On the Estimation of Spectral Parameters Using Burst Waveforms

Abstract

This report addresses the problem of estimating the spectral parameters of an observed doppler velocity spectrum using a burst radar waveform of arbitrary length. Maximum likelihood theory is applied and the exact M.L.E. algorithm for estimating the spectral mean is derived. This M.L.E. algorithm is shown to include, as a special case, the spectral mean estimator originally proposed by R. W. Miller for processing of burst waveforms. Also, when the burst waveform is a simple pulse pair, the M.L.E. algorithm reduces to the spectral mean estimator originally proposed by W.D. Rummler. The Cramer-Rao bound for estimating the spectral mean using burst waveforms is also derived. Simplifications to the exact maximum-likelihood algorithm are proposed and the performance of various estimators is compared to the Cramer-Rao lower bound. Some preliminary results of studies of spectral width estimators are also presented. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Dec 14, 1983
Accession Number
ADA137932

Entities

People

  • Leslie M. Novak

Organizations

  • Massachusetts Institute of Technology

Tags

Communities of Interest

  • Energy and Power Technologies
  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Algorithms
  • Doppler Radar
  • Error Analysis
  • Errors
  • Estimators
  • Frequency
  • Frequency Domain
  • Monte Carlo Method
  • Noise
  • Optimal Estimators
  • Probability Density Functions
  • Radar Signals
  • Random Variables
  • Simulations
  • Simulators
  • Standards
  • Waveforms

Fields of Study

  • Engineering

Readers

  • Radar Systems Engineering.
  • Statistical inference.