On the Contraction Mapping Method for Frequency Detection

Abstract

The contraction mapping method for frequency estimation in the presence of noise, identifies the cosine of the frequency to be detected as a fixed point of a certain correlation mapping. At its heart, the method provides a plan for automatic self tuning of parametric filters. A variant of the method, called the HK algorithm, produces recursive zero-crossing rates (normalized HOC sequences) that converge to the frequency of interest. A statistical explanation for the contraction mapping method as epitomized by the HK algorithm is provided when the HOC sequences are produced by bandpass filters. The outright consistency of the zero-crossing rate is not required. Examples show that the method performs quite remarkably.

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Document Details

Document Type
Technical Report
Publication Date
Jun 01, 1991
Accession Number
ADA454953

Entities

People

  • Benjamin Kedem
  • Sidney Yakowitz

Organizations

  • University of Maryland

Tags

DTIC Thesaurus Topics

  • Abstracts
  • Algorithms
  • Bandpass Filters
  • Crossings
  • Detection
  • Engineering
  • Filters
  • Frequency
  • Industrial Engineering
  • Information Operations
  • Sequences
  • Systems Engineering
  • Universities

Fields of Study

  • Engineering

Readers

  • Approximation Theory.
  • Systems Analysis and Design