Explorations in Time-Frequency Analysis

Explorations in Time-Frequency Analysis PDF

Author: Patrick Flandrin

Publisher: Cambridge University Press

Published: 2018-09-06

Total Pages: 231

ISBN-13: 1108421024

DOWNLOAD EBOOK →

Understand the methods of modern non-stationary signal processing with authoritative insights from a leader in the field.

Time-Frequency Analysis Techniques and their Applications

Time-Frequency Analysis Techniques and their Applications PDF

Author: Ram Bilas Pachori

Publisher: CRC Press

Published: 2023-05-09

Total Pages: 314

ISBN-13: 1000867390

DOWNLOAD EBOOK →

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.

Foundations of Time-Frequency Analysis

Foundations of Time-Frequency Analysis PDF

Author: Karlheinz Gröchenig

Publisher: Springer Science & Business Media

Published: 2013-12-01

Total Pages: 367

ISBN-13: 1461200032

DOWNLOAD EBOOK →

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.

Time-frequency Signal Analysis--methods and Applications

Time-frequency Signal Analysis--methods and Applications PDF

Author: Boualem Boashash

Publisher:

Published: 1992

Total Pages: 570

ISBN-13:

DOWNLOAD EBOOK →

Examines the advances that have occurred in the development of methods for the analysis of non-stationary signals. It covers instantaneous frequency estimation and tracking, algorithms for computer implementation and a range of applications such as radar, sonar, biomedicine and speech.

Theoretical Physics, Wavelets, Analysis, Genomics

Theoretical Physics, Wavelets, Analysis, Genomics PDF

Author: Patrick Flandrin

Publisher: Springer Nature

Published: 2023-05-31

Total Pages: 650

ISBN-13: 3030458474

DOWNLOAD EBOOK →

Over the course of a scientific career spanning more than fifty years, Alex Grossmann (1930-2019) made many important contributions to a wide range of areas including, among others, mathematics, numerical analysis, physics, genetics, and biology. His lasting influence can be seen not only in his research and numerous publications, but also through the relationships he cultivated with his collaborators and students. This edited volume features chapters written by some of these colleagues, as well as researchers whom Grossmann’s work and way of thinking has impacted in a decisive way. Reflecting the diversity of his interests and their interdisciplinary nature, these chapters explore a variety of current topics in quantum mechanics, elementary particles, and theoretical physics; wavelets and mathematical analysis; and genomics and biology. A scientific biography of Grossmann, along with a more personal biography written by his son, serve as an introduction. Also included are the introduction to his PhD thesis and an unpublished paper coauthored by him. Researchers working in any of the fields listed above will find this volume to be an insightful and informative work.

Starting Digital Signal Processing in Telecommunication Engineering

Starting Digital Signal Processing in Telecommunication Engineering PDF

Author: Tomasz P. Zieliński

Publisher: Springer Nature

Published: 2021-01-29

Total Pages: 874

ISBN-13: 3030492567

DOWNLOAD EBOOK →

This hands-on, laboratory driven textbook helps readers understand principles of digital signal processing (DSP) and basics of software-based digital communication, particularly software-defined networks (SDN) and software-defined radio (SDR). In the book only the most important concepts are presented. Each book chapter is an introduction to computer laboratory and is accompanied by complete laboratory exercises and ready-to-go Matlab programs with figures and comments (available at the book webpage and running also in GNU Octave 5.2 with free software packages), showing all or most details of relevant algorithms. Students are tasked to understand programs, modify them, and apply presented concepts to recorded real RF signal or simulated received signals, with modelled transmission condition and hardware imperfections. Teaching is done by showing examples and their modifications to different real-world telecommunication-like applications. The book consists of three parts: introduction to DSP (spectral analysis and digital filtering), introduction to DSP advanced topics (multi-rate, adaptive, model-based and multimedia - speech, audio, video - signal analysis and processing) and introduction to software-defined modern telecommunication systems (SDR technology, analog and digital modulations, single- and multi-carrier systems, channel estimation and correction as well as synchronization issues). Many real signals are processed in the book, in the first part – mainly speech and audio, while in the second part – mainly RF recordings taken from RTL-SDR USB stick and ADALM-PLUTO module, for example captured IQ data of VOR avionics signal, classical FM radio with RDS, digital DAB/DAB+ radio and 4G-LTE digital telephony. Additionally, modelling and simulation of some transmission scenarios are tested in software in the book, in particular TETRA, ADSL and 5G signals.​ Provides an introduction to digital signal processing and software-based digital communication; Presents a transition from digital signal processing to software-defined telecommunication; Features a suite of pedagogical materials including a laboratory test-bed and computer exercises/experiments​​.

Time Frequency Signal Analysis and Processing

Time Frequency Signal Analysis and Processing PDF

Author: Boualem Boashash

Publisher: Elsevier Science Limited

Published: 2003

Total Pages: 743

ISBN-13: 9780080443355

DOWNLOAD EBOOK →

Deals with the methodologies, key techniques and concepts that form the core of technologies used in IT, multimedia, and telecommunications. This book brings together the main knowledge of time-frequency signal analysis and processing, from theory and applications. It is suitable for researchers and practitioners in the field of signal processing.

Time-Frequency Analysis of Operators

Time-Frequency Analysis of Operators PDF

Author: Elena Cordero

Publisher: Walter de Gruyter GmbH & Co KG

Published: 2020-09-21

Total Pages: 458

ISBN-13: 311053245X

DOWNLOAD EBOOK →

This authoritative text studies pseudodifferential and Fourier integral operators in the framework of time-frequency analysis, providing an elementary approach, along with applications to almost diagonalization of such operators and to the sparsity of their Gabor representations. Moreover, Gabor frames and modulation spaces are employed to study dispersive equations such as the Schrödinger, wave, and heat equations and related Strichartz problems. The first part of the book is addressed to non-experts, presenting the basics of time-frequency analysis: short time Fourier transform, Wigner distribution and other representations, function spaces and frames theory, and it can be read independently as a short text-book on this topic from graduate and under-graduate students, or scholars in other disciplines.

Recent Developments in Time-Frequency Analysis

Recent Developments in Time-Frequency Analysis PDF

Author: Leon Cohen

Publisher: Springer Science & Business Media

Published: 2013-03-09

Total Pages: 135

ISBN-13: 1475728387

DOWNLOAD EBOOK →

Recent Developments in Time-Frequency Analysis brings together in one place important contributions and up-to-date research results in this fast moving area. Recent Developments in Time-Frequency Analysis serves as an excellent reference, providing insight into some of the most challenging research issues in the field.

Soil, Plant and Atmosphere

Soil, Plant and Atmosphere PDF

Author: Klaus Reichardt

Publisher: Springer

Published: 2019-08-16

Total Pages: 456

ISBN-13: 3030193225

DOWNLOAD EBOOK →

This textbook presents the concepts and processes involved in the soil-plant-atmosphere system as well as its applications in the water cycle in agriculture. Although reaching the frontier of our knowledge in several subjects, each chapter starts at the graduation level and proceeds to the post-doctoral level. Its more complicated subjects, as math and physics, are well explained, even to readers not well acquainted with these tools. Therefore, it helps students read, understand, and developing their thoughts on these subjects. Instructors also find it an easy book with the needed depth to be adopted in courses related to Soil Physics, Agricultural Management, Environmental Protection, Irrigation and Agrometeorology. It serves also as “lexicon” to engineers and lawyers involved in agricultural, environmental cases.