Transforms and Applications Handbook: 3rd Edition (Hardback) book cover

Transforms and Applications Handbook

3rd Edition

Edited by Alexander D. Poularikas

CRC Press

911 pages | 411 B/W Illus.

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pub: 2010-01-19
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Description

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:

  • Finite Hankel, Legendre, Jacobi, Gengenbauer, Laguerre, and Hermite
  • Fraction Fourier
  • Zak
  • Continuous and discrete Chirp-Fourier
  • Multidimensional discrete unitary
  • 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.

Table of Contents

Signals and Systems, A.D. Poularikas

Fourier Transforms, K.B. Howell

Sine and Cosine Transform, P. Yip

Hartley Transform, K.J. Olejniczak

Laplace Transforms, A.D. Poularikas and S. Seely

Z-Transform, A.D. Poularikas

Hilbert Transforms, S.L. Hahn

Radon and Abel Transforms, S.R. Deans

Hankel Transform, R. Piessens

Wavelet Transform, Y. Sheng

Finite Hankel Transforms, Legendre Transforms, Jacobi and Gegenbauer Transforms,

and Laguerre and Hermite Transforms, L. Debnath

Mellin Transform, J. Bertrand, P. Bertrand, and J.-P. Ovarlez

Mixed Time–Frequency Signal Transformations, G. F. Boudreaux-Bartels

Fractional Fourier Transform, H.M. Ozaktas, M. Alper Kutay, and Ç. Candan

Lapped Transforms, R.L. de Queiroz

Zak Transform, M.E. Oxley and B.W. Suter

Discrete Time and Discrete Fourier Transforms, A.D. Poularikas

Discrete Chirp–Fourier Transform, X.-G. Xia

Multidimensional Discrete Unitary Transforms, A.M. Grigoryan

Empirical Mode Decomposition and the Hilbert–Huang Transform, A. Ayenu-Prah, N. Attoh-Okine, and N.E. Huang

Appendices

Index

About the Author/Editor

Alexander D. Poularikas received his Ph.D from the University of Arkansas, Fayetteville, Arkansas, and became a professor at the University of Rhode Island, Kingston, Rhode Island. He became the chairman of the engineering department at the University of Denver, Denver, Colorado, and then became the chairman of the electrical and computer engineering department at the University of Alabama in Huntsville, Huntsville, Alabama. Dr. Poularikas has published seven books and has edited two. He has served as the editor in chief of the Signal Processing series (1993–1997) with Artech House, and is now the editor in chief of the Electrical Engineering and Applied Signal Processing series as well as the Engineering and Science Primer series (1998 to present) with Taylor & Francis. He is a Fulbright scholar, a lifelong senior member of the IEEE, and a member of Tau Beta Pi, Sigma Nu, and Sigma Pi. In 1990 and in 1996, he received the Outstanding Educators Award of the IEEE, Huntsville Section. He is now a professor emeritus at the University of Alabama in Huntsville.

About the Series

Electrical Engineering Handbook

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Subject Categories

BISAC Subject Codes/Headings:
MAT003000
MATHEMATICS / Applied
TEC007000
TECHNOLOGY & ENGINEERING / Electrical