Modern Signal Processing [Hardcover]

A description of the mathematical basis of signal processing, and many areas of application.Signal processing is ubiquitous in modern technology. Itsmathematical basis and many areas of application are the subject ofthis book, based on a series of graduate-level lectures held at theMathematical Sciences Research Institute. Emphasis is on currentchallenges, new techniques adapted to new technologies, and certainrecent advances in algorithms and theory.Signal processing is ubiquitous in modern technology. Itsmathematical basis and many areas of application are the subject ofthis book, based on a series of graduate-level lectures held at theMathematical Sciences Research Institute. Emphasis is on currentchallenges, new techniques adapted to new technologies, and certainrecent advances in algorithms and theory.The mathematical basis of signal processing and its many areas of application is the subject of this book. Based on a series of graduate-level lectures held at the Mathematical Sciences Research Institute, the volume emphasizes current challenges, new techniques adapted to new technologies, and certain recent advances in algorithms and theory.1. Introduction D. Rockmore and D. Healy; 2. Hyperbolic geometry, Nehari's theorem, electric circuits, and analog signal processing J. Allen and D. Healy; 3. Engineering applications of the motion-group Fourier transform G. Chirikjian and Y. Wang; 4. Fast x-ray and beamlet transforms for three-dimensional data D. Donoho and O. Levi; 5. Fourier analysis and phylogenetic trees S. Evans; 6. Diffuse tomography as a source of challenging nonlinear inverse problems for a general class of networks A. Grunbaum; 7. An invitation to matrix-valued spherical functions A. Grunbaum, I. Pacharoni and J. Tirao; 8. Image registration for MRI P. Kostelec and S. Periaswamy; 9. The mathematics of JPEG 2000 Jin Li; 10. Integrated sensing and processing for statistical pattern recognition C. Priebe, D. Marchette and D. Healy; 11. Sampling of functl³e