New Techniques in Signal and Image Processing

Abstract

A multidimensional periodicity detection algorithm is established, and implementation has been made on ECoG data and with broadband and I/f noise. The algorithm requires the characterization of periodic continuous wavelet transforms, and the solution of an optimization problem coupled with an averaging method for mixed-norm spaces. A transition of this technology has been made to Techno-Sciences, Inc. in their NASA supported work for Health Maintenance of jet engines using eddy current sensors. A multidimensional irregular sampling technique is also established, and the corresponding algorithm solves signal reconstruction problems in MRI for sampled spectral data on interleaving spirals related to fast imaging techniques. The tools required are our results from the theory of frames, as well as the Beurling-Landau analysis of balayage.

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Document Details

Document Type
Technical Report
Publication Date
Dec 01, 1999
Accession Number
ADA380026

Entities

People

  • John Benedetto

Organizations

  • University of Maryland

Tags

Communities of Interest

  • Biomedical
  • Sensors

DTIC Thesaurus Topics

  • Algorithms
  • Applied Mathematics
  • Computational Science
  • Detection
  • Detectors
  • Eddy Currents
  • Epilepsy
  • Frequency
  • Image Processing
  • Imaging Techniques
  • Jet Engines
  • Mathematics
  • Optimization
  • Sampling
  • Signal Processing
  • Students
  • Wavelet Transforms

Fields of Study

  • Engineering

Readers

  • Linear Algebra
  • Operations Research
  • Phased Array Antenna Design.

Technology Areas

  • Space