Adaptive Two Dimensional RLS (Recursive Least Squares) Algorithms

Abstract

A Two-Dimensional Fast Recursive Least Squares (2-D FRLS) algorithm is presented using a geometrical formulation ed on the mathematical concepts of vector space, orthogonal projection and subspace decomposition. By appropriately ordering the 2-D data, the algorithm provides an exact least-squares solution to the deterministic Normal equations. The method is further extended to the general FIR Wiener filter and to ARMA modeling. The size and shape the support region for both the MA and AR coefficients of the filter can be chosen arbitrarly. The ARMA parameter mation problem is also considered for the case when the system input is not available . Computer simulations are presented to illustrate the applications of the algorithm for 2-D parameter estimation, system identification and image coding. Keywords: Theses; Adaptive filters; VLSI (Very large scale integration); Electrical engineering.

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Document Details

Document Type
Technical Report
Publication Date
Mar 01, 1989
Accession Number
ADA210687

Entities

People

  • Armando M. De Jesus Sequeira

Organizations

  • Naval Postgraduate School

Tags

Communities of Interest

  • Air Platforms
  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Adaptive Filters
  • Algorithms
  • Coding
  • Coefficients
  • Computational Complexity
  • Computer Programming
  • Computer Simulations
  • Computers
  • Electrical Engineering
  • Engineering
  • Equations
  • Filters
  • Filtration
  • Signal Processing
  • Two Dimensional
  • Vector Spaces
  • Very Large Scale Integration

Fields of Study

  • Engineering

Readers

  • Adaptive Control and Estimation with Uncertainty in Dynamic Systems.
  • Computer Science/Computer Engineering/Data Science/Digital Signal Processing.
  • Electromagnetic Wave Scattering and Antenna Radiation Engineering

Technology Areas

  • Space
  • Space - Space Objects