The Fourier Transform & Its Applications
This text is designed for use in a senior undergraduate or graduate level course in Fourier Transforms. This text differs from many other fourier transform books in its emphasis on applications. Bracewell applies mathematical concepts to the physical world throughout this text, equipping students to think about the world and physics in terms of transforms. The pedagogy in this classic text is excellent. The author has included such tools as the pictorial dictionary of transforms and...
Who Is Fourier?: A Mathematical Adventure
In Who is Fourier? A Mathematical Adventure, the student authors take the reader along on their adventure of discovery of Fourier's wave analysis, creating a work that gradually moves from basics to the more complicated mathematics of trigonometry, exponentiation, differentiation, and integration. This is done in a way that is not only easy to understand, but is actually fun! Professors and engineers, with high school and college students following closely, comprise the largest percentage of...
Mathematics of the Discrete Fourier Transform (DFT): with Audio Applications ---- Second Edition
Detailed derivation of the Discrete Fourier Transform (DFT) and its associated mathematics, including elementary audio signal processing applications and matlab programming examples.
The Fast Fourier Transform: An Introduction to Its Theory and Application
Here is a new book that identifies and interprets the essential basics of the Fast Fourier Transform (FFT). It links in a unified presentation the Fourier transform, discrete Fourier transform, FFT, and fundamental applications of the FFT. The FFT is becoming a primary analytical tool in such diverse fields as linear systems, optics, probability theory, quantum physics, antennas, and signal analysis, but there has always been a problem of communicating its fundamentals. Thus the aim of this...
Understanding the FFT, Second Edition, Revised
Citrus Press is proud to announce the second edition (revised) of Andy Zonst's Understanding the FFT (publication date April 2000). This edition is much more than just a "cleanup" of the original text - two completely new chapters have been added. The first of these deals with the conventional FFT (i.e., scrambled data and bit reversal) and the second is an introduction to the mathematical procedure known as convolution. The conventional FFT offers certain advantages (primarily more...
Understanding FFT Applications, Second Edition
This companion volume to Andy Zonst's Understanding the FFT is written in five parts, covering a range of topics from transient circuit analysis to two dimensional transforms. It's an introducton to some of the many applicatons of the FFT, and it's intended for anyone who wants to understand and explore this technology.
The presentation is unique in that it avoids the calculus almost (but not quite) completely. It's a practical "how-to" book, but it also provides down to earth...
Discrete Cosine Transform : Algorithms, Advantages, Applications
This is the first comprehensive treatment of the theoretical aspects of the discrete cosine transform (DCT), which is being recommended by various standards organizations, such as the CCITT, ISO etc., as the primary compression tool in digital image coding. The main purpose of the book is to provide a complete source for the user of this signal processing tool, where both the basics and the applications are detailed. An extensive bibliography covers both the theory and applications of the...
The Discrete Fourier Transform: Theory, Algorithms and Applications
This book provides comprehensive coverage of practical Fourier analysis. It develops the concepts right from the basics and gradually guides the reader to the advanced topics. It presents the latest and practically efficient DFT algorithms, as well as the computation of discrete cosine and Walsh-Hadamard transforms. The large numbers of visual aids such as figures, flow graphs and flow charts makes the mathematical topic easy to understand. In addition, the numerous examples and the set of...
The Fractional Fourier Transform: with Applications in Optics and Signal Process
The discovery of the Fractional Fourier Transform and its role in optics and data management provides an elegant mathematical framework within which to discuss diffraction and other fundamental aspects of optical systems. This book explains how the fractional Fourier transform has allowed the generalization of the Fourier transform and the notion of the frequency transform. It will serve as the standard reference on Fourier transforms for many years to come.
A Student's Guide to Fourier Transforms: With Applications in Physics and Engineering
This new edition of a successful textbook for undergraduate students in physics, computer science and electrical engineering describes important contemporary ideas in practical science and information technology at an understandable level, illustrated with worked examples and copious diagrams. The field is covered broadly rather than in depth, and includes references to more extended works on various topics. This new edition is slightly expanded, and includes additional new material in the...
Mathematics of the Discrete Fourier Transform (DFT): with Audio Applications ---- Second Edition
Detailed derivation of the Discrete Fourier Transform (DFT) and its associated mathematics, including elementary audio signal processing applications and matlab programming examples.
Transforms and Fast Algorithms for Signal Analysis and Representations
This book is a comprehensive presentation of recent results and developments on several widely used transforms and their fast algorithms. In many cases, new options are provided for improved or new fast algorithms, some of which are not well known in the digital signal processing community. The book is suitable as a textbook for senior undergraduate and graduate courses in digital signal processing. It may also serve as an excellent self-study reference for electrical engineers and applied...
Understanding FFT Applications, Second Edition
This companion volume to Andy Zonst's Understanding the FFT is written in five parts, covering a range of topics from transient circuit analysis to two dimensional transforms. It's an introducton to some of the many applicatons of the FFT, and it's intended for anyone who wants to understand and explore this technology.
The presentation is unique in that it avoids the calculus almost (but not quite) completely. It's a practical "how-to" book, but it also provides down to earth...
A Student's Guide to Fourier Transforms: With Applications in Physics and Engineering
This new edition of a successful textbook for undergraduate students in physics, computer science and electrical engineering describes important contemporary ideas in practical science and information technology at an understandable level, illustrated with worked examples and copious diagrams. The field is covered broadly rather than in depth, and includes references to more extended works on various topics. This new edition is slightly expanded, and includes additional new material in the...
The Discrete Fourier Transform: Theory, Algorithms and Applications
This book provides comprehensive coverage of practical Fourier analysis. It develops the concepts right from the basics and gradually guides the reader to the advanced topics. It presents the latest and practically efficient DFT algorithms, as well as the computation of discrete cosine and Walsh-Hadamard transforms. The large numbers of visual aids such as figures, flow graphs and flow charts makes the mathematical topic easy to understand. In addition, the numerous examples and the set of...
The Fractional Fourier Transform: with Applications in Optics and Signal Process
The discovery of the Fractional Fourier Transform and its role in optics and data management provides an elegant mathematical framework within which to discuss diffraction and other fundamental aspects of optical systems. This book explains how the fractional Fourier transform has allowed the generalization of the Fourier transform and the notion of the frequency transform. It will serve as the standard reference on Fourier transforms for many years to come.
Understanding the FFT, Second Edition, Revised
Citrus Press is proud to announce the second edition (revised) of Andy Zonst's Understanding the FFT (publication date April 2000). This edition is much more than just a "cleanup" of the original text - two completely new chapters have been added. The first of these deals with the conventional FFT (i.e., scrambled data and bit reversal) and the second is an introduction to the mathematical procedure known as convolution. The conventional FFT offers certain advantages (primarily more...
The Fourier Transform & Its Applications
This text is designed for use in a senior undergraduate or graduate level course in Fourier Transforms. This text differs from many other fourier transform books in its emphasis on applications. Bracewell applies mathematical concepts to the physical world throughout this text, equipping students to think about the world and physics in terms of transforms. The pedagogy in this classic text is excellent. The author has included such tools as the pictorial dictionary of transforms and...
Who Is Fourier?: A Mathematical Adventure
In Who is Fourier? A Mathematical Adventure, the student authors take the reader along on their adventure of discovery of Fourier's wave analysis, creating a work that gradually moves from basics to the more complicated mathematics of trigonometry, exponentiation, differentiation, and integration. This is done in a way that is not only easy to understand, but is actually fun! Professors and engineers, with high school and college students following closely, comprise the largest percentage of...
Discrete Cosine Transform : Algorithms, Advantages, Applications
This is the first comprehensive treatment of the theoretical aspects of the discrete cosine transform (DCT), which is being recommended by various standards organizations, such as the CCITT, ISO etc., as the primary compression tool in digital image coding. The main purpose of the book is to provide a complete source for the user of this signal processing tool, where both the basics and the applications are detailed. An extensive bibliography covers both the theory and applications of the...
