911 pages | 411 B/W Illus.
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:
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.
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