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The third edition of Transforms and Applications Handbook follows a similar approach to that of the second edition. The new edition builds upon the previous one by presenting additional important transforms valuable to engineers and scientists. Numerous examples and different types of applications are included in each chapter so that readers from different backgrounds will have the opportunity to become familiar with a wide spectrum of applications of these transforms. In this edition, we have added the some important transforms (Finite Hankel transforms, Legendre transforms, Jacobi and Gegenbauer transforms, and Laguerre and Hermite transforms, Fraction Fourier transforms, Zak transforms, Continuous and discrete Chirp–Fourier transforms, Multidimensional discrete unitary transforms, Hilbert–Huang transforms)
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:
Functions of a Complex Variable
Series and Summations
Definite Integrals
Matrices and Determinants
Vector Analysis
Algebra Formulas and Coordinate Systems