Introduction to Orthogonal Transforms

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.

• Discusses the actual computational implementations as well as the theoretical background of various orthogonal transform methods
• Emphasizes the importance of hands-on skills and problem-solving capabilities with numerous end-of-chapter problems and practical examples
• Supplementary materials are provided online, including Matlab and C code segments and a solutions manual