Convergence Rate of a Gram-Schmidt Canceller. Revision

Abstract

The open-loop Gram-Schmidt (GS) canceller is shown to be numerically identical with the Sampled Matrix Inversion (SMI) algorithm in the transient state if infinite numerical accuracy is assumed. Three forms of the GS canceller are discussed and analyzed-concurrent, non-concurrent, and sliding window processing. Convergence results for concurrent and non-concurrent SMI cancellers have been obtained in the past by Reed, Mallet, and Brennan under the assumption that the inputs are Gaussian. In this report many of those results are reproduced by using the GS structures as analysis tool. In addition, new results are obtained for when the input noises are not Gaussian. Furthermore, it is shown that the sliding window GS canceller has the same convergence properties as the concurrent GS canceller. The deleterious effect of over matching the degrees of freedom is discussed. Keywords: Electronic counter countermeasures, Adaptive filter, Radar, Adaptive cancellation.

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Document Details

Document Type
Technical Report
Publication Date
Apr 20, 1989
Accession Number
ADA207851

Entities

People

  • Frank F. Kretschmer Jr.
  • Karl R. Gerlach

Organizations

  • United States Naval Research Laboratory

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Accuracy
  • Adaptive Filters
  • Algorithms
  • Batch Processing
  • Cancellation
  • Convergence
  • Counter Countermeasures
  • Data Science
  • Data Sets
  • Electronic Counter Countermeasures
  • Equations
  • Information Science
  • Probability
  • Probability Density Functions
  • Random Variables
  • Signal Detection
  • Steady State

Fields of Study

  • Engineering

Readers

  • Adaptive Control and Estimation with Uncertainty in Dynamic Systems.
  • Military History
  • Radio communications and signal processing.

Technology Areas

  • Microelectronics