An Adaptive Kalman Filter Tracker for Multi-Mode Range/Doppler Sonar

Abstract

This document presents the use of Kalman filter methods for making optimum use of incoming range and doppler information in determining a target track. Specifically, it (1) illustrates the fundamental application of linear Kalman filter mathematics; (2) expands the matrix equations to show the form and characteristics of the filter; (3) shows two methods of making the filter adaptive to target maneuvers through use of statistical properties of the measurement residuals; and (4) presents a means of using the uncertainty matrix of the tracker to select the optimum waveform for the subsequent ping, when the desire is to minimize the range error at some future time.

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Document Details

Document Type
Technical Report
Publication Date
Mar 05, 1977
Accession Number
ADA037800

Entities

People

  • C. N. Pryor

Organizations

  • Naval Underwater Systems Center

Tags

Communities of Interest

  • Weapons Technologies

DTIC Thesaurus Topics

  • Continuous Waves
  • Differential Equations
  • Doppler Sonar
  • Equations
  • Errors
  • Filters
  • Frequency
  • Kalman Filtering
  • Kalman Filters
  • Maneuvers
  • Mathematics
  • Measurement
  • Relaxation Time
  • Signal Processing
  • Sonar
  • Steady State
  • Waveforms

Readers

  • Positioning, Navigation, and Timing (PNT) Technology.
  • Radar Systems Engineering.
  • Theoretical Analysis.