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Article

Variance Component Estimation (VCE)-Based Adaptive Stochastic Modeling for Enhanced Convergence and Robustness in GNSS Precise Point Positioning (PPP)

1
National Deep Sea Center (NDSC), Qingdao 266237, China
2
College of Environmental Science and Engineering, Ocean University of China, Qingdao 266100, China
3
College of Ocean Science and Engineering, Shandong University of Science and Technology, Qingdao 266590, China
*
Author to whom correspondence should be addressed.
Remote Sens. 2025, 17(17), 3071; https://doi.org/10.3390/rs17173071
Submission received: 22 July 2025 / Revised: 25 August 2025 / Accepted: 26 August 2025 / Published: 3 September 2025

Abstract

The stochastic model in Precise Point Positioning (PPP) defines the statistical properties of observations and the dynamic behavior of parameters. An inaccurate stochastic model can degrade positioning accuracy, ambiguity resolution, and other aspects of performance. However, due to the influence of multiple factors, the stochastic model in PPP cannot be precisely predetermined, necessitating the development of an Adaptive Stochastic Model (ASM) based on Variance Component Estimation (VCE). While the benefits of ASMs for PPP float solutions are well documented, their contributions to other performance aspects remain insufficiently explored. This paper presents a comprehensive assessment of an ASM’s impact on PPP. First, the implementation of an ASM using VCE is described in detail. Then, experimental results demonstrate that the ASM effectively captures observational conditions through the estimated variance component factors. It enhances both PPP float and fixed solutions when the predefined stochastic model is inadequate, improves cycle-slip detection by tightening the stochastic model (reducing the missed detection rate from 19% to 8%), and accelerates both direct reconvergence and re-initialization after data gaps, with reconvergence times improved by 18% and 55%, respectively.
Keywords: stochastic model; Precise Point Positioning (PPP); Variance Component Estimation (VCE); Ambiguity Resolution (AR); Detection, Identification, Adaptation (DIA); interruption fixing stochastic model; Precise Point Positioning (PPP); Variance Component Estimation (VCE); Ambiguity Resolution (AR); Detection, Identification, Adaptation (DIA); interruption fixing

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MDPI and ACS Style

Zheng, Y.; Sun, Y.; Zhou, Y.; Wang, S.; Liu, Y. Variance Component Estimation (VCE)-Based Adaptive Stochastic Modeling for Enhanced Convergence and Robustness in GNSS Precise Point Positioning (PPP). Remote Sens. 2025, 17, 3071. https://doi.org/10.3390/rs17173071

AMA Style

Zheng Y, Sun Y, Zhou Y, Wang S, Liu Y. Variance Component Estimation (VCE)-Based Adaptive Stochastic Modeling for Enhanced Convergence and Robustness in GNSS Precise Point Positioning (PPP). Remote Sensing. 2025; 17(17):3071. https://doi.org/10.3390/rs17173071

Chicago/Turabian Style

Zheng, Yanning, Yongfu Sun, Yubin Zhou, Shengli Wang, and Yixu Liu. 2025. "Variance Component Estimation (VCE)-Based Adaptive Stochastic Modeling for Enhanced Convergence and Robustness in GNSS Precise Point Positioning (PPP)" Remote Sensing 17, no. 17: 3071. https://doi.org/10.3390/rs17173071

APA Style

Zheng, Y., Sun, Y., Zhou, Y., Wang, S., & Liu, Y. (2025). Variance Component Estimation (VCE)-Based Adaptive Stochastic Modeling for Enhanced Convergence and Robustness in GNSS Precise Point Positioning (PPP). Remote Sensing, 17(17), 3071. https://doi.org/10.3390/rs17173071

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