Separating the Variances of a Two-Component Clock Model by Sequential Minque

Abstract

Minimum norm quadratic unbiased estimation, or MINQUE, is a method for improving the variance estimates of noise components in a Gauss-Markov least-squares problem. This study treats a simple special case: estimating the two noise levels of a clock whose phase noise is the sum of white FM and random walk FM. Given prior estimates of the noise levels, perhaps from an Allan deviation plot, MINQUE calculates new estimates and their uncertainties. Although the original MINQUE calculation on N data takes O(N2) space and O(N3) time, it can be done sequentially in bounded space and O(N) time. The method is applied to data from a simulation and from a comparison of two hydrogen masers.

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Document Details

Document Type
Technical Report
Publication Date
Dec 01, 2008
Accession Number
ADA503430

Entities

People

  • Charles Greenhall

Organizations

  • California Institute of Technology

Tags

DTIC Thesaurus Topics

  • Algorithms
  • Atomic Beam Masers
  • Clocks
  • Covariance
  • Data Science
  • Estimators
  • Frequency
  • Frequency Standards
  • Information Science
  • Intervals
  • Iterations
  • Jet Propulsion
  • Noise
  • Random Variables
  • Random Walk
  • Standards
  • Time Intervals

Readers

  • Positioning, Navigation, and Timing (PNT) Technology.
  • Regression Analysis.

Technology Areas

  • Space