Aperture Sampling Limitations of Linear and Circular Arrays for Direction Finding and Nulling

Abstract

Is there an upper limit to the number of elements or, equivalently, samples, that can be usefully employed for direction finding or nulling a set of incoming wavefronts within a fixed size aperture? Mathematical theory states that this number is unlimited, but this result requires a perfect knowledge of the wavefront correlation matrix (i.e., a noise- and error-free environment) and infinite precision. To answer the question realistically, one must consider the element-to-element correlation matrix resulting from a set of incoming wavefronts impinging on an array of antenna elements. This matrix becomes ill-conditioned as the number of elements within the aperture increases.

Open PDF

Document Details

Document Type
Technical Report
Publication Date
May 14, 2002
Accession Number
ADA402293

Entities

People

  • D. A. Shnidman

Organizations

  • Massachusetts Institute of Technology

Tags

Communities of Interest

  • Energy and Power Technologies
  • Space

DTIC Thesaurus Topics

  • Abstracts
  • Air Force
  • Arrays
  • Data Sets
  • Delay Lines
  • Department Of Defense
  • Direction Finding
  • Eigenvalues
  • Eigenvectors
  • Environment
  • Equations
  • Linear Arrays
  • Massachusetts
  • Measurement
  • Power Levels
  • Precision
  • Spatial Distribution

Fields of Study

  • Physics

Readers

  • Phased Array Antenna Design.
  • Theoretical Analysis.