Approximations to Robust Wiener Filters.

Abstract

Several approximations to the robust Wiener filters for two uncertainty classes of signal and noise spectra are considered. The approximations consist of realizable n-th order filters of the Butterworth and Chebyshev types. For each uncertainty class, the worst-case performances of the approximate and ideal robust filters are compared. It is found that, for the epsilon-contaminated uncertainty class, the approximate robust filter using only second-order Butterworth filters gives a very good approximate robust filter using only second-order Butterworth filters gives a very good approximation. For the p-point class, where there is more uncertainty in the knowledge of the true spectra of the signal and noise, it is necessary to use filters of relatively high orders to obtain good approximations. Furthermore for this class, the best approximation is obtained by using Chebyshev filters of high orders and small ripple. Keywords: Thesis; Robust signal estimation; Minimax design; Finite-order filters.

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Document Details

Document Type
Technical Report
Publication Date
May 04, 1984
Accession Number
ADA161321

Entities

People

  • Myrna Roula Cotran

Organizations

  • University of Illinois Urbana–Champaign

Tags

Communities of Interest

  • Energy and Power Technologies
  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Bandpass Filters
  • Bandwidth
  • Chebyshev Approximations
  • Electrical Engineering
  • Filters
  • Filtration
  • Frequency
  • Frequency Response
  • Gain
  • Integrals
  • Low Pass Filters
  • Signal Processing
  • Spectra
  • Time Domain
  • Transfer Functions
  • Uncertainty
  • Universities

Fields of Study

  • Engineering

Readers

  • Approximation Theory.