Tools for Time-Frequency Analysis

Abstract

Together with students and postdocs, the PI has worked on the mathematical aspects and applications of various tools in time frequency or time scale analysis. they have brought a deeper understanding to the geometry of redundant representations (frames), and shown the usefulness of frames for multiple description transmission, designed to withstand partial loss of information if some of the channels fail. They have also worked on subdivision schemes for non-uniform data, which can be used to provide efficient data compression for irregularly spaced data which are a superposition of fairly smooth signals with transients. Finally, they have obtained results on several reallocation schemes, aimed at extracting different components from complex signals, without too much pollution from the analyzing tool.

Open PDF

Document Details

Document Type
Technical Report
Publication Date
Dec 01, 1997
Accession Number
ADA337887

Entities

People

  • Ingrid Daubechies

Organizations

  • Princeton University

Tags

Communities of Interest

  • Human Systems

DTIC Thesaurus Topics

  • Air Force
  • Auditory Nerve
  • Civil Engineering
  • Compression
  • Computer Science
  • Computing-Related Activities
  • Data Compression
  • Electrical Engineering
  • Engineering
  • Fourier Analysis
  • Frequency
  • Harmonic Analysis
  • Image Compression
  • Mathematics
  • Students
  • Wavelet Transforms

Fields of Study

  • Engineering

Readers

  • Approximation Theory.
  • Computational Modeling and Simulation
  • Image Processing and Computer Vision.

Technology Areas

  • Space