An Optimal FIR Filtering Algorithm for a Time Error Model of a Precise Clock

Abstract

This report is a comparative study of the GPS-based parameter estimates of the precise local clock linear time model. We estimate the time error x and fractional frequency offset y employing the finite impulse response "FIR" digital filters, namely: the simple moving average "MA", the second order low pass "LP", and the optimally unbiased "OU". The estimates are provided analytically, and we show that, in terms of a minimum root-mean-square error "RMSE", the simple MA is best to use for x estimates when 0 <= y < y1 , the second-order LP FIR is best if 1 2 y < y < y , and the OU is best for y < y 2 , where 1 y and 2 y are determined constants. Finally, we present an optimal FIR algorithm for the precise clock linear time error model and show that of all the estimators, including the Kalman, the presented algorithm yields minimum RMSE of the fractional frequency offset.

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Document Details

Document Type
Technical Report
Publication Date
Jan 01, 2003
Accession Number
ADA484410

Entities

People

  • Oscar Ibarra-manzano
  • Yuriy Shmaliy

Organizations

  • Universidad de Guanajuato

Tags

Communities of Interest

  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Algorithms
  • Atomic Clocks
  • Clocks
  • Electronic Mail
  • Errors
  • Filters
  • Filtration
  • Frequency
  • Gaussian Noise
  • Information Operations
  • Intervals
  • Measurement
  • Noise
  • Standards
  • Statistical Algorithms
  • Time Intervals
  • Weighting Functions

Readers

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

Technology Areas

  • Space