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A systematic, unified treatment of orthogonal transform methods for signal processing, data analysis and communications, this book guides the reader from mathematical theory to problem solving in practice. It examines each transform method in depth, emphasizing the common mathematical principles and essential properties of each method in terms of signal decorrelation and energy compaction. The different forms of Fourier transform, as well as the Laplace, Z-, Walsh-Hadamard, Slant, Haar, Karhunen-Loève and wavelet transforms, are all covered, with discussion of how each transform method can be applied to real-world experimental problems. Numerous practical examples and end-of-chapter problems, supported by online Matlab and C code and an instructor-only solutions manual, make this an ideal resource for students and practitioners alike.

Functions, Orthogonal. --- Orthogonal polynomials. --- Orthogonal arrays. --- Orthogonalization methods. --- Functions, Orthogonal family of --- Functions, Orthogonal set of --- Orthogonal family of functions --- Orthogonal set of functions --- Orthogonal sets --- Orthogonal systems --- Orthogonalization (Numerical analysis) --- Sets, Orthogonal --- Systems, Orthogonal --- Algebras, Linear --- Numerical analysis --- Arrays, Orthogonal --- Combinatorial designs and configurations --- Fourier analysis --- Functions, Orthogonal --- Polynomials --- Orthogonal functions --- Series, Orthogonal