Local Eigenfunctions Based Suboptimal Wavelet Packet Representation of Contaminated Chaotic Signals.

Abstract

We report a suboptimal wavelet packet (WP) representation of signals emanating from a chaotic attractor contaminated by low levels of noise. Our method - geared towards choosing a suboptimal scaling function to parsimoniously represent the signal - involves extracting local eigenfunctions using artificial ensembles generated from a psendo-probability space, and using the extracted local eigenfunctions to develop a suboptimal scaling function. The application of our novel representation method to actual acoustic emission (AE) signals from the turning process reveals the superiority of these methods over the existing signal representations.

Open PDF

Document Details

Document Type
Technical Report
Publication Date
Jul 01, 1997
Accession Number
ADA328233

Entities

People

  • A. Lakhtakia
  • Satish T. Bukkapatnam
  • Soundar R. Kumara

Organizations

  • Pennsylvania State University

Tags

Communities of Interest

  • Energy and Power Technologies
  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Abstracts
  • Acoustic Emissions
  • Algebra
  • Applied Mathematics
  • Differential Equations
  • Eigenvectors
  • Emission
  • Engineering
  • Equations
  • Manufacturing Engineering
  • Mathematics
  • Multivariate Analysis
  • Probability
  • Signal Processing
  • Stochastic Processes
  • United States Government
  • Vector Spaces

Readers

  • Adaptive Control and Estimation with Uncertainty in Dynamic Systems.
  • Wave Propagation and Nonlinear Chaotic Dynamics.

Technology Areas

  • Space