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Explorations in Time-Frequency Analysis

Patrick Flandrin 2018

An authoritative exposition of the methods at the heart of modern non-stationary signal processing from a recognised leader in the field. Offering a global view that favours interpretations and historical perspectives, it explores the basic concepts of time-frequency analysis, and examines the most recent results and developments in the field in the context of existing, lesser-known approaches. Several example waveform families from bioacoustics, mathematics and physics are examined in...


Wavelets: A Student Guide (Australian Mathematical Society Lecture Series)

Peter Nickolas 2017

This text offers an excellent introduction to the mathematical theory of wavelets for senior undergraduate students. Despite the fact that this theory is intrinsically advanced, the author's elementary approach makes it accessible at the undergraduate level. Beginning with thorough accounts of inner product spaces and Hilbert spaces, the book then shifts its focus to wavelets specifically, starting with the Haar wavelet, broadening to wavelets in general, and culminating in the construction...


The Illustrated Wavelet Transform Handbook: Introductory Theory and Applications in Science, Engineering, Medicine and F

Paul S. Addison 2016

This second edition of The Illustrated Wavelet Transform Handbook: Introductory Theory and Applications in Science, Engineering, Medicine and Finance has been fully updated and revised to reflect recent developments in the theory and practical applications of wavelet transform methods.

The book is designed specifically for the applied reader in science, engineering, medicine and finance. Newcomers to the subject will find an accessible and clear account of the theory of continuous and...


Discrete Fourier and Wavelet Transforms: An Introduction Through Linear Algebra with Applications to Signal Processing

Roe W Goodman 2016

"This book is suitable as a textbook for an introductory undergraduate mathematics course on discrete Fourier and wavelet transforms for students with background in calculus and linear algebra. The particular strength of this book is its accessibility to students with no background in analysis. The exercises and computer explorations provide the reader with many opportunities for active learning. Studying from this text will also help students strengthen their background in linear algebra."...


Discrete Wavelet Transform: A Signal Processing Approach

Duraisamy Sundararajan 2016

Provides easy learning and understanding of DWT from a signal processing point of view

  • Presents DWT from a digital signal processing point of view, in contrast to the usual mathematical approach, making it highly accessible
  • Offers a comprehensive coverage of related topics, including convolution and correlation, Fourier transform, FIR filter, orthogonal and biorthogonal filters
  • Organized systematically, starting from the fundamentals of signal processing to the more advanced topics of DWT...


Sparse Image and Signal Processing: Wavelets and Related Geometric Multiscale Analysis

Jean-Luc Starck 2015

This thoroughly updated new edition presents state of the art sparse and multiscale image and signal processing. It covers linear multiscale geometric transforms, such as wavelet, ridgelet, or curvelet transforms, and non-linear multiscale transforms based on the median and mathematical morphology operators. Along with an up-to-the-minute description of required computation, it covers the latest results in inverse problem solving and regularization, sparse signal decomposition, blind source...


Sampling Theory, a Renaissance: Compressive Sensing and Other Developments (Applied and Numerical Harmonic Analysis)

2015

Reconstructing or approximating objects from seemingly incomplete information is a frequent challenge in mathematics, science, and engineering. A multitude of tools designed to recover hidden information are based on Shannon’s classical sampling theorem, a central pillar of Sampling Theory. The growing need to efficiently obtain precise and tailored digital representations of complex objects and phenomena requires the maturation of available tools in Sampling Theory as well as the...


An Introduction to Laplace Transforms and Fourier Series (Springer Undergraduate Mathematics Series)

Phil Dyke 2014

In this book, there is a strong emphasis on application with the necessary mathematical grounding. There are plenty of worked examples with all solutions provided. This enlarged new edition includes generalised Fourier series and a completely new chapter on wavelets.

Only knowledge of elementary trigonometry and calculus are required as prerequisites. An Introduction to Laplace Transforms and Fourier Series will be useful for second and third year undergraduate students in engineering,...


Foundations of Signal Processing

Martin Vetterli 2014

This comprehensive and engaging textbook introduces the basic principles and techniques of signal processing, from the fundamental ideas of signals and systems theory to real-world applications. Students are introduced to the powerful foundations of modern signal processing, including the basic geometry of Hilbert space, the mathematics of Fourier transforms, and essentials of sampling, interpolation, approximation and compression The authors discuss real-world issues and hurdles to using...


Electronic Warfare & Radar Systems Engineering Handbook

Naval Air Warfare Center Weapons Division 2013

Contents Mathematical Notation . Frequency Spectrum. Decibel (dB). Duty Cycle . Doppler Shift . Electronic Formulas . Missile and Electronic Equipment Designations. Radar Horizon / Line of Sight . Propagation Time / Resolution . Modulation. Transforms / Wavelets. Antennas- Antenna Introduction / Basics . Polarization. Radiation Patterns. Frequency / Phase Effects of Antennas . Antenna Near Field. Radiation Hazards. Active Electronically Scanned Arrays (Aesa) . Radar Equations Field Intensity...