An Analysis of the IIR and FIR Wiener Filters with Applications to Underwater Acoustics

Abstract

A detailed analysis of the performance the Wiener optimal filter for estimating a signal in additive noise is carried out. A first order AR model is assumed for both the signal and noise. Both IIR and FIR forms of the filter are considered and expressions are derived for the processing gain, mean square error and signal distortion. These measures are plotted as a function of the model parameters. This analysis motivates a generalized form of the Wiener filter, which can improve the signal distortion. An analysis of this more general filter is then carried out. A practical noise removal algorithm based on short time filtering using the generalized filter is also described, and results of applying the algorithm to some typical underwater acoustic data are presented.

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Document Details

Document Type
Technical Report
Publication Date
Jun 01, 1997
Accession Number
ADA333441

Entities

People

  • Natanael R. Fontes

Organizations

  • Naval Postgraduate School

Tags

Communities of Interest

  • Energy and Power Technologies
  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Additives (Chemicals)
  • Algorithms
  • Ambient Noise
  • Cross Correlation
  • Distortion
  • Electrical Engineering
  • Engineering
  • Equations
  • Filters
  • Filtration
  • Mathematical Filters
  • Mathematics
  • Pins
  • Signal Processing
  • Statistics
  • Underwater Acoustics
  • White Noise

Fields of Study

  • Engineering

Readers

  • Acoustical Oceanography.
  • Adaptive Control and Estimation with Uncertainty in Dynamic Systems.
  • Approximation Theory.