudied effects. With a theoretical derivation of the backscatter from an ocean-like surface, results from this dissertation demonstrate that the backscatter decays with surface roughness with two distinct modes of behavior, affected by the size of the footprint. A technique is developed and scatterometer data analyzed to quantify the variability of spaceborne backscatter measurements for given wind conditions; the impact on wind retrieval is described in terms of bias and the Cramer-Rao lower bound. The probability density function of modified periodogram averages (a spectral estimation technique) is derived in generality and for the specific case of power estimates made by the NASA scatterometer. The impact on wind retrieval is quantified.

This project exhaustively examines the first element (theme) of each clause in Mark and in samples from other roughly contemporaneous Jewish writings. The comparative documents are divided into two categories, referential and non-referential narratives. Then statistical analyses ( 2 and t-test) are used to determine with which category of comparative documents Mark more closely aligns. The raw results of these hypothesis tests were equivocal, but their corresponding effect sizes (Cramer's V and Cohen's d, respectively) clearly demonstrate that Mark more closely resembles referential narrative, although the difference is small.

Sensor network performance is governed by the physical placement of sensors and their geometric relationship to the events they measure. To illustrate this, the entirety of this thesis covers the following interconnected subjects: 1) graphical analysis of the variance of the estimation error caused by physical characteristics of an acoustic target source and its geometric location relative to sensor arrays, 2) event/anomaly detection method for time aggregated point sensor data using a parametric Poisson distribution data model, 3) a sensor reduction or placement technique using Bellman optimal estimates of target agent dynamics and probabilistic training data (Goode, Chin, & Roan, 2011), and 4) transforming event monitoring point sensor data into event detection and classification of the direction of travel using a contextual, joint probability, causal relationship, sliding window, and geospatial intelligence (GEOINT) method. / Master of Science

This project is associated with statistical methods to find the unknown parameters of a model. It is the statistical investigation of the algorithm with respect to accuracy (the Cramer-Rao bound and L-curve technique) and optimization of the algorithmic parameters. This project aims to estimate the true temperature (final temperature) of a certain liquid in a container by using initial measurements (readings) from a temperature probe with a known time constant. Basically, the final temperature of the liquid was estimated, before the probe reached its final reading. The probe obeys a simple first-order differential equation model. Based on the model of the probe and the measurement data the estimate was calculated of the ’true’ temperature in the container by using a maximum likelihood approach to parameter estimation.  The initial temperature was also investigated. Modelling, analysis, calculations, and simulations of this problem were explored.

L'un des enjeux majeurs pour les systèmes d'imagerie par diffraction acoustique et micro-onde, est l'amélioration des performances obtenues au moment de la reconstruction des objets étudiés. Cette amélioration peut s'effectuer par la recherche d'algorithmes d'imagerie plus performants d'une part et par la recherche d'une meilleure configuration de mesures d'autre part. La première approche (recherche d'algorithmes) permet d'améliorer le processus d'extraction de l'information présente dans un échantillon de mesures donné. Néanmoins, la qualité des résultats d'imagerie reste limitée par la quantité d'information initialement disponible. La seconde approche consiste à choisir la configuration de mesures de manière à augmenter la quantité d'information disponible dans les données. Pour cette approche, il est nécessaire de quantifier la quantité d'information dans les données. En théorie de l'estimation, ceci équivaut à quantifier la performance du système. Dans cette thèse, nous utilisons la Borne de Cramer Rao comme mesure de performance, car elle permet d'analyser la performance des systèmes de mesures sans être influencé par le choix de la méthode d'inversion utilisée. Deux analyses sont proposées dans ce manuscrit. La première consiste en l'évaluation de l'influence des facteurs expérimentaux sur la performance d'inversion. Cette analyse a été effectuée pour différents objets le tout sous une hypothèse de configuration bidimensionnelle. La seconde analyse consiste à comparer les performances de l'estimateur obtenu avec l'approximation de Born aux valeurs de la borne de Cramer Rao (BCR); l'objectif étant d'illustrer d'autres applications possibles de la BCR. / Improving the performance of diffraction based imaging systems constitutes a major issue in both acoustic and electromagnetic scattering. To solve this problem, two main approaches can be explored. The first one consists in improving the inversion algorithms used in diffraction based imaging. However, while this approach generally leads to a significant improvement of the performance of the imaging system, it remains limited by the initial amount of information available within the measurements. The second one consists in improving the measurement system in order to maximize the amount of information within the experimental data. This approach does require a quantitative mean of measuring the amount of information available. In estimation problems, the {appraisal of the} performance of the system is often used for that purpose. In this Ph.D. thesis, we use the Cramer Rao bound to assess the performance of the imaging system. In fact, this quantity has the advantage of providing an assessment which is independent from the inversion algorithm used. Two main analysis are discussed in this thesis. The first analysis explores the influence on the system's performance, of several experimental conditions such as the antennas positions, the radiation pattern of the source, the properties of the background medium, etc. Two classes of objects are considered: 2D homogeneous circular cylindrical objects and 2D cylindrical objects with defect. The second analysis studies the performance of an estimator based on Born approximation with the Cramer Rao Bound as reference. The aim of this second analysis is to showcase other possible applications for the Cramer Rao Bound.

Made available in DSpace on 2016-04-28T14:16:32Z (GMT). No. of bitstreams: 1 Andrea Bortolotto.pdf: 93137 bytes, checksum: 6387d58e0c4ab8f964e1c7faa1071200 (MD5) Previous issue date: 2008-05-15 / Coordenação de Aperfeiçoamento de Pessoal de Nível Superior / In this dissertation, we seek to corroborate which are the contributions of Chemistry to the identification, extraction and classification of minerals in the XVIII century, as well as, to discuss that the History of Chemistry must not be understood in terms of a tight line of thoughts. For that, we analyze the work of Johann Andreas Cramer (1710- 1777), Elements of the Art of Assaying Metals. Cramer proposed a method of mineral assaying based on the chemical behavior of the bodies, which allowed him to identify, extract and classify the minerals with more assertiveness. To elaborate his work, Crammer exploited the works of G. E. Stahl and of H. Boerhaave, two very different sources and considered, for a long time, opposite ideas. This fact has enlightened us that in the History of Chemistry there were moments in which the line of thoughts distanced themselves but also moments they completed each other, evidence that lead us to the conclusion that the History of Chemistry must be faced in terms of non-progressive analysis, not despising, however, its continuity / Nessa dissertação, buscamos verificar quais as contribuições da Química para a identificação, extração e classificação mineral no século XVIII, bem como discutir que a História da Química não deve ser entendida em termos de correntes estanques de pensamento. Para tanto, analisamos o trabalho de Johann Andreas Cramer (1710-1777), Elements of the Art of Assaying Metals. Cramer propôs um método de ensaio mineral baseado no comportamento químico dos corpos, o que permitiu identificar, extrair e classificar os minerais com mais precisão. Para elaborar seu trabalho, Cramer utilizou-se dos trabalhos de G. E. Stahl e de H. Boerhaave, fontes bem diferentes e consideradas opostas por muito tempo. Esse fato nos revelou que na História da Química houve momentos em que as correntes de pensamento se distanciavam mas também momentos em que se completavam, constatação esta que nos conduz à conclusão de que a História da Química deva ser pensada em termos de análises não-continuístas, não desprezando, entretanto, suas continuidades

Cognitive radio is a recent novel approach for the realization of intelligent and sophisticated wireless systems. Although the research and development on cognitive radio is still in the stage of infancy, there are significant interests and efforts towards realization of cognitive radio. Cognitive radio systems are envisioned to support context awareness and related systems. The context can be spectrum, environment, location, waveform, power and other radio resources. Significant amount of the studies related to cognitive radio in the literature focuses on the spectrum awareness since it is one of the most crucial features of cognitive radio systems. However, the rest of the features of cognitive radio such as location and environment awareness have not been investigated thoroughly. For instance, location aware systems are widespread and the demand for more advanced ones are growing. Therefore, the main objective of this dissertation is to develop an underlying location awareness architecture for cognitive radio systems, which is described as location awareness engine, in order to support goal driven and autonomous location aware systems. A cognitive radio conceptual model with location awareness engine and cycle is developed by inspiring from the location awareness features of human being and bat echolocation systems. Additionally, the functionalities of the engine are identified and presented. Upon providing the functionalities of location awareness engine, the focus is given to the development of cognitive positioning systems. Furthermore, range accuracy adaptation, which is a cognitive behavior of bats, is developed for cognitive positioning systems. In what follows, two main approaches are investigated in order to improve the performance of range accuracy adaptation method. The first approach is based on idea of improving the spectrum availability through hybrid underlay and overlay dynamic spectrum access method. On the other hand, the second approach emphasizes on spectrum utilization, where we study performance of range accuracy adaptation from both theoretical and practical perspectives considering whole spectrum utilization approach. Furthermore, we introduced a new spectrum utilization technique that is referred as dispersed spectrum utilization. The performance analysis of dispersed spectrum utilization approach is studied considering time delay estimation problem in cognitive positioning systems. Afterward, the performance of whole and dispersed spectrum utilization approaches are compared in the context of cognitive positioning systems. Finally, some representative advanced location aware systems for cognitive radio networks are presented in order to demonstrate some potential applications of the proposed location awareness engine in cognitive radio systems.