Download or read book l ments de math matiques du signal written by Hervé Reinhard and published by . This book was released on 2002 with total page 380 pages. Available in PDF, EPUB and Kindle. Book excerpt: Ce manuel, entièrement révisé dans cette troisième édition, expose les principaux théorèmes et définitions sur les signaux déterministes et aléatoires. Il aborde en 16 chapitres et de manière détaillée les thèmes suivants : signaux, les notions de limite et d'énergie, les séries de Fourier, le filtrage analogique, les transformées de Fourier et de Laplace, la théorie des distributions et les spectres, les espaces de probabilités, les variables aléatoires,... Chaque chapitre est suivi d'un résumé, qui met en évidence le fil conducteur ; il est souvent suivi d'un formulaire. Ce livre s'adresse principalement aux étudiants et futurs électroniciens, automaticiens et physiciens (2e cycle universitaire et écoles d'ingénieurs). Il est complété par un recueil d'exercices corrigés publié dans la même collection et rédigé par D. Ghorbanzadeh, P. Marry, N. Point et D. Vial.

Download or read book l ments de math matiques du signal written by Hervé Reinhard and published by . This book was released on 1996 with total page 226 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Signaux d terministes written by Hervé Reinhard and published by . This book was released on 1995 with total page 225 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book l ments de math matiques du signal written by Dariush Ghorbanzadeh and published by . This book was released on 2002 with total page 283 pages. Available in PDF, EPUB and Kindle. Book excerpt: La seconde édition de ce recueil d'exercices résolus s'adresse principalement aux étudiants et futurs électroniciens, automaticiens et physiciens. Il complète le cours de Hervé Reinhard, Eléments de mathématique du signal, paru dans la même collection. La plupart des chapitres s'ouvrent sur un rappel des notions, théorèmes et notations les plus utilisés. Deux types d'exercices, dont plusieurs sont nouveaux dans cette seconde édition, sont par ailleurs proposés. Certains visent à l'apprentissage du maniement des concepts fondamentaux et peuvent, de ce fait, sembler un peu abstraits. Il convient cependant de ne pas les négliger car ils ont été sélectionnés pour permettre au lecteur d'éviter certaines idées fausses ainsi que des confusions avec des objets mathématiques déjà connus. D'autres sont orientés vers l'utilisation des concepts dans des applications pratiques.

Download or read book El ments de math matiques du signal written by Michel Carbon and published by . This book was released on 1997 with total page 277 pages. Available in PDF, EPUB and Kindle. Book excerpt: Ce recueil d'exercices résolus est le complément de l'ouvrage Eléments de mathématiques du signal de H. Reinhard. Deux types d'exercices sont proposés ici. Certains visent à l'appprentissage du maniement des concepts fondamentaux et peuvent de ce fait, sembler un peu abstraits. Il convient cependant de ne pas les négliger car ils ont été sélectionnés pour permettre au lecteur d'éviter certaines idées fausses ainsi que des confusions avec des objets mathématiques déjà connus. D'autres sont orientés vers l'utilisation des concepts dans des applications pratiques. Pour chaque exercice, le lecteur devrait essayer de chercher la solution question par question. Une fois la réponse trouvée, ou en cas d'échec prolongé, on peut se reporter à la solution proposée et essayer de comprendre les erreurs ou les points de blocages éventuels avant de passer à la question suivante. La plupart des chapitres s'ouvrent sur un rappel des notions, théorèmes et notations les plus utilisés. Il s'agit de simples rappels qui ne dispensent pas le lecteur de se reporter au chapitre correspondant du cours. Un index des notations utilisées figure en tête de l'ouvrage.

Download or read book ELEMENTS DE MATHEMATIQUES DU SIGNAL written by Hervé Reinhard and published by . This book was released on 1997-10-01 with total page 226 pages. Available in PDF, EPUB and Kindle. Book excerpt: Ce manuel développe la matière du cours professé au Conservatoire national des arts et métiers. Il remplace le Cours de mathématiques du signal publié pour la première fois en 1986 et réédité à de nombreuses reprises. Il en diffère considérablement dans la présentation, plus simple et plus efficace, et dans le contenu plus adapté aux besoins des futurs électroniciens, automaticiens ou physiciens auxquels il s'adresse. Chaque chapitre est suivi d'un résumé - qui n'est pas un abrégé - mais qui met en évidence le fil conducteur. Dans de nombreux cas, des formulaires complètent le résumé.

Download or read book Modern Signal Processing written by Daniel N. Rockmore and published by Cambridge University Press. This book was released on 2004-04-05 with total page 356 pages. Available in PDF, EPUB and Kindle. Book excerpt: A description of the mathematical basis of signal processing, and many areas of application.

Download or read book Advanced Topics in System and Signal Theory written by Volker Pohl and published by Springer Science & Business Media. This book was released on 2009-10-03 with total page 245 pages. Available in PDF, EPUB and Kindle. Book excerpt: The requirement of causality in system theory is inevitably accompanied by the appearance of certain mathematical operations, namely the Riesz proj- tion,theHilberttransform,andthespectralfactorizationmapping.Aclassical exampleillustratingthisisthedeterminationoftheso-calledWiener?lter(the linear, minimum means square error estimation ?lter for stationary stochastic sequences [88]). If the ?lter is not required to be causal, the transfer function of the Wiener ?lter is simply given by H(?)=? (?)/? (?),where ? (?) xy xx xx and ? (?) are certain given functions. However, if one requires that the - xy timation ?lter is causal, the transfer function of the optimal ?lter is given by 1 ? (?) xy H(?)= P ,?? (??,?] . + [? ] (?) [? ] (?) xx + xx? Here [? ] and [? ] represent the so called spectral factors of ? ,and xx + xx? xx P is the so called Riesz projection. Thus, compared to the non-causal ?lter, + two additional operations are necessary for the determination of the causal ?lter, namely the spectral factorization mapping ? ? ([? ] ,[? ] ),and xx xx + xx? the Riesz projection P .

Download or read book l ments math matiques de la th orie d terministe et al atoire du signal written by Christian Soize and published by . This book was released on 1983 with total page 405 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Discrete Fourier Analysis and Wavelets written by S. Allen Broughton and published by John Wiley & Sons. This book was released on 2011-10-13 with total page 266 pages. Available in PDF, EPUB and Kindle. Book excerpt: A thorough guide to the classical and contemporary mathematical methods of modern signal and image processing Discrete Fourier Analysis and Wavelets presents a thorough introduction to the mathematical foundations of signal and image processing. Key concepts and applications are addressed in a thought-provoking manner and are implemented using vector, matrix, and linear algebra methods. With a balanced focus on mathematical theory and computational techniques, this self-contained book equips readers with the essential knowledge needed to transition smoothly from mathematical models to practical digital data applications. The book first establishes a complete vector space and matrix framework for analyzing signals and images. Classical methods such as the discrete Fourier transform, the discrete cosine transform, and their application to JPEG compression are outlined followed by coverage of the Fourier series and the general theory of inner product spaces and orthogonal bases. The book then addresses convolution, filtering, and windowing techniques for signals and images. Finally, modern approaches are introduced, including wavelets and the theory of filter banks as a means of understanding the multiscale localized analysis underlying the JPEG 2000 compression standard. Throughout the book, examples using image compression demonstrate how mathematical theory translates into application. Additional applications such as progressive transmission of images, image denoising, spectrographic analysis, and edge detection are discussed. Each chapter provides a series of exercises as well as a MATLAB project that allows readers to apply mathematical concepts to solving real problems. Additional MATLAB routines are available via the book's related Web site. With its insightful treatment of the underlying mathematics in image compression and signal processing, Discrete Fourier Analysis and Wavelets is an ideal book for mathematics, engineering, and computer science courses at the upper-undergraduate and beginning graduate levels. It is also a valuable resource for mathematicians, engineers, and other practitioners who would like to learn more about the relevance of mathematics in digital data processing.

Download or read book Operators Functions and Systems An Easy Reading written by Nikolai K. Nikolski and published by American Mathematical Soc.. This book was released on 2010-10-06 with total page 458 pages. Available in PDF, EPUB and Kindle. Book excerpt: Together with the companion volume by the same author, Operators, Functions, and Systems: An Easy Reading. Volume 1: Hardy, Hankel, and Toeplitz, Mathematical Surveys and Monographs, Vol. 92, AMS, 2002, this unique work combines four major topics of modern analysis and its applications: A. Hardy classes of holomorphic functions, B. Spectral theory of Hankel and Toeplitz operators, C. Function models for linear operators and free interpolations, and D. Infinite-dimensional system theory and signal processing. This volume contains Parts C and D. Function models for linear operators and free interpolations: This is a universal topic and, indeed, is the most influential operator theory technique in the post-spectral-theorem era. In this book, its capacity is tested by solving generalized Carleson-type interpolation problems. Infinite-dimensional system theory and signal processing: This topic is the touchstone of the three previously developed techniques. The presence of this applied topic in a pure mathematics environment reflects important changes in the mathematical landscape of the last 20 years, in that the role of the main consumer and customer of harmonic, complex, and operator analysis has more and more passed from differential equations, scattering theory, and probability to control theory and signal processing. This and the companion volume are geared toward a wide audience of readers, from graduate students to professional mathematicians. They develop an elementary approach to the subject while retaining an expert level that can be applied in advanced analysis and selected applications.

Download or read book Mathematical Foundations for Signal Processing Communications and Networking written by Erchin Serpedin and published by CRC Press. This book was released on 2011-12-21 with total page 859 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematical Foundations for Signal Processing, Communications, and Networking describes mathematical concepts and results important in the design, analysis, and optimization of signal processing algorithms, modern communication systems, and networks. Helping readers master key techniques and comprehend the current research literature, the book offers a comprehensive overview of methods and applications from linear algebra, numerical analysis, statistics, probability, stochastic processes, and optimization. From basic transforms to Monte Carlo simulation to linear programming, the text covers a broad range of mathematical techniques essential to understanding the concepts and results in signal processing, telecommunications, and networking. Along with discussing mathematical theory, each self-contained chapter presents examples that illustrate the use of various mathematical concepts to solve different applications. Each chapter also includes a set of homework exercises and readings for additional study. This text helps readers understand fundamental and advanced results as well as recent research trends in the interrelated fields of signal processing, telecommunications, and networking. It provides all the necessary mathematical background to prepare students for more advanced courses and train specialists working in these areas.

Download or read book From Algebraic Structures to Tensors written by Gérard Favier and published by John Wiley & Sons. This book was released on 2020-01-02 with total page 324 pages. Available in PDF, EPUB and Kindle. Book excerpt: Nowadays, tensors play a central role for the representation, mining, analysis, and fusion of multidimensional, multimodal, and heterogeneous big data in numerous fields. This set on Matrices and Tensors in Signal Processing aims at giving a self-contained and comprehensive presentation of various concepts and methods, starting from fundamental algebraic structures to advanced tensor-based applications, including recently developed tensor models and efficient algorithms for dimensionality reduction and parameter estimation. Although its title suggests an orientation towards signal processing, the results presented in this set will also be of use to readers interested in other disciplines. This first book provides an introduction to matrices and tensors of higher-order based on the structures of vector space and tensor space. Some standard algebraic structures are first described, with a focus on the hilbertian approach for signal representation, and function approximation based on Fourier series and orthogonal polynomial series. Matrices and hypermatrices associated with linear, bilinear and multilinear maps are more particularly studied. Some basic results are presented for block matrices. The notions of decomposition, rank, eigenvalue, singular value, and unfolding of a tensor are introduced, by emphasizing similarities and differences between matrices and tensors of higher-order.

Download or read book El ments math matiques de la th orie d terministe et al atoire du signal written by Christian Soize and published by . This book was released on 1985 with total page 379 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Fourier Analysis written by Roger Ceschi and published by John Wiley & Sons. This book was released on 2017-02-06 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book aims to learn to use the basic concepts in signal processing. Each chapter is a reminder of the basic principles is presented followed by a series of corrected exercises. After resolution of these exercises, the reader can pretend to know those principles that are the basis of this theme. "We do not learn anything by word, but by example."

Download or read book Mathematical Methods and Algorithms for Signal Processing written by Todd K. Moon and published by Pearson. This book was released on 2000 with total page 990 pages. Available in PDF, EPUB and Kindle. Book excerpt: This previously included a CD. The CD contents can be accessed via World Wide Web.

Download or read book Math matiques du signal et statistiques l IUT Cours et travaux dirig s IUT mesures physiques written by Angela Gammella-Mathieu and published by Editions Ellipses. This book was released on 2019-05-28 with total page 530 pages. Available in PDF, EPUB and Kindle. Book excerpt: Le présent ouvrage, consacré aux mathématiques du signal et aux statistiques, est rédigé dans un langage simple mais rigoureux, pour être accessible à un large public. Principalement destiné aux étudiants préparant un DUT de Mesures Physiques, ce livre couvre aussi les programmes de plusieurs autres IUT et de certains BTS. De plus, il peut être utilisé par les étudiants inscrits à l’université en licence ou en master, par les élèves des classes préparatoires scientifiques et commerciales, par les élèves des classes préparatoires intégrées, par les élèves ingénieurs, par les candidats aux concours de l’enseignement, et, dans une moindre mesure, par tous les professionnels qui utilisent les mathématiques. Trois parties sont développées. La première partie traite essentiellement des séries de Fourier et des transformations de Fourier, de Laplace et en Z. La deuxième partie introduit les statistiques inférentielles et étudie les problèmes d’estimation et les tests statistiques. La dernière partie contient des compléments pour tous les étudiants qui poursuivent leurs études, notamment en écoles d’ingénieurs. Tous les chapitres comportent des rappels de cours avec démonstration des principaux résultats et proposent des exercices variés, classés par ordre de difficulté et entièrement corrigés. Des sujets d’examen et des questionnaires à choix multiples sont également fournis afin de permettre aux lecteurs de réviser efficacement.