The effectiveness of using orthonormal transform methods in digital signal processing application was analyzed. (1) Standard tools and analytic measures for comparing the performance of orthonormal transforms under specified as well as partially known statistics are developed for data filtering and coding. (2) Signal uncertainty relations are generalized to cover discrete as well as non-trigonometric transforms. (3) The effectiveness of Fourier and Walsh transforms is compared for radar velocity estimation and target detection. (4) The discrete Fourier transform is proved to be asymptotically performance degradation due to residual cross-correlation among Fourier coefficients are developed for finite N. (5) Necessary and sufficient conditions for two transforms to be asymptotically equivalent are developed and bounds on the worst case performance difference are derived. (Author).

A systematic, unified treatment of orthogonal transform methods that guides the reader from mathematical theory to problem solving in practice.

This book has grown from notes used by the authors to instruct fast transform classes. One class was sponsored by the Training Department of Rockwell International, and another was sponsored by the Department of Electrical Engineering of The University of Texas at Arlington. Some of the material was also used in a short course sponsored by the University of Southern California. The authors are indebted to their students for motivating the writing of this book and for suggestions to improve it.

A systematic, unified treatment of orthogonal transform methods that guides the reader from mathematical theory to problem solving in practice.

Spectral Techniques and Fault Detection focuses on the spectral techniques for the analysis, testing, and design of digital devices. This book discusses the error detection and correction in digital devices. Organized into 10 chapters, this book starts with an overview of the concepts and tools to evaluate the applicability of various spectral approaches and fault-detection techniques to the design. This text then describes the class of generalized Programmable Logic Array configurations called Encoded PLAs. Other chapters consider the two-sided Chrestenson Transform to the analysis of some pattern properties. This book describes as well a certain type of cellular arrays for highly parallel processing, namely, three-dimensional arrays. The final chapter deals with the system design methods that allow and encourage designers to incorporate the necessary distributed error correction throughout any digital system. This book is a valuable resource for graduate students and engineers working in the fields of logic design, spectral techniques, testing, and self-testing of digital devices.