Frequency Analysis
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Foundations Of Time Frequency Analysis
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Author : Karlheinz Gröchenig
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-12-01
Foundations Of Time Frequency Analysis written by Karlheinz Gröchenig and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-12-01 with Technology & Engineering categories.
Time-frequency analysis is a modern branch of harmonic analysis. It com prises all those parts of mathematics and its applications that use the struc ture of translations and modulations (or time-frequency shifts) for the anal ysis of functions and operators. Time-frequency analysis is a form of local Fourier analysis that treats time and frequency simultaneously and sym metrically. My goal is a systematic exposition of the foundations of time-frequency analysis, whence the title of the book. The topics range from the elemen tary theory of the short-time Fourier transform and classical results about the Wigner distribution via the recent theory of Gabor frames to quantita tive methods in time-frequency analysis and the theory of pseudodifferential operators. This book is motivated by applications in signal analysis and quantum mechanics, but it is not about these applications. The main ori entation is toward the detailed mathematical investigation of the rich and elegant structures underlying time-frequency analysis. Time-frequency analysis originates in the early development of quantum mechanics by H. Weyl, E. Wigner, and J. von Neumann around 1930, and in the theoretical foundation of information theory and signal analysis by D.
Configural Frequency Analysis
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Author : Alexander von Eye
language : en
Publisher: Psychology Press
Release Date : 2003-01-30
Configural Frequency Analysis written by Alexander von Eye and has been published by Psychology Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-01-30 with Psychology categories.
Configural Frequency Analysis (CFA) provides an up-to-the-minute comprehensive introduction to its techniques, models, and applications. Written in a formal yet accessible style, actual empirical data examples are used to illustrate key concepts. Step-by-step program sequences are used to show readers how to employ CFA methods using commercial software packages, such as SAS, SPSS, SYSTAT, S-Plus, or those written specifically to perform CFA. CFA is an important method for analyzing results involved with categorical and longitudinal data. It allows one to answer the question of whether individual cells or groups of cells of cross-classifications differ significantly from expectations. The expectations are calculated using methods employed in log-linear modeling or a priori information. It is the only statistical method that allows one to make statements about empty areas in the data space. Applied and or person-oriented researchers, statisticians, and advanced students interested in CFA and categorical and longitudinal data will find this book to be a valuable resource. Developed since 1969, this method is now used by a large number of researchers around the world in a variety of disciplines, including psychology, education, medicine, and sociology. Configural Frequency Analysis will serve as an excellent text for courses on configural frequency analysis, categorical variable analysis, or analysis of contingency tables. Prerequisites include an understanding of descriptive statistics, hypothesis testing, statistical model fitting, and some understanding of categorical data analysis and matrix algebra.
Frequency Analysis
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Author : R. B. Randall
language : en
Publisher:
Release Date : 1987
Frequency Analysis written by R. B. Randall and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1987 with Fourier analysis categories.
Time Frequency Analysis
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Author : Franz Hlawatsch
language : en
Publisher: John Wiley & Sons
Release Date : 2013-03-01
Time Frequency Analysis written by Franz Hlawatsch and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-01 with Technology & Engineering categories.
Covering a period of about 25 years, during which time-frequency has undergone significant developments, this book is principally addressed to researchers and engineers interested in non-stationary signal analysis and processing. It is written by recognized experts in the field.
Regional Frequency Analysis
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Author : J. R. M. Hosking
language : en
Publisher: Cambridge University Press
Release Date : 1997-04-28
Regional Frequency Analysis written by J. R. M. Hosking and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997-04-28 with Mathematics categories.
This book is the first complete account of the L-moment approach to regional frequency analysis of environmental extremes.
Introduction To Configural Frequency Analysis
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Author : Alexander von Eye
language : en
Publisher: Cambridge University Press
Release Date : 1990-05-25
Introduction To Configural Frequency Analysis written by Alexander von Eye and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1990-05-25 with Psychology categories.
This is a comprehensive introduction to configural frequency analysis, its rationale, and various modifications. When more individuals than expected display a pattern of characteristics, these individuals belong to a type. When fewer individuals than expected display a pattern they belong to an antitype. This book deals with methods that focus on groups of subjects in contingency tables. A many-faceted statistical method, CFA is useful whenever categorical variables are analyzed. The original contribution of this text is the linking of CFA to log-linear modeling and the general linear model, enabling the reader to relate CFA to a well-known statistical background.
Time Frequency Analysis
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Author : Boualem Boashash
language : en
Publisher: Elsevier
Release Date : 2003-10-16
Time Frequency Analysis written by Boualem Boashash and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-10-16 with Technology & Engineering categories.
Time Frequency Signal Analysis and Processing covers fundamental concepts, principles and techniques, treatment of specialised and advanced topics, methods and applications, including results of recent research. This book deals with the modern methodologies, key techniques and concepts that form the core of new technologies used in IT, multimedia, telecommunications as well as most fields of engineering, science and technology. It focuses on advanced techniques and methods that allow a refined extraction and processing of information, allowing efficient and effective decision making that would not be possible with classical techniques. The Author, fellow of IEEE for Pioneering contributions to time-frequency analysis and signal processing education, is an expert in the field, having written over 300 papers on the subject over a period pf 25 years. This is a REAL book, not a mere collection of specialised papers, making it essential reading for researchers and practitioners in the field of signal processing. *The most comprehensive text and reference book published on the subject, all the most up to date research on this subject in one place *Key computer procedures and code are provided to assist the reader with practical implementations and applications *This book brings together the main knowledge of time-frequency signal analysis and processing, (TFSAP), from theory and applications, in a user-friendly reference suitable for both experts and beginners
Practical Time Frequency Analysis
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Author : Rene Carmona
language : en
Publisher: Academic Press
Release Date : 1998-08-27
Practical Time Frequency Analysis written by Rene Carmona and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998-08-27 with Mathematics categories.
Time frequency analysis has been the object of intense research activity in the last decade. This book gives a self-contained account of methods recently introduced to analyze mathematical functions and signals simultaneously in terms of time and frequency variables. The book gives a detailed presentation of the applications of these transforms to signal processing, emphasizing the continuous transforms and their applications to signal analysis problems, including estimation, denoising, detection, and synthesis. To help the reader perform these analyses, Practical Time-Frequency Analysis provides a set of useful tools in the form of a library of S functions, downloadable from the authors' Web sites in the United States and France. Detailed presentation of the Wavelet and Gabor transforms Applications to deterministic and random signal theory Spectral analysis of nonstationary signals and processes Numerous practical examples ranging from speech analysis to underwater acoustics, earthquake engineering, internet traffic, radar signal denoising, medical data interpretation, etc Accompanying software and data sets, freely downloadable from the book's Web page
Vertex Frequency Analysis Of Graph Signals
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Author : Ljubiša Stanković
language : en
Publisher: Springer
Release Date : 2018-12-01
Vertex Frequency Analysis Of Graph Signals written by Ljubiša Stanković and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-12-01 with Technology & Engineering categories.
This book introduces new methods to analyze vertex-varying graph signals. In many real-world scenarios, the data sensing domain is not a regular grid, but a more complex network that consists of sensing points (vertices) and edges (relating the sensing points). Furthermore, sensing geometry or signal properties define the relation among sensed signal points. Even for the data sensed in the well-defined time or space domain, the introduction of new relationships among the sensing points may produce new insights in the analysis and result in more advanced data processing techniques. The data domain, in these cases and discussed in this book, is defined by a graph. Graphs exploit the fundamental relations among the data points. Processing of signals whose sensing domains are defined by graphs resulted in graph data processing as an emerging field in signal processing. Although signal processing techniques for the analysis of time-varying signals are well established, the corresponding graph signal processing equivalent approaches are still in their infancy. This book presents novel approaches to analyze vertex-varying graph signals. The vertex-frequency analysis methods use the Laplacian or adjacency matrix to establish connections between vertex and spectral (frequency) domain in order to analyze local signal behavior where edge connections are used for graph signal localization. The book applies combined concepts from time-frequency and wavelet analyses of classical signal processing to the analysis of graph signals. Covering analytical tools for vertex-varying applications, this book is of interest to researchers and practitioners in engineering, science, neuroscience, genome processing, just to name a few. It is also a valuable resource for postgraduate students and researchers looking to expand their knowledge of the vertex-frequency analysis theory and its applications. The book consists of 15 chapters contributed by 41 leading researches in the field.
Time Frequency Analysis Techniques And Their Applications
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Author : Ram Bilas Pachori
language : en
Publisher: CRC Press
Release Date : 2023-05-09
Time Frequency Analysis Techniques And Their Applications written by Ram Bilas Pachori and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-05-09 with Technology & Engineering categories.
Most of the real-life signals are non-stationary in nature. The examples of such signals include biomedical signals, communication signals, speech, earthquake signals, vibration signals, etc. Time-frequency analysis plays an important role for extracting the meaningful information from these signals. The book presents time-frequency analysis methods together with their various applications. The basic concepts of signals and different ways of representing signals have been provided. The various time-frequency analysis techniques namely, short-time Fourier transform, wavelet transform, quadratic time-frequency transforms, advanced wavelet transforms, and adaptive time-frequency transforms have been explained. The fundamentals related to these methods are included. The various examples have been included in the book to explain the presented concepts effectively. The recently developed time-frequency analysis techniques such as, Fourier-Bessel series expansion-based methods, synchrosqueezed wavelet transform, tunable-Q wavelet transform, iterative eigenvalue decomposition of Hankel matrix, variational mode decomposition, Fourier decomposition method, etc. have been explained in the book. The numerous applications of time-frequency analysis techniques in various research areas have been demonstrated. This book covers basic concepts of signals, time-frequency analysis, and various conventional and advanced time-frequency analysis methods along with their applications. The set of problems included in the book will be helpful to gain an expertise in time-frequency analysis. The material presented in this book will be useful for students, academicians, and researchers to understand the fundamentals and applications related to time-frequency analysis.
