(Ebook) Time Frequency and Time-Scale Methodes by Ros Jay ISBN 9781841122540, 1841122548

(Ebook) Time Frequency and Time-Scale Methodes by Ros Jay ISBN 9781841122540, 1841122548

The goal of the book is to develop a deeper understanding of the roles of time-frequency or Fourier and Gabor analysis, and time-scale or wavelet analysis, when the various tools are properly assembled in a larger context. While researchers at the forefront of developments in time-frequency scale (TFS) analysis are well aware of the benefits of such a unified approach, there remains a gap in the larger community of practitioners concerning precisely the strengths and limitations of Gabor analysis versus wavelets. The book fills this gap by presenting the interface between time-frequency and time-scale methods as a rich area of work.Topics and features:• Addresses new TFS methods and algorithms• Presents an integrated approach to using Fourier/Gabor methods and wavelet methods• Real world applications of Gabor theory, wavelets to PDEs and wavelets to compression• Develops the ideas of phase space and the uncertainty principle focusing on the role of the metaplectic group and the flexibility in constructing analysis tools• Explanations at the end of each chapter address historical context, major developments and new directions.