Performance of the Adaptive Noise Canceller with a Noisy Reference - Non-Wiener Solutions.

Abstract

The performance of the adaptive noise canceller (ANC) is typically analyzed in terms of Wiener filter theory. However, a narrowband signal in the reference at a frequency for which there is no correlated signal in the primary gives rise to a notch in the output spectrum, a solution which lies outside the scope of the classical theory. In this report, an analytic expression for the output spectrum is derived for the more general case of a reference signal containing a sinusoid in white noise (assumed no reference noise). In general, although the notch depth diminishes with decreasing signal-to-noise ratio, the exact functional relationship depends on the primary input; i.e., there is no longer a time invariant relationship between the output and primary spectra. These results are shown to reduce to those of the classical Wiener filter in the appropriate context. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Mar 15, 1979
Accession Number
ADA069825

Entities

People

  • M. Shensa

Tags

Communities of Interest

  • C4I
  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Computational Science
  • Computer Simulations
  • Computers
  • Difference Equations
  • Discrete Fourier Transforms
  • Eigenvalues
  • Eigenvectors
  • Equations
  • Frequency
  • Narrowband
  • Noise
  • Power Spectra
  • Random Variables
  • Simulations
  • Spectra
  • Transfer Functions
  • White Noise

Fields of Study

  • Engineering

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