Multirate Statistical Signal Processing

Multirate Statistical Signal Processing introduces a statistical theory for extracting information from related signals with different sampling rates. This new theory generalizes the conventional deterministic theory of multirate systems beyond many of its constraints. Further, it allows for the formulation and solution of new problems: spectrum estimation, time-delay estimation and sensor fusion in the realm of multirate signal processing. This self-contained book presents background material, potential applications and leading-edge research.

Auteur

Omid S. Jahromi, Ph.D., is the Principal Engineer at Authorizer Technologies in Palm Beach Gardens, Florida. He has extensive academic and industrial research experience in the fields of digital signal processing, image processing and biometric identity verification.

Dr. Jahromi has taught several engineering courses at the departments of Electrical and Computer Engineering and Mechanical and Industrial Engineering at the University of Toronto in Toronto, Canada. Since 2004, he has been leading several standardization projects at the American National Standards Institute (ANSI) and the International Organization for Standards (ISO) focusing on the standardization of biometric data interchange formats.

Résumé
The ?eld of multirate signal processing has witnessed a great deal of progress and an increasingly wide range of applications since the publication of the ?rst textbook by Crochiere and Rabiner (1983). However, this progress has been mainly in the area of deterministic systems with emphasis on perfe- reconstruction and/or orthogonal systems. This book introduces a statistical theory for extracting information from signals that have di?erent sampling rates. This new theory generalizes the conventional (deterministic) theory of multirate systems beyond many of its constraints.Furthermore,itallowsfortheformulationofseveralnewproblems such as spectrum estimation, time-delay estimation and sensor fusion in the realm of multirate signal processing. I have arrived at the theory presented here by integrating concepts from diverse areas such as information theory, inverse problems and theory of - equalities. The process of merging a variety of concepts of di?erent origin results in both merits and shortcomings. The former include the fresh and - di?erentiated view of an amateur, providing scope of application. The latter include a lack of in-depth experience in each of the original ?elds. Granted, this may lead to gaps in continuity, however it goes without saying that a complete theory can seldom be achieved by one person and in a short time. My goal in writing this book has been to inspire the reader to initiate his own research and add to the theory of multirate statistical signal processing.

Contenu
Background.- Multirate Spectrum Estimation.- Multirate Signal Estimation.- Multirate Time-Delay Estimation.- Optimal Multirate Decomposition of Signals.- Information in Multirate Systems.- Distributed Algorithms.- Epilogue.