Description
This book is about modern signal processing and its mathematical basis. It is aimed at graduate students in the Mathematical Sciences Research Institute, and covers topics such as challenges in the subject, techniques adapted to particular technologies, and advances in algorithms and theory. The book is divided into two main sections: computational harmonic analysis, which is aimed at efficiently analysing real data using inherent symmetries, and the challenges inherent in the acquisition, processing and analysis of images and sensing data in general.
Signal processing is everywhere in modern technology. Its mathematical basis and many areas of application are the subject of this book, based on a series of graduate-level lectures held at the Mathematical Sciences Research Institute. Emphasis is on challenges in the subject, particular techniques adapted to particular technologies, and certain advances in algorithms and theory. The book covers two main areas: computational harmonic analysis, envisioned as a technology for efficiently analysing real data using inherent symmetries; and the challenges inherent in the acquisition, processing and analysis of images and sensing data in general [EMDASH] ranging from sonar on a submarine to a neuroscientist's fMRI study.
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