[内容简介]

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.

[目录]

Introduction
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
Image compression : 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
Signal processing in optic fibers|
The generalized spike process, sparsity, and statistical independence