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<p>A fast estimation method for the model coefficients of Global Navigation Satellite System (GNSS) satellite clock errors is introduced, utilizing GNSS carrier phase and pseudorange observations sampled at 1-s intervals from global or regional networks. This method employs epoch-differenced ionosphere-free phase observations, significantly reducing computational time. The coefficients estimated from the quadratic polynomial are then utilized to establish a high-rate real-time service (RTS) for GNSS satellite clock errors. The results indicate that the estimated 1&#xa0;Hz GNSS satellite clock errors achieve accuracies of 0.057, 0.047, and 0.045&#xa0;ns for GPS, BDS-3, and Galileo, respectively, when compared with the final products from the WHU (Wuhan University) analysis center. Additionally, the extrapolated 1&#xa0;Hz GNSS satellite clock errors based on the estimated coefficients achieve accuracies of 0.084, 0.064, and 0.069&#xa0;ns for GPS, BDS-3, and Galileo, respectively. Kinematic precise point positioning (PPP) results derived from the estimated and extrapolated 1&#xa0;Hz satellite clock errors demonstrate accuracies ranging from centimeters to decimeters, outperforming the RTS of the National Centre for Space Studies in both 5-s and 1-s PPP applications. The 1&#xa0;Hz satellite clock errors enhance the convergence performance of static PPP using 5-s interval observations. These PPP results validate that the fast estimation of quadratic polynomial coefficients for satellite clock errors over one minute, followed by broadcasting these coefficients at one-minute intervals, can effectively support real-time PPP applications operating at 1&#xa0;Hz.</p>

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Fast estimation and timely service of the GNSS satellite clock errors for support of 1 Hz real-time precise point positioning applications

  • 期刊论文

  • 发表日期：

    2025年7月3日

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  • Haojun Li,
  • Xiaoming Li

摘要

A fast estimation method for the model coefficients of Global Navigation Satellite System (GNSS) satellite clock errors is introduced, utilizing GNSS carrier phase and pseudorange observations sampled at 1-s intervals from global or regional networks. This method employs epoch-differenced ionosphere-free phase observations, significantly reducing computational time. The coefficients estimated from the quadratic polynomial are then utilized to establish a high-rate real-time service (RTS) for GNSS satellite clock errors. The results indicate that the estimated 1 Hz GNSS satellite clock errors achieve accuracies of 0.057, 0.047, and 0.045 ns for GPS, BDS-3, and Galileo, respectively, when compared with the final products from the WHU (Wuhan University) analysis center. Additionally, the extrapolated 1 Hz GNSS satellite clock errors based on the estimated coefficients achieve accuracies of 0.084, 0.064, and 0.069 ns for GPS, BDS-3, and Galileo, respectively. Kinematic precise point positioning (PPP) results derived from the estimated and extrapolated 1 Hz satellite clock errors demonstrate accuracies ranging from centimeters to decimeters, outperforming the RTS of the National Centre for Space Studies in both 5-s and 1-s PPP applications. The 1 Hz satellite clock errors enhance the convergence performance of static PPP using 5-s interval observations. These PPP results validate that the fast estimation of quadratic polynomial coefficients for satellite clock errors over one minute, followed by broadcasting these coefficients at one-minute intervals, can effectively support real-time PPP applications operating at 1 Hz.