Analysis of the Intrinsic Mode Functions

Abstract

The Empirical Mode Decomposition is a process for signals which produces Intrinsic Mode Functions from which instantaneous frequencies may be extracted by simple application of the Hilbert transform. The beauty of this method to generate redundant representations is in its simplicity and its effectiveness. Our study has two objectives: first, to provide an alternate characterization of the Intrinsic Mode components into which the signal is decomposed and second, to better understand the resulting polar representations, specifically the ones which are produced by the Hilbert transform of these intrinsic modes.

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Document Details

Document Type
Technical Report
Publication Date
Jan 01, 2004
Accession Number
ADA637116

Entities

People

  • Robert C. Sharpley
  • Veseelin Vatchev

Organizations

  • University of South Carolina

Tags

Communities of Interest

  • C4I
  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Analytic Functions
  • Bandwidth
  • Computational Fluid Dynamics
  • Computational Science
  • Computations
  • Decomposition
  • Differential Equations
  • Equations
  • Fourier Analysis
  • Frequency
  • Identities
  • Liouville Equation
  • Mathematical Analysis
  • Periodic Functions
  • Real Variables
  • Signal Processing
  • Theorems

Readers

  • Atmospheric Science / Meteorology, specifically Wind Wave Turbulence.
  • Calculus or Mathematical Analysis
  • Computational Modeling and Simulation