GPS-Based Time Error Estimates Provided by Smoothing, Wiener, and Kalman Filters: A Comparative Study
Abstract
GPS timing plays a critical role in modern practice of time errors estimate and synchronization. Big noise of the GPS-based measured data and inherent non-stationary of a time error cause major difficulties here. In spite of theoretical separation of the application fields for the filters (stationary and non-stationary signals), GPS-based time error processes require more explicit practical answer. Indeed, what process may be practically treated as a stationary one and, to opposite, how to recognize a non-stationary case? In this report we answer these questions by numerically and show that for the same transient time the following filter should be used to get the best accuracy for the known initial fractional frequency offset y(sub 0) (time error rate) of oscillator, namely an average smoother for |y(sub o)| < r(sub 1), the Wiener filter for r(sub 1) less than or equal to |y(sub 0)| less than or equal to r(sub 2), and the Kalman filter for r(sub 2) < |y(sub 0)|, where r(sub 1) and r(sub 2) are coordinates dependent on the required accuracy. We prove this conclusion by the example of a time error estimate of the rubidium standard based on the reference tinting signals of the Motorola GPS UT+ Oncore Timing receiver.
Document Details
- Document Type
- Technical Report
- Publication Date
- Nov 01, 2000
- Accession Number
- ADA485688
Entities
People
- 0. Ibarra-mamano
- A. V. Marienko
- M. Torres-cisneros
- Y. S. Shmaliy
Organizations
- Universidad de Guanajuato