Frequency-Domain Maximum-Likelihood Adaptive Filtering

Abstract

Recent intensive study of adaptive (gradient-search) filtering in the time domain has not solved the problems with rate-of-convergence problem, which is a major difficulty with this technique. A recent study based on a set of time-stationary synthetic data shows that the time-domain maximum-likelihood adaptive filter converges very slowly to the optimum filter. After 3300 iterations of adaption with an adaptive rate of 10 percent of maximum value, the adaptive filter is still about 4 db away from the optimum filter in the sense of mean-square outputs. Time-domain adaptive filtering necessitates using only one convergence parameter for all filter coefficients, which may cause slow convergence for some data. Frequency-domain adaptive filtering may solve this problem, since different convergence parameters can be used for different frequency components. This report describes a frequency-domain maximum- likelihood adaptive-filtering algorithm analogous to the time-domain adaptive algorithm. This algorithm was used with a set of synthetic stationary data previously used for a time-domain adaptive-filtering study. Different filter lengths and convergence parameters were used. Results are compared with beamsteer and time-domain adaptive filter.

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Document Details

Document Type
Technical Report
Publication Date
Aug 21, 1970
Accession Number
AD0875830

Entities

People

  • Chung-yen Ong

Organizations

  • Texas Instruments

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Abstracts
  • Adaptive Filters
  • Air Force
  • Algorithms
  • Arrays
  • Contracts
  • Convergence
  • Equations
  • Filters
  • Filtration
  • Fourier Transformation
  • Frequency
  • Frequency Domain
  • Power Spectra
  • Seismic Arrays
  • Spectra
  • Time Domain

Fields of Study

  • Engineering

Readers

  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Phased Array Antenna Design.
  • Statistical inference.