On the Relationship between the Discrete Fourier Transform and Maximum Likelihood Estimation

Abstract

This memorandum examines the relationship between the discrete Fourier transform (DFT) and Maximum Likelihood (ML) estimation when applied to the estimation of directions-of-arrival (DOAs). It is shown that the DFT/periodogram method, which can be used to obtain the maximum likelihood estimate for a single DOA, can be generalized to yield maximum likelihood estimates for multiple DOAs. A new DOA algorithm is presented and a fast implementation is developed. This algorithm can be modified to be as fast as and more accurate than conventional narrowband beamforming in many practical applications, with the ability to achieve the Cramer-Rao bound in situations requiring maximum resolution.

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Document Details

Document Type
Technical Report
Publication Date
Mar 01, 1999
Accession Number
ADA637058

Entities

People

  • Craig S. Macinnes

Organizations

  • Naval Undersea Warfare Center

Tags

Communities of Interest

  • Materials and Manufacturing Processes
  • Sensors

DTIC Thesaurus Topics

  • Algorithms
  • Analytic Functions
  • Arrays
  • Beam Forming
  • Complex Variables
  • Direction Finding
  • Discrete Fourier Transforms
  • Estimators
  • Floating Point Operations
  • Frequency
  • Linear Arrays
  • Maximum Likelihood Estimation
  • Military Research
  • Narrowband
  • Two Dimensional
  • Undersea Warfare
  • Very Low Frequency

Fields of Study

  • Engineering

Readers

  • Applied Combinatorial Optimization and Logic Circuit Design.
  • Image Processing and Computer Vision.
  • Neural Network Machine Learning.