Radar and Sonar Ambiguity Functions and Group Theory

Abstract

Group theory is applied in unify wideband radar theory with narrowband radar theory through contractions. Following Kalnins and Miller in their work with contractions, we correct their calculations, completing their theory. We also unify different forms of the wideband ambiguity function in the engineering literature through group theory and begin some discrete transforms, the finite counterpart of wideband and narrowband theory. Group theory, Radar, Sonar, Ambiguity functions, Wideband, Discrete transforms.

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Document Details

Document Type
Technical Report
Publication Date
Aug 01, 1993
Accession Number
ADA268854

Entities

People

  • A. Banyaga
  • A. P. Chaiyasena
  • L. H. Sibul

Organizations

  • Pennsylvania State University

Tags

Communities of Interest

  • Air Platforms
  • C4I
  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Acoustic Waves
  • Algebra
  • Discrete Fourier Transforms
  • Doppler Effect
  • Equations
  • Harmonic Analysis
  • Identities
  • Information Theory
  • Integrals
  • Inverse Problems
  • Lie Groups
  • Numbers
  • Real Numbers
  • Signal Processing
  • Theorems
  • Vector Spaces
  • Wavelet Transforms

Readers

  • Acoustical Oceanography.
  • Mathematical Modeling and Probability Theory.
  • Theoretical Analysis.