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.
Author(s): Daniel N. Rockmore, Dennis M. Healy Jr
Series: Mathematical Sciences Research Institute publications 46
Publisher: Cambridge University Press
Year: 2004
Language: English
Commentary: 77397
Pages: 346
City: Cambridge, UK :, New York
Front Matter......Page 1
Contents......Page 7
Hyperbolic Geometry, Nehari’s Theorem,
Electric Circuits, and Analog Signal Processing......Page 9
Engineering Applications of the Motion-Group
Fourier Transform......Page 71
Fast X-Ray and Beamlet Transforms for
Three-Dimensional Data......Page 86
Fourier Analysis and Phylogenetic Trees......Page 124
Diffuse Tomography as a Source of Challenging
Nonlinear Inverse Problems for a General Class
of Networks......Page 144
An Invitation to Matrix-Valued Spherical
Functions: Linearization of Products in the Case
of Complex Projective Space P2(C)......Page 154
Image Registration for MRI......Page 168
Image Compression:
The Mathematics of JPEG 2000......Page 192
Integrated Sensing and Processing
for Statistical Pattern Recognition......Page 229
Sampling of Functions and Sections
for Compact Groups......Page 253
The Cooley–Tukey FFT and Group Theory......Page 287
Signal Processing in Optical Fibers......Page 307
The Generalized Spike Process, Sparsity, and
Statistical Independence......Page 323
