DD Ambiguity Integer Resolution for Reliable PPP-AR Corrections

Solution Overview

Problem

Existing positioning techniques face challenges in resolving floating-point ambiguities to their correct integer values, particularly in precise point positioning with ambiguity resolution (PPP-AR), which are computationally intensive and unreliable, especially when using data from multiple reference stations.

Innovation Solution

A method involving a processing center that calculates variance values and fractional parts of double-difference (DD) ambiguity values to assess reliability, constructing an optimal set of DD ambiguities for integer resolution, ensuring accurate and reliable corrections for precise point positioning.

Engineering Contradictions & Design Principles

VSEngineering Contradiction Analysis

1Measurement precision

If LAMBDA algorithm is used to resolve floating-point ambiguities to integer values, then positioning accuracy is improved, but computational complexity and processing time increase significantly

Engineering Contradiction:

Improvepositioning accuracyVSAvoidcomputational complexity

Core Design Contradiction:

Measurement precisionVSDevice complexity

Solution Approach 1:

The patent segments the ambiguity resolution process by separating the selection of candidate ambiguities from the resolution process. It divides the problem into identifying a subset of ambiguities with fractional parts close to 0.5 and resolving only those, rather than processing all floating-point ambiguities through the full LAMBDA algorithm.

Inventive Principle:

Principle #1Segmentation

Solution Approach 2:

The patent applies partial action by resolving only a subset of ambiguities that meet specific criteria (fractional part close to 0.5) rather than all ambiguities. This selective approach reduces computational burden while maintaining positioning accuracy for the critical cases.

Inventive Principle:

Principle #16Partial or excessive action

2Measurement precision

If LAMBDA algorithm is used for ambiguity resolution, then integer ambiguity values are obtained, but the processing time and computational resources increase

Engineering Contradiction:

Improveambiguity resolution accuracyVSAvoidconvergence time

Core Design Contradiction:

Measurement precisionVSLoss of time

Solution Approach 1:

The patent segments the ambiguity resolution process by separating the selection of candidate ambiguities from the resolution process. It divides the problem into identifying a subset of ambiguities with fractional parts close to 0.5 and resolving only those, rather than processing all floating-point ambiguities through the full LAMBDA algorithm.

Inventive Principle:

Principle #1Segmentation

Solution Approach 2:

The patent applies partial action by resolving only a subset of ambiguities that meet specific criteria (fractional part close to 0.5) rather than all ambiguities. This selective approach reduces computational burden while maintaining positioning accuracy for the critical cases.

Inventive Principle:

Principle #16Partial or excessive action

3Adaptability or versatility

If BIE algorithm is used to process multiple GNSS constellations, then more ambiguity candidates are available, but reliability of candidate selection decreases

Engineering Contradiction:

Improvemulti-constellation supportVSAvoidcandidate selection reliability

Core Design Contradiction:

Adaptability or versatilityVSReliability

Solution Approach 1:

The patent applies local quality by applying different selection criteria to different ambiguity candidates based on their individual characteristics. Specifically, it evaluates the fractional part of each ambiguity value and applies targeted resolution only to those with fractional parts close to 0.5, rather than treating all candidates uniformly.

Inventive Principle:

Principle #3Local quality

Solution Approach 2:

The patent changes the parameter used for candidate evaluation from considering all ambiguity values equally to focusing on the fractional part of the ambiguity values. This parameter change enables more reliable selection by identifying candidates with fractional parts close to 0.5, which are more likely to require integer resolution.

Inventive Principle:

Principle #35Parameter changes

Data Source

PatentUS20260023185A1Systems, methods, and media for resolving floating-point ambiguities to their correct integer values for use with a positioning technique

Publication Date: 2026.01.22 VERIPOS LTD

AI summary

Techniques are provided for resolving floating-point ambiguities (e.g., DD ambiguity values) to their correct integer for use with a positioning technique. In an embodiment, a variance value may be calculated for each of the plurality of DD ambiguity values which are results of the BIE algorithm. The variance values may be utilized to create a sorted list of the DD ambiguity values, where a lower variance value may be indicative of a more reliable DD ambiguity value. Each DD ambiguity value in the sorted list may be evaluated such that more reliable DD ambiguity values are evaluated first. An optimal set may be created that includes DD ambiguity values selected from the sorted list. Each selected DD ambiguity value may have a fractional part that is less than a threshold value and the optimal set may be independent with the selected DD ambiguity values.