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Electronic warfare - 2022

High-resolution goniometry and its applications to localization


This course aims to present learners with the main concepts of goniometry (estimation of source arrival directions), from the most traditional to the most advanced, by focusing on high resolution techniques so situations can be processed with sources and/or multipath propagations.


The course lasts 5 days (35 hours) and includes :

  • 15 hours of theory-based learning
  • 14 hours of application
  • 3 hours of Matlab-based demonstration
  • 1 hour of panel discussion


The aim of this course is to show the full potential of high-resolution goniometry with multiple sources and/or multipath propagations and its operational value for many applications requiring the location of transmitters or reflectors in disturbed situations.

The benefit, operational implementation and performance of high-resolution techniques are described for different applications such as HVUHF spectrum control and monitoring, HF single station localization, GPS and Galileo metrology, the location of cellular radiocommunications, sonar, ground radar and localization of intracerebral sources. 

It reconciles theory and practical applications in a balanced way and includes PC demonstrations of implementations and illustrations of processing performance.


Course level: Advanced

This course is suitable for engineers with basic knowledge of antenna and signal processing.



Lecturer, CNAM

Chairholder of Electronics



  • General overview of goniometry
    * Benefits, functions, constituents, technologies
    * Taxonomy, applications, performance, history
  • Modeling and sensor networks
    * Sources, waves, sensors, polarization, network
    * Narrow band and broadband observations
    * Statistical tools (moments, cumulants, circularity, cyclostationary, etc.) and algebraic tools (EVD, SVD, etc.)
    * Space diversity, diagrams, polarization networks
    * Ambiguities, Shannon spatial theorem
    * Cramer Rao Terminals
  • Conventional goniometry
    * Amplitude Goniometry: Watson-Watt, ecartometry
    * Phase Goniometry: interferometry
    * Phase and amplitude goniometry : vector correlation, lane formation
  • Super resolution and high resolution goniometry
    * Enumeration: Akaïke, MDL, threshold tests
    * Capon, linear prediction
    * MUSIC, Min-Norm, ESPRIT
    * Weighted Subspace Fitting, maximum likelihood
    * MUSIC with polarization diversity
    * Performance without and with model errors
  • Advanced high resolution goniometry
    * Selective goniometry: reference, cyclic, higher order
    * Goniometry after signature identification
    * Multi-parameter goniometry :
          * Diffuse sources : spatia-temporal, spatio-frequential
          * Autocalibration
  • Operational implementation
    * Architecture and characteristics of a goniometer
          * Model errors, synchronous CAN, calibration/equalization of reception channels, calibration of antennas
  • Applications
    * HVUHF spectrum control and monitoring
    * HF single station localization
    * Metrology of GPS and Galileo systems: interference analysis
    * Location and cellular networks: rescue in a crisis situation (avalanche, fire, etc.), tracking
    * Sonar and high resolution sonar tracking
    * High resolution ground radar
    * Biomedical: localization of intracerebral sources
  • Démonstrations
    * MATLAB demonstrations on implementation and performance of high-resolution goniometry


Scheduled in French:

PARIS: 5 to 9 December , 2022

For the English realization, please, consult us.


€2,550 excluding tax (20% VAT)

See general terms

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