Mastering the Discrete Fourier Transform in One, Two or Several Dimensions Pitfalls and Artifacts /

• Main Author: Amidror, Isaac. (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic
• Language: English
• Published: London : Springer London : Imprint: Springer, 2013.
• Series: Computational Imaging and Vision, 43
• Subjects: Mathematics.; Computational complexity.; Computer science.; Fourier analysis.; Visualization.; Fourier Analysis.; Mathematical Applications in Computer Science.; Discrete Mathematics in Computer Science.; Math Applications in Computer Science.; Mathematics Education.
• Online Access: https://ezaccess.library.uitm.edu.my/login?url=http://dx.doi.org/10.1007/978-1-4471-5167-8

The discrete Fourier transform (DFT) is an extremely useful tool that finds application in many different disciplines. However, its use requires caution. The aim of this book is to explain the DFT and its various artifacts and pitfalls and to show how to avoid these (whenever possible), or at least...

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.