Search our site
Out of the Blue by Sophie Cameron Read the opening extract of the brand new Sophie Cameron book before its publication on 22/03/2018

Time-Frequency and Time-Scale Methods Adaptive Decompositions, Uncertainty Principles, and Sampling by Jeffrey A. Hogan

Time-Frequency and Time-Scale Methods Adaptive Decompositions, Uncertainty Principles, and Sampling

Part of the Applied and Numerical Harmonic Analysis Series


Time-Frequency and Time-Scale Methods Adaptive Decompositions, Uncertainty Principles, and Sampling by Jeffrey A. Hogan

Developed in this book are several deep connections between time-frequency (Fourier/Gabor) analysis and time-scale (wavelet) analysis, emphasizing the powerful adaptive methods that emerge when separate techniques from each area are properly assembled in a larger context. While researchers at the forefront of these areas are well aware of the benefits of such a unified approach, there remains a knowledge gap in the larger community of practitioners about the precise strengths and limitations of Fourier/Gabor analysis versus wavelets. This book fills that gap by presenting the interface of time-frequency and time-scale methods as a rich area of work. Foundations of Time-Frequency and Time-Scale Methods will be suitable for applied mathematicians and engineers in signal/image processing and communication theory, as well as researchers and students in mathematical analysis, signal analysis, and mathematical physics.


[The] book under review is written from a relatively novel perspective: its goal is to carefully and deeply study the similarities and differences between time-frequency and time-scale methods. Thus, one may view the present book as a continuation of the famous textbook of Ingrid Daubechies [Ten Lectures on Wavelets].... In my opinion, the two books nicely complement each other and both are a 'must have
for everyone who is interested in a deeper understanding of time

-frequency and time-scale methods.

-Zentralblatt MATH

[This book] covers an enormous range in time-frequency analysis and time-scale analysis.... [It] is about methods and ideas. The main goal is to motivate, discuss, and describe important results and new developments in time-frequency and time-scale analysis. Full proofs are rarely given, but insightful sketches of proofs or at least descriptions of the underlying ideas are given for most results. This style makes it possible to cover an enormous amount of material, and indeed the book reviews the main results of (an estimated) 200 articles in some detail.

...The resulting book is like a gigantic mosaic. Each facet describes an interesting result. While neighboring facets are not necessarily related in any formal way, the entire mosaic, when viewed from a distance, displays a coherent and magnificent picture, the picture of time-frequency and time-scale analysis. The book is a great resource for experts to obtain an overview of the field and its literature. It is also recommended for advanced graduate students who want to escape their specialization and expand their horizons to a broader view of their field.

-Bulletin of the AMS

This book is about time-frequency and time-scale analyses, two topics that are historically and conceptually related.... Unlike many similar research monographs, which focus on the authors
own research, this book includes other researchers

work and covers a wide spectrum of topics, some in meticulous detail
.... Because of the wide array of results presented in the book, I would recommend it to experts who work in the area; some parts of it might also be useful for advanced graduate students.

-Mathematical Reviews

About the Author

Loading other formats...

Book Info

Publication date

1st December 2004


Jeffrey A. Hogan

More books by Jeffrey A. Hogan
Author 'Like for Like'


Birkhauser Boston Inc


390 pages


Calculus & mathematical analysis



You'll always find what you never knew you were looking for and you're always spoilt for choice.

Helen Jones

Lovereading tells me about new books before they hit the shelves, lets me find other authors I may like and has great prize draws!

Sheila Dale

The best new books on the market, reviewed honestly, to give your readers the best choices.

Julie Cook

You can trust Lovereading to show unbiased reviews by actual, ordinary readers that help likeminded booklovers choose their next great read.

Linda Hill

A well laid out site, I love the fact that is separates paranormal fiction from fantasy and horror, which other sites don't.

Jen Rainbow

At Lovereading there are fabulous books available in every genre, with great reviews to help you pick the right book for you.

Teresa O'Halloran

The books for review are always great reads, brilliantly written, and introduces me to a huge variety of, established and new, authors.

Lesley Hart

Thanks to Lovereading I have discovered new writers and read books I would never had looked twice at - and enjoyed them.

Angela Rhodes