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Emitter Location, DF, and Frequency Estimation

Seminar Overview

Learn how the MUSIC algorithm and related signal subspace algorithms allow improved performance in important ELINT and EW applications. Understand the problems and the benefits of applying these modern techniques.

Seminar Outline

Day 1

  • Beamforming vs High Resolution DF
  • The Signal Subspace (Geometric) Approach
  • The Array Manifold
  • Calibrating an Array
  • Including Polarization Diversity
  • The MUSIC Algorithm
  • Locating Multiple Cochannel Sources
  • Detection: Deciding the Number of Signals
  • Geometric Solutions as Eigen System Algorithms
  • Estimating Parameters of Cochannel Sources
  • Introduction to Bivectors and Array Manifold
  • A Practical Problem: Interpolating the Array Manifold

Day 2

  • Copying the Signals of Cochannel Sources
  • Hypersensitivity in Copy
  • Algorithms of Burg, Capon, Prony, Pisarenko
  • Wideband Extensions and Problems
  • Frequency Measurement of Multiple Sinusoids
  • The FFT is not a "High Resolution" Method"
  • "Root" Algorithms
  • Detection: Deciding the Number of Sinusoids
  • Theoretical Limits on Accuracy

Day 3

  • Range (Range Rate) Difference Location
  • TOA, TDOA/FDOA Emitter Location
  • Hyperbolic Lines of Position
  • LOCA: Straight Lines Locating the Emitter
  • Hyperbolic Intersections vs LOCA
  • 2D/3D Emitter Location
  • N Receiver Arrays
  • Least Squares Solutions Using Multilinear Algebra

Seminar Materials Provided

Seminar notes and a certificate for 2.2 Continuing Education Units.

Who Should Attend

This seminar provides the systems engineer and analyst with an understanding of the geometry of a signal processing system for emitter location, direction finding, frequency estimation. The participant should have the benefit of some prior exposure to linear algebra and vector space ideas. The seminar will include a minimum of mathematics (equations) but a large dose of new (to the engineering community) mathematical concepts and ideas.

Instructor(s)

Ralph O. Schmidt, Ph.D., has been active in signal processing work for over 30 years. His work in emitter location and direction finding led to new and important algorithms such as Multiple Signal Classification (MUSIC) and Location on the Conic Axis (LOCA). Dr. Schmidt, the author of many technical papers and reports, has several patents issued and pending, and is a Fellow of the IEEE.


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