On Resonance Extraction and Waveform Fitting for Transient Data; Prony's Method

Abstract

This report explains the basic philosophy and mathematics of waveform fitting with complex exponentials, when the available data points are more than the number needed for a perfect fit. The connection with Prony's method is developed, some recent new work by Auton and Van Blaricum is summarized, and an eigenvector generalization of linear prediction is presented. Effort is still continuing in this important field of resonance estimation and extraction, and answers to some important questions on sensitivity, sampling rate, and bias are still not available.

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Document Details

Document Type
Technical Report
Publication Date
Mar 09, 1982
Accession Number
ADA112378

Entities

People

  • Albert H. Nuttall

Organizations

  • Naval Underwater Systems Center

Tags

Communities of Interest

  • Biomedical

DTIC Thesaurus Topics

  • Acoustic Signals
  • Acquisition
  • Coefficients
  • Concept 1
  • Data Processing
  • Difference Equations
  • Eigenvalues
  • Eigenvectors
  • Equations
  • Extraction
  • Mathematics
  • Polynomials
  • Resonance
  • Resonant Frequency
  • Sequences
  • Signal Processing
  • Waveforms

Fields of Study

  • Physics

Readers

  • Computer Vision.
  • Regression Analysis.
  • Theoretical Analysis.