Unbiased FIR Estimates vs. the Sawtooth-Corrected GPS-Based Measurements: Experimental Evaluation

Abstract

We show that, owing to small noise and smoothed excursions, the unbiased FIR filtering algorithm produces more accurate estimates of the TIE model of a local clock than the sawtooth-less GPS-based measurements. The algorithm becomes much more efficient in estimating the fractional frequency offset and higher order states. For the algorithm to work with minimum errors, the optimal time step Tau(sub opt) and number of the points in the average N(sub opt) must be ascertained in the sense of the minimum mean-square error (MSE) for each of the clock states. The relevant dependencies of N(sub opt) on Tau(sub opt) are found experimentally for a crystal clock. The trade-off between the estimates and sawtooth-less measurements is illustrated graphically.

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Document Details

Document Type
Technical Report
Publication Date
Jan 01, 2007
Accession Number
ADA474266

Entities

People

  • J. Munoz-diaz
  • L. Arceo-miquel
  • O. Ibarro-manzano
  • Y. S. Shmaliy

Organizations

  • Universidad de Guanajuato

Tags

Communities of Interest

  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Abstracts
  • Algorithms
  • Atomic Clocks
  • Clocks
  • Crystal Oscillators
  • Electronic Mail
  • Filters
  • Filtration
  • Frequency
  • Frequency Shift
  • Information Operations
  • Intervals
  • Measurement
  • Observation
  • Signal Processing
  • Test And Evaluation
  • Time Intervals

Readers

  • Adaptive Control and Estimation with Uncertainty in Dynamic Systems.
  • Analytical Mechanics
  • Positioning, Navigation, and Timing (PNT) Technology.

Technology Areas

  • Space