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Mastering the Discrete Fourier Transform in One, Two or Several Dimensions

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Table of Contents

Introduction.- Background and basic notions.- Data reorganizations for the DFT and the IDFT.- True units along the axes when plotting the DFT.- Issues related to aliasing.- Issues related to leakage.- Issues related to resolution and range.- Miscellaneous issues.- Appendices.


From the book reviews: "This book is about the discrete Fourier transform and its practical limitations, pitfalls and artifacts. It is addressed to a wide audience in various scientific and engineering branches, and because of that an intuitive approach supported by mathematics is preferred over a rigorous mathematical treatment." (Biljana Jolevska-Tuneska, Mathematical Reviews, May, 2014) "This book is for readers who have already taken an introductory course in the theory of discrete and continuous Fourier transforms, and now want to use their new knowledge in various science or engineering fields. ... Amidror (Swiss Federal Institute of Technology in Lausanne) illustrates some of the most frequent mistakes using several hundred figures, which are a central part of the book's approach. ... it may be useful for professional audiences. Summing Up: Recommended. Professionals/practitioners." (M. Bona, Choice, Vol. 51 (9), May, 2014) "The current book aims to explain the DFT and the various ways one can get into trouble with it. More importantly, it also suggests how to avoid the pitfalls or recognize them and escape any consequent misinterpretation. ... it would be useful resource for practitioners and a valuable addition to libraries. It has a good bibliography and a very nice glossary of signal and image processing terms." (William J. Satzer, MAA Reviews, April, 2014) "The aim of this textbook is to explain the various artifacts and pitfalls of the DFT. ... This book is mainly written for people with a basic knowledge of DFT, but are not sufficiently familiar with practical limitations and artifacts of DFT. ... The textbook is written in a very informal style and contains numerous examples, figures, and tables. Without any doubt, this book will be a valuable source of information for a wide range of DFT users." (Manfred Tasche, zbMATH, Vol. 1277, 2014)

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