Eigenvector Analysis for Multipath

Abstract

This research analyzes the properties of singular vectors of circulant matrices. In particular, it proves that the singular values of circulant matrices are doubly degenerate. This results in a V pattern in the Fourier transform of the singular vectors. An additional structure in the Fourier space is observed and proven. These results provide a rigorous and firm foundation for the use of the Fourier space structures in the analysis of multipath.

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Document Details

Document Type
Technical Report
Publication Date
Apr 01, 2007
Accession Number
ADA468948

Entities

People

  • Edmond Rusjan

Organizations

  • SUNY Polytechnic Institute

Tags

Communities of Interest

  • C4I

DTIC Thesaurus Topics

  • Air Force
  • Air Force Research Laboratories
  • Algebra
  • Applied Mathematics
  • Corporations
  • Decomposition
  • Discrete Fourier Transforms
  • Eigenvalues
  • Eigenvectors
  • Government Procurement
  • Governments
  • Linear Algebra
  • Mathematics
  • Military Research
  • Numbers
  • Signal Processing
  • Square Roots

Readers

  • Linear Algebra
  • Radar Systems Engineering.

Technology Areas

  • Space