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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.
Table of Contents
Hyperbolic geometry, Nehari's theorem, electric circuits, and analog signal processing
Engineering applications of the motion-group Fourier transform
Fast x-ray and beamlet transforms for three-dimensional data
Fourier analysis and phylogenetic trees
Diffuse tomography as a source of challenging nonlinear inverse problems for a general class of networks
An invitation to matrix-valued spherical functions
Image registration for MRI
The mathematics of JPEG 2000
Integrated sensing and processing for statistical pattern recognition
Sampling of functions and sections for compact groups
The Cooley-Tukey FFT and group theory
Mathematical challenges for optical communications
The generalized spike process, sparsity and statistical independence
Table of Contents provided by Publisher. All Rights Reserved.