Download or read book M thodes math matiques en analyse du signal written by Christian Soize and published by Elsevier Masson. This book was released on 1993-01-01 with total page 594 pages. Available in PDF, EPUB and Kindle. Book excerpt: Ce cours aborde les bases de la théorie du traitement du signal. Il explicite les méthodes pour le traitement analogique et numérique du signal. La première partie expose les aspects déterministes. Les transformées de Laplace et de Fourier, le développement en série de Fourier et la transformée en z sont tout d'abord présentés. Puis on étudie les transformations intégrales linéaires des signaux, les filtres linéaires de convolution, les filtres dynamiques et les filtres classiques (passe-bas, passe-bande, etc.), l'association de certaines transformations intégrales aux équations différentielles, la théorie de l'approximation des signaux, enfin, le problème central de l'échantillonnage des signaux déterministes. La deuxième partie traite des aspects aléatoires du traitement du signal. Les résultats les plus importants de la théorie des probabilités, des processus et des champs stochastiques sont explicités. On y introduit également les notions de stationnarité, de processus de Markov et de diffusion, d'équation de Fokker-Planck, de bruits blancs, de processus du second ordre, des transformations intégrales des processus et du filtrage linéaire des processus. Les méthodes de représentation des processus sont ensuite étudiées (développement de Karhunen-Loeve, représentation intégrale, mesure stochastique et échantillonnage des processus avec utilisation des filtres anti-repliement). L'estimation des caractéristiques du second ordre des processus non stationnaires et stationnaires est ensuite explicitée. Enfin, dans une troisième partie, de nombreux problèmes et exercices corrigés permettront au lecteur d'assimiler l'ensemble des notions présentées. Il est amené à acquérir, à partir d'un cadre mathématique simple et rigoureux, toutes les bases nécessaires à la résolution des problèmes classiques en traitement du signal. L'ouvrage lui permettra d'aborder ensuite sans difficulté des applications très spécialisées. L'originalité du livre réside dans l'approche strictement mathématique du traitement du signal. Ce cours est cependant tout à fait accessible aux scientifiques non-mathématiciens et a été rédigé à leur intention.

Download or read book Analog and Digital Signal Analysis written by Frédéric Cohen Tenoudji and published by Springer. This book was released on 2016-08-26 with total page 618 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides comprehensive, graduate-level treatment of analog and digital signal analysis suitable for course use and self-guided learning. This expert text guides the reader from the basics of signal theory through a range of application tools for use in acoustic analysis, geophysics, and data compression. Each concept is introduced and explained step by step, and the necessary mathematical formulae are integrated in an accessible and intuitive way. The first part of the book explores how analog systems and signals form the basics of signal analysis. This section covers Fourier series and integral transforms of analog signals, Laplace and Hilbert transforms, the main analog filter classes, and signal modulations. Part II covers digital signals, demonstrating their key advantages. It presents z and Fourier transforms, digital filtering, inverse filters, deconvolution, and parametric modeling for deterministic signals. Wavelet decomposition and reconstruction of non-stationary signals are also discussed. The third part of the book is devoted to random signals, including spectral estimation, parametric modeling, and Tikhonov regularization. It covers statistics of one and two random variables and the principles and methods of spectral analysis. Estimation of signal properties is discussed in the context of ergodicity conditions and parameter estimations, including the use of Wiener and Kalman filters. Two appendices cover the basics of integration in the complex plane and linear algebra. A third appendix presents a basic Matlab toolkit for computer signal analysis. This expert text provides both a solid theoretical understanding and tools for real-world applications.

Download or read book M thodes math matiques de la th orie et du traitement du signal written by Christian Soize and published by . This book was released on 1991 with total page 598 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book M thodes math matiques pour le Traitement du Signal written by François Dubois and published by . This book was released on 2019-09-08 with total page 130 pages. Available in PDF, EPUB and Kindle. Book excerpt: Ce livre est issu d un enseignement de troisième année de Licence au Conservatoire National des Arts et Métiers à Paris, transmis au cours de la période 2012-2019. Le programme suivi touche à l'analyse fonctionnelle et à l'analyse de Fourier dans une première partie. Les distributions sont introduites dans la seconde partie, uniquement dans le cas fondamental des distributions sur la droite réelle. La notion de solution élémentaire est mise en exergue avec le filtrage linéaire. Le traitement du signal discret est abordé en fin d'ouvrage, en se situant dans le cadre des distributions. Chaque chapitre contient un résumé de cours et des énoncés d'exercices.

Download or read book Modelling Mathematical Methods and Scientific Computation written by Nicola Bellomo and published by CRC Press. This book was released on 1994-12-22 with total page 516 pages. Available in PDF, EPUB and Kindle. Book excerpt: Addressed to engineers, scientists, and applied mathematicians, this book explores the fundamental aspects of mathematical modelling in applied sciences and related mathematical and computational methods. After providing the general framework needed for mathematical modelling-definitions, classifications, general modelling procedures, and validation methods-the authors deal with the analysis of discrete models. This includes modelling methods and related mathematical methods. The analysis of models is defined in terms of ordinary differential equations. The analysis of continuous models, particularly models defined in terms of partial differential equations, follows. The authors then examine inverse type problems and stochastic modelling. Three appendices provide a concise guide to functional analysis, approximation theory, and probability, and a diskette included with the book includes ten scientific programs to introduce the reader to scientific computation at a practical level.

Download or read book Analyse et traitement des signaux written by Étienne Tisserand and published by . This book was released on 2009-01-14 with total page 316 pages. Available in PDF, EPUB and Kindle. Book excerpt: Cet ouvrage s'adresse aux étudiants en fin de 1er cycle (Licence, DUT, BTS) et en début de Master. Son contenu est adapté aux formations en automatique, électronique, informatique, physique et mathématiques appliquées. Du multimédia aux télécommunications, du capteur à la mesure, du contrôle industriel à l'imagerie médicale, la plupart des secteurs scientifiques et techniques exploitent les méthodes d'analyse et de traitement des signaux. La connaissance et la maîtrise de cette discipline sont devenues indispensables aux techniciens, ingénieurs et chercheurs. Les objectifs de cet ouvrage sont les suivants : proposer une approche scientifique des signaux sonores et des images ; comprendre les opérations d'échantillonnage, de quantification et de synthèse d'un signal ; analyser ses composantes spectrales et mesurer ses relations de dépendance ; maîtriser et appliquer les méthodes de filtrage analogiques et numériques. Dans cette nouvelle édition actualisée, des nouveautés sont introduites : la modélisation de la transformation 3D/2D, la calibration géométrique d'une prise de vue, la représentation d'un signal dans une base quelconque et la transformation de Hilbert. Une place plus importante est consacrée aux exercices d'application qui complètent chaque chapitre. [Source : 4e de couv.]

Download or read book Fourteenth International Conference Zaragoza Pau on Mathematics and its Applications written by López de Silanes, M. C. and published by Prensas de la Universidad de Zaragoza. This book was released on 2018-02-20 with total page 242 pages. Available in PDF, EPUB and Kindle. Book excerpt: The International Conference Zaragoza-Pau on Mathematics and its Applications was organized by the Departamento de Matemática Aplicada, the Departamento de Métodos Estadísticos and the Departamento de Matemáticas, all of them from the Universidad de Zaragoza (Spain), and the Laboratoire de Mathématiques et de leurs Applications, from the Université de Pau et des Pays de l’Adour (France). This conference has been held every two years since 1989. The aim of this conference is to present recent advances in Applied Mathematics, Statistics and Pure Mathematics, putting special emphasis on subjects linked to petroleum engineering and environmental problems. The Fourteenth Conference took place in Jaca (Spain) from 12nd to 15th September 2016. During those four days, 99 mathematicians, coming from di erent universities, research institutes or the industrial sector, attended 14 plenary lectures, 62 contributed talks and a poster session with 4 posters. We note that in this edition there were 11 mini-symposia, two of them co-organized by colleagues from the Universidad de Zaragoza and the Université de Pau et des Pays de l’Adour.

Download or read book Computational Stochastic Mechanics written by P.D. Spanos and published by CRC Press. This book was released on 1999-11-09 with total page 628 pages. Available in PDF, EPUB and Kindle. Book excerpt: Proceedings of the June, 1998 conference. Seventy contributions discuss Monte Carlo and signal processing methods, random vibrations, safety and reliability, control/optimization and modeling of nonlinearity, earthquake engineering, random processes and fields, damage/fatigue materials, applied prob

Download or read book Analyse et traitement des signaux 2e d written by Etienne Tisserand and published by Dunod. This book was released on 2009-01-14 with total page 330 pages. Available in PDF, EPUB and Kindle. Book excerpt: Les méthodes et techniques de traitement des signaux ont connu un essor sans précédent depuis ces trente dernières années. La maîtrise de l'analyse et du traitement du signal est primordiale dans le multimédia et internet, en radiotéléphonie, dans le domaine médical, dans les mesures car le technicien ou l'ingénieur doivent exploiter au mieux le signal pour en extraire l'information utile. Dans cette nouvelle édition, le cours a été entièrement actualisé pour tenir compte des nouveaux formats utilisés pour le son, l'image et la vidéo. L'étudiant trouvera aussi des exemples et des exercices d'applications supplémentaires et il pourra se référer, en fin de chaque chapitre, à des fiches méthodes.

Download or read book Modelling Simulation and Optimization written by Gregorio Romero and published by BoD – Books on Demand. This book was released on 2010-02-01 with total page 722 pages. Available in PDF, EPUB and Kindle. Book excerpt: Computer-Aided Design and system analysis aim to find mathematical models that allow emulating the behaviour of components and facilities. The high competitiveness in industry, the little time available for product development and the high cost in terms of time and money of producing the initial prototypes means that the computer-aided design and analysis of products are taking on major importance. On the other hand, in most areas of engineering the components of a system are interconnected and belong to different domains of physics (mechanics, electrics, hydraulics, thermal...). When developing a complete multidisciplinary system, it needs to integrate a design procedure to ensure that it will be successfully achieved. Engineering systems require an analysis of their dynamic behaviour (evolution over time or path of their different variables). The purpose of modelling and simulating dynamic systems is to generate a set of algebraic and differential equations or a mathematical model. In order to perform rapid product optimisation iterations, the models must be formulated and evaluated in the most efficient way. Automated environments contribute to this. One of the pioneers of simulation technology in medicine defines simulation as a technique, not a technology, that replaces real experiences with guided experiences reproducing important aspects of the real world in a fully interactive fashion [iii]. In the following chapters the reader will be introduced to the world of simulation in topics of current interest such as medicine, military purposes and their use in industry for diverse applications that range from the use of networks to combining thermal, chemical or electrical aspects, among others. We hope that after reading the different sections of this book we will have succeeded in bringing across what the scientific community is doing in the field of simulation and that it will be to your interest and liking. Lastly, we would like to thank all the authors for their excellent contributions in the different areas of simulation.

Download or read book Advances in Imaging and Electron Physics written by Peter W. Hawkes and published by Elsevier. This book was released on 2002-11-04 with total page 421 pages. Available in PDF, EPUB and Kindle. Book excerpt: Advances in Imaging and Electron Physics merges two long-running serials--Advances in Electronics and Electron Physics and Advances in Optical and Electron Microscopy. The series features extended articles on the physics of electron devices (especially semiconductor devices), particle optics at high and low energies, microlithography, image science and digital image processing, electromagnetic wave propagation, electron microscopy, and the computing methods used in all these domains.

Download or read book Structural Acoustics and Vibration written by Roger Ohayon and published by Elsevier. This book was released on 1997-10-15 with total page 437 pages. Available in PDF, EPUB and Kindle. Book excerpt: Structural Acoustics and Vibration presents the modeling of vibrations of complex structures coupled with acoustic fluids in the low and medium frequency ranges. It is devoted to mechanical models, variationalformulations and discretization for calculating linear vibrations in the frequency domain of complex structures. The book includes theoretical formulations which are directly applicable to develop computer codes for the numerical simulation of complex systems, and gives a general scientific strategy to solve various complex structural acoustics problems in different areas such as spacecraft, aircraft, automobiles, and naval structures. The researcher may directly apply the material of the book to practical problems such as acoustic pollution, the comfort of passengers, and acoustic loads induced by propellers. Structural Acoustics and Vibration considers the mechanical and numerical aspects of the problem, and gives original solutions to the predictability of vibrations of complex structures interacting with internal and external, liquid and gaseous fluids. It is a self-contained general synthesis with a didactic presentation and fills the gap between analytical methods applied to simple geometries and statistical methods, which are useful in high frequency structural acoustic problems. Provides for the first time complex structures in scientific literature Presents a self-contained general synthesis with a didactic presentation Integrates the most advanced research topics on the subject Enables the researcher to solve complex structural acoustics problems in areas such as spacecraft, aircraft, automobiles, and naval structures Fills the gap between analytical methods applied to simple geometries and statistical methods Contains advanced mechanical and numerical modeling Provides appropriate formulations directly applicable for developing computer codes for the numerical simulation of complex systemssystems

Download or read book Th orie et traitement du signal written by Messaoud Benidir and published by . This book was released on 2004 with total page 274 pages. Available in PDF, EPUB and Kindle. Book excerpt: Parce que l'évolution des technologies de l'électronique est permanente et leur maîtrise délicate et exigeante, il est devenu indispensable aujourd'hui de posséder toutes les connaissances théoriques et pratiques du traitement du signal. A la pointe dans ce domaine, cet ouvrage très complet rassemble en deux volumes les résultats majeurs du traitement du signal, analyse leurs fondements mathématiques et expose leur mise en œuvre. Dans le premier volume, l'auteur décrit les modèles et les outils mathématiques de représentation des signaux. Ce deuxième volume expose les méthodes de base en traitement du signal : méthodes récursives pour le filtrage et l'estimation d'un signal, méthodes d'analyse spectrale, méthodes d'analyse temps-fréquence, méthodes d'analyse temps-échelle, méthodes d'analyse polyspectrale. Cet ouvrage est destiné aux élèves en écoles d'ingénieurs, ainsi qu'aux étudiants en 2e cycle/Master. Un site Web associé propose des exercices corrigés supplémentaires et des compléments.

Download or read book Signal Processing written by Charles L. Byrne and published by CRC Press. This book was released on 2014-11-12 with total page 441 pages. Available in PDF, EPUB and Kindle. Book excerpt: Signal Processing: A Mathematical Approach is designed to show how many of the mathematical tools the reader knows can be used to understand and employ signal processing techniques in an applied environment. Assuming an advanced undergraduate- or graduate-level understanding of mathematics—including familiarity with Fourier series, matrices, probability, and statistics—this Second Edition: Contains new chapters on convolution and the vector DFT, plane-wave propagation, and the BLUE and Kalman filters Expands the material on Fourier analysis to three new chapters to provide additional background information Presents real-world examples of applications that demonstrate how mathematics is used in remote sensing Featuring problems for use in the classroom or practice, Signal Processing: A Mathematical Approach, Second Edition covers topics such as Fourier series and transforms in one and several variables; applications to acoustic and electro-magnetic propagation models, transmission and emission tomography, and image reconstruction; sampling and the limited data problem; matrix methods, singular value decomposition, and data compression; optimization techniques in signal and image reconstruction from projections; autocorrelations and power spectra; high-resolution methods; detection and optimal filtering; and eigenvector-based methods for array processing and statistical filtering, time-frequency analysis, and wavelets.

Download or read book Applications of Statistics and Probability in Civil Engineering written by Michael Faber and published by CRC Press. This book was released on 2011-07-15 with total page 938 pages. Available in PDF, EPUB and Kindle. Book excerpt: Under the pressure of harsh environmental conditions and natural hazards, large parts of the world population are struggling to maintain their livelihoods. Population growth, increasing land utilization and shrinking natural resources have led to an increasing demand of improved efficiency of existing technologies and the development of new ones. A

Download or read book Traitement num rique du signal written by Smain Femmam and published by ISTE Group. This book was released on 2017-10-01 with total page 307 pages. Available in PDF, EPUB and Kindle. Book excerpt: L'étude des propriétés caractéristiques de signaux et systèmes, et la connaissance des outils mathématiques et des méthodes de traitement et analyse, prennent de l'importance et ne cessent d'évoluer. La raison en est que l'état actuel de la technique, particulièrement de l'électronique et de l'informatique, rend possible la réalisation de systèmes de traitement très avancés, efficaces et de moins en moins coûteux en dépit de la complexité. Le traitement du signal concerne les diverses opérations effectuées sur une grandeur physique analogique ou numérique dans le but d’une analyse, d’une interprétation ou de l’extraction d’informations. La maîtrise et la mise en oeuvre des techniques de traitement du signal nécessitent la connaissance de certains outils théoriques. Traitement numérique du signal expose les concepts de base de l’étude théorique et précise les méthodes courantes de traitement. Ce premier volume traite également de l'identification et la synthèse de lois de commandes dans le but de la stabilisation et de la régulation.

Download or read book M thodes adaptatives pour le signal written by François Michaut and published by Hermes Science Publications. This book was released on 1992-01-01 with total page 323 pages. Available in PDF, EPUB and Kindle. Book excerpt: