Determination of Noise Field Directionality Directly from Spatial Correlation for Linear Planar, and Volumetric Arrays

Abstract

The spatial correlation between two points of an array is given by a two-dimensional integral in terms of the noise field directionality. Depending on the dimensionality of the array, this integral equation can be partially solved, to yield explicit expressions for the noise field directionality in terms of a multi-dimensional Fourier transform. In particular, for a linear array, a one-dimensional collapsed field distribution can be determined; for a planar array, the sum of symmetrically-arriving rays can be solved for; and for a volumetric array, the complete filed can be found. The effects of finite length and discrete arrays on the estimate of the noise field directionality are also considered. (JHD)

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Document Details

Document Type
Technical Report
Publication Date
Oct 06, 1989
Accession Number
ADA220320

Entities

People

  • Albert H. Nuttall

Organizations

  • Naval Underwater Systems Center

Tags

Communities of Interest

  • Advanced Electronics
  • Air Platforms
  • Weapons Technologies

DTIC Thesaurus Topics

  • Abstracts
  • Canada
  • Coordinate Systems
  • Data Processing
  • Delta Functions
  • Equations
  • Fast Fourier Transforms
  • Frequency
  • Integral Equations
  • Integrals
  • Linear Arrays
  • National Security
  • New Zealand
  • Plastic Explosives
  • Security
  • Three Dimensional
  • Two Dimensional

Readers

  • Calculus or Mathematical Analysis
  • Phased Array Antenna Design.