Modern Signal Processing

Front Cover
Rockmore, Daniel Nahum Rockmore, Daniel N. Rockmore, Dennis M. Healy, Jr, Healy, Jr. (Dennis M.)
Cambridge University Press, Apr 5, 2004 - Computers - 340 pages
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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Contents

Engineering Applications of the MotionGroup Fourier Transform
63
Fast XRay and Beamlet Transforms for ThreeDimensional Data
79
Fourier Analysis and Phylogenetic Trees
117
Diffuse Tomography as a Source of Challenging Nonlinear Inverse
137
An Invitation to Matrixvalued Spherical Functions
147
Image Registration for MRI
161
The Mathematics of JPEG 2000
185
Integrated Sensing and Processing for Statistical Pattern Recognition
223
Sampling of Functions and Sections for Compact Groups
247
The CooleyTukey FFT and Group Theory
281
Signal Processing in Optic Fibers
301
The Generalized Spike Process Sparsity and Statistical Independence
317
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References to this book

Beyond Wavelets
Grant Welland
Limited preview - 2003