
- 911 pages
- English
- PDF
- Available on iOS & Android
Transforms and Applications Handbook
About this book
Updating the original, Transforms and Applications Handbook, Third Edition solidifies its place as the complete resource on those mathematical transforms most frequently used by engineers, scientists, and mathematicians. Highlighting the use of transforms and their properties, this latest edition of the bestseller begins with a solid introduction to signals and systems, including properties of the delta function and some classical orthogonal functions.
It then goes on to detail different transforms, including lapped, Mellin, wavelet, and Hartley varieties. Written by top experts, each chapter provides numerous examples and applications that clearly demonstrate the unique purpose and properties of each type. The material is presented in a way that makes it easy for readers from different backgrounds to familiarize themselves with the wide range of transform applications.
Revisiting transforms previously covered, this book adds information on other important ones, including:
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- Finite Hankel, Legendre, Jacobi, Gengenbauer, Laguerre, and Hermite
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- Fraction Fourier
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- Zak
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- Continuous and discrete Chirp-Fourier
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- Multidimensional discrete unitary
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- Hilbert-Huang
Most comparable books cover only a few of the transforms addressed here, making this text by far the most useful for anyone involved in signal processing—including electrical and communication engineers, mathematicians, and any other scientist working in this field.
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Information
Table of contents
- Front cover
- Contents
- Preface to the Third Edition
- Editor
- Contributors
- Chapter 1. Signals and Systems
- Chapter 2. Fourier Transforms
- Chapter 3. Sine and Cosine Transforms
- Chapter 4. Hartley Transform
- Chapter 5. Laplace Transforms
- Chapter 6. Z-Transform
- Chapter 7. Hilbert Transforms
- Chapter 8. Radon and Abel Transforms
- Chapter 9. Hankel Transform
- Chapter 10. Wavelet Transform
- Chapter 11. Finite Hankel Transforms, Legendre Transforms, Jacobi and Gegenbauer Transforms, and Laguerre and Hermite Transforms
- Chapter 12. Mellin Transform
- Chapter 13. Mixed Time-Frequency Signal Transformations
- Chapter 14. Fractional Fourier Transform*
- Chapter 15. Lapped Transforms
- Chapter 16. Zak Transform
- Chapter 17. Discrete Time and Discrete Fourier Transforms
- Chapter 18. Discrete Chirp-Fourier Transform
- Chapter 20. Empirical Mode Decomposition and the Hilbert-Huang Transform
- Appendix A: Functions of a Complex Variable*
- Appendix B: Series and Summations
- Appendix C: Definite Integrals
- Appendix D: Matrices and Determinants
- Appendix E: Vector Analysis
- Appendix F: Algebra Formulas and Coordinate Systems
- Index
- Back cover