High-precision troposphere delay modeling method, device and equipment under sparse GNSS sites

By constructing ZTD residual time series under sparse GNSS stations, generating virtual station ZTD values ​​and performing weighted fusion, and combining spherical cap harmonic analysis, the problem of high precision and high resolution of ZTD maps under sparse GNSS stations was solved, and a continuous and accurate ZTD map of the entire region was generated.

CN121477262BActive Publication Date: 2026-06-19广西壮族自治区自然资源信息中心 +1
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Patent Information

Authority / Receiving Office
CN · China
Patent Type
Patents(China)
Current Assignee / Owner
广西壮族自治区自然资源信息中心
Filing Date
2025-11-24
Publication Date
2026-06-19

AI Technical Summary

Technical Problem

In scenarios with sparse GNSS stations and complex terrain, existing technologies struggle to balance the high spatial resolution and high precision of ZTD maps, making it impossible to generate ZTD maps that meet the high-precision application requirements of related fields.

Method used

The initial ZTD value is calculated using the first preset empirical model. The ZTD residual time series is constructed by combining the measured ZTD value with GNSS data and the periodic signal is determined. The residual model is constructed to obtain the ZTD residual. The virtual station ZTD value is generated based on the second preset empirical model with the error correction term. The variance component estimation method is used for weighted fusion. The adaptation coefficient is solved by spherical cap harmonic analysis. The continuous ZTD model is constructed and a high-resolution, high-precision ZTD map is generated.

Benefits of technology

High-precision tropospheric delay modeling under sparse GNSS stations was achieved, improving the accuracy and spatial continuity of tropospheric delay, and generating a continuous and accurate high-resolution ZTD map for the entire region.

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Abstract

This invention provides a high-precision tropospheric delay modeling method, apparatus, and equipment for sparse GNSS stations, belonging to the field of space science and technology. The method includes: calculating the initial ZTD values ​​of real GNSS stations using a first preset empirical model; constructing a ZTD residual time series by combining the measured ZTD values ​​with the actual GNSS values; analyzing periodic signals and constructing a residual model to obtain the ZTD residuals, thereby obtaining improved ZTD values ​​for the real GNSS stations; based on a second preset empirical model incorporating an error correction term, deploying virtual stations in sparse regions and generating their ZTD values; weighted fusing the real and virtual ZTD values ​​using a variance component estimation method to obtain a unified ZTD observation dataset; solving for the adaptation coefficients using spherical cap harmonic analysis, constructing a continuous ZTD model, and outputting full-area data to generate a high-resolution, high-precision ZTD map. This invention effectively compensates for the insufficient coverage of sparse GNSS station data, significantly improving the accuracy, spatial continuity, and regional coverage integrity of tropospheric delay modeling.
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