Degrees of Freedom and Three-Cornered Hats

Abstract

The three-cornered hat is a procedure for extracting the stabilities of three clocks when the only available information is the time or frequency differences between the clocks. To our knowledge, there has been no method of determining a confidence interval for such a siability estimate. In this paper, we present a method for determining the number of degrees of freedom of the estimate, which allows the assignment of a confidence interval to a three-cornered-hat stability estimate.

Open PDF

Document Details

Document Type
Technical Report
Publication Date
Nov 01, 2001
Accession Number
ADA485909

Entities

People

  • Christopher R. Ekstrom
  • Paul A. Koppang

Organizations

  • United States Naval Observatory

Tags

Communities of Interest

  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Abstracts
  • Clocks
  • Data Sets
  • Equations
  • Frequency
  • Frequency Modulation
  • Frequency Standards
  • Gaussian Distributions
  • Gaussian Noise
  • Information Operations
  • Intervals
  • Measurement
  • Noise
  • Oscillators
  • Random Walk
  • Standards
  • Time Intervals

Fields of Study

  • Mathematics

Readers

  • Control Systems Engineering.
  • Positioning, Navigation, and Timing (PNT) Technology.
  • Spectroscopy.