The new edition of this bestseller updates the original text to offer a complete resource covering those mathematical transforms most frequently used by engineers and scientists. The text begins with a solid introduction to signals and systems, including properties of the delta function along with some classical orthogonal functions. It then goes on to detail each transform chapter by chapter. Written by top experts, each of the chapters provides numerous examples and applications that clearly demonstrate each transform's unique purpose and properties. New to this edition are Fractional Fourier, Multidimensional Discrete Unity, and Hilbert-Huang Transforms.