New Theory and Algorithms for Compressive Sensing

Abstract

In this project we expanded the field of compressive sensing in both theoretical and practical ways. We first demonstrated the information scalability of CS. We applied CS principles to analog-to-digital conversion, showing ADC can be accomplished on structured high rate signals with sub-Nyquist sampling. We introduced a smashed filter to perform statistical classification problems with a rate of measurements that corresponds to the problem structure, rather than bandwidth. Second, we improved on previous work in distributed compressive sensing. We used graphical models to derive performance bounds on multi-sensor settings. Finally, we created a CS-based radar framework and applied it to both 1-D ranging and 2-D synthetic aperture problems.

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Document Details

Document Type
Technical Report
Publication Date
Mar 06, 2009
Accession Number
ADA494851

Entities

People

  • Richard G. Baraniuk

Organizations

  • Rice University

Tags

Communities of Interest

  • Energy and Power Technologies
  • Materials and Manufacturing Processes
  • Sensors

DTIC Thesaurus Topics

  • Algorithms
  • Classification
  • Coding
  • Compressed Sensing
  • Conversion
  • Detectors
  • Dimensionality Reduction
  • Information Processing
  • Information Theory
  • Linear Programming
  • Measurement
  • Processing Equipment
  • Radar
  • Signal Processing
  • Synthetic Aperture Radar
  • Three Dimensional
  • Two Dimensional

Readers

  • Distributed Systems and Data Platform Development
  • Image Processing and Computer Vision.
  • Operations Research