Spectral Analysis of a Univariate Process with Bad Data Points, via Maximum Entropy and Linear Predictive Techniques

Abstract

A comparison of several methods for spectral estimation of a univariate process with equi-spaced samples, including maximum entropy, linear predictive, and autoregressive techniques, is made. The comparison is conducted via simulation for situations both with and without bad (or missing) data points. The case of bad data points required extensions of existing techniques in the literature and is documented fully here in the form of processing equations and FORTRAN programs. It is concluded that the maximum entropy (Burg) technique is as good as any of the methods considered, for the univariate case. The methods considered are particularly advantageous for short data segments. This report also reviews several available techniques for spectral analysis under different states of knowledge and presents the interrelationships of the various approaches in a consistent notation. Hopefully, this non-rigorous presentation will clarify this method of spectral analysis for readers who are nonexpert in the field.

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Document Details

Document Type
Technical Report
Publication Date
Mar 26, 1976
Accession Number
ADA024942

Entities

People

  • Albert H. Nuttall

Organizations

  • Naval Undersea Warfare Center

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Algorithms
  • Computations
  • Data Sets
  • Digital Filters
  • Equations
  • Filters
  • Frequency
  • Frequency Bands
  • Information Theory
  • Plastic Explosives
  • Probability
  • Random Variables
  • Signal Processing
  • Simulations
  • Standards
  • Transfer Functions
  • White Noise

Fields of Study

  • Mathematics

Readers

  • Approximation Theory.
  • Systems Analysis and Design
  • Theoretical Analysis.

Technology Areas

  • Space
  • Space - Space Objects