A new twist to Fourier transforms
Making use of the inherent helix in the Fourier transform expression, this book illustrates both Fourier transforms and their properties in the round. The author draws on elementary complex algebra to manipulate the transforms, presenting the ideas in such a way as to avoid pages of complicated math...
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Published: |
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Literature type: | Electronic eBook |
Language: | English |
Subjects: | |
Online Access: |
http://onlinelibrary.wiley.com/book/10.1002/9783527618569 |
Summary: |
Making use of the inherent helix in the Fourier transform expression, this book illustrates both Fourier transforms and their properties in the round. The author draws on elementary complex algebra to manipulate the transforms, presenting the ideas in such a way as to avoid pages of complicated mathematics. Similarly, abbreviations are not used throughout and the language is kept deliberately clear so that the result is a text that is accessible to a much wider readership. The treatment is extended with the use of sampled data to finite and discrete transforms, the fast Fourier transform, or |
Carrier Form: | 1 online resource (xviii, 220 pages) : illustrations |
Bibliography: | Includes bibliographical references and index. |
ISBN: |
9783527618569 3527618562 9783527618576 3527618570 |
Index Number: | QA404 |
CLC: | O174.22 |
Contents: | A New Twist to Fourier Transforms; Table of Contents; Introduction; Conventions; Symbols; 1 The Fourier Transform and the Helix; 2 Spiral and Helical Functions; 3 Fourier Transforms; 4 Continuous, Finite, and Discrete Fourier Transforms; 5 Tapering Functions; 6 Fourier Transforms in Statistics; 7 Noise and Pseudo-random Signals; Appendix A; Appendix B; Index. |