A High Resolution Power Spectral Estimate: The Maximum Entropy Method.

Abstract

A new spectral estimate, the maximum entropy method, is described. In the maximum entropy method, the entropy change of a signal is maximized under the constraint that the autocorrelation function is the Fourier transform of the spectral power density. The problem reduces to specifying a unit-distance prediction error filter or, equivalently, a whitening filter. The spectral estimates are calculated in two ways: (1) by minimizing the error power to obtain the coefficients of the prediction error filter, as suggested by Burg and, (2) by a direct solution of the matrix equation using an algorithm due to Levinson. These results are compared with a modified Blackman-Tukey technique, calculated with a Hamming window. Applications of the maximum entropy method to geomagnetic micropulsations and to the annual sunspot number are shown. (Modified author abstract)

Document Details

Document Type
Technical Report
Publication Date
Feb 13, 1974
Accession Number
AD0779693

Entities

People

  • Edward J. Zawalick
  • Henry R. Radoski
  • Paul F. Fougere

Organizations

  • Air Force Cambridge Research Laboratories

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Abstracts
  • Algorithms
  • Autocorrelation
  • Coefficients
  • Data Science
  • Equations
  • High Resolution
  • Information Science
  • Mathematics
  • Statistical Algorithms

Fields of Study

  • Engineering

Readers

  • Adaptive Control and Estimation with Uncertainty in Dynamic Systems.
  • Approximation Theory.