Adaptive Sidelobe Cancelling Using Complex-Valued Canonical Variables

Abstract

A sidelobe canceler is an adaptive array configuration structured to enhance the reception of a desired signal corrupted by unwanted interference signals in applications such as radar, sonar, and communication systems. Several performance criteria, including the minimum mean square error (MMSE) and maximum likelihood, have been defined for adaptive array problems. A new performance criterion, referred to as maximum correlation (MC), is introduced herein in the context of sidelobe canceling. The MC criterion is based on the concept of canonical variables introduced by Hotelling in 1936 to defined a canonical relationship between two sets (or vectors) of real valued random variables. In this report Hotelling's formulation is extended to handle complex-valued random variables for the special case of a complex-valued scalar and a complex-valued vector. In addition, it is shown that the weight vector solution for the MC criterion is equivalent, up to a scale factor, to the MMSE weight vector.

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Document Details

Document Type
Technical Report
Publication Date
Mar 01, 1998
Accession Number
ADA342376

Entities

People

  • Jaime R. Roman

Tags

Communities of Interest

  • Sensors

DTIC Thesaurus Topics

  • Air Force
  • Air Force Research Laboratories
  • Algorithms
  • Complex Numbers
  • Complex Variables
  • Covariance
  • Eigenvalues
  • Eigenvectors
  • Equations
  • Military Research
  • New York
  • Radar
  • Random Variables
  • Security
  • Sidelobes
  • Statistical Analysis
  • Two Dimensional

Fields of Study

  • Engineering

Readers

  • Calculus or Mathematical Analysis
  • Phased Array Antenna Design.
  • Regression Analysis.