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Transforms and Applications Handbook, Third Edition by Alexander D. Poularikas — book cover

Transforms and Applications Handbook, Third Edition

by Alexander D. Poularikas
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Overview

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.

"...brings together the most important mathematical transforms frequently used by engineers & scientists...this 2nd edition contains all updated material, all errate revised & valuable new material added."

Synopsis

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.

Booknews

New edition of a handbook that brings together the most important, useful mathematical transforms frequently used by engineers and scientists. Poularikas (electrical and computer engineering, U. of Alabama) presents 15 contributions that cover Fournier, sine and cosine, Hartley, Laplace, Hilbert, Radon and Abel, Hankel, wavelet, Mellin, fractional Fourier, lapped, and discrete time, and discrete Fourier transforms, as well as signals and systems, the Z-transform, and mixed time-frequency signal transformations. Annotation c. Book News, Inc., Portland, OR (booknews.com)

About the Author, Alexander D. Poularikas

ALEXANDER D. POULARIKAS, University of Alabama, Huntsville, Alabama

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Editorials

Booknews

New edition of a handbook that brings together the most important, useful mathematical transforms frequently used by engineers and scientists. Poularikas (electrical and computer engineering, U. of Alabama) presents 15 contributions that cover Fournier, sine and cosine, Hartley, Laplace, Hilbert, Radon and Abel, Hankel, wavelet, Mellin, fractional Fourier, lapped, and discrete time, and discrete Fourier transforms, as well as signals and systems, the Z-transform, and mixed time-frequency signal transformations. Annotation c. Book News, Inc., Portland, OR (booknews.com)

Book Details

Published
January 1, 2010
Publisher
CRC Press
Pages
911
Format
Hardcover
ISBN
9781420066524

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