Triple Phase Difference Positioning Without Integer Bias
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Solution Overview
Problem
Conventional positioning devices using double phase difference of carrier phase require integer bias calculation, which is challenging and degrades positioning accuracy if not accurately calculated.
Innovation Solution
A positioning device that calculates and uses triple phase differences, eliminating the need for integer bias calculation, and allows for extended time periods and varying addition times for each satellite combination, enabling accurate relative positioning without integer bias.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Measurement precision
If double phase difference of carrier phase is used for positioning, then positioning accuracy can be improved, but integer bias calculation becomes necessary which increases device complexity and may degrade accuracy
Solution Approach 1:
The patent changes the parameter from double phase difference to triple phase difference, which fundamentally eliminates the need for integer bias calculation. By using three different time points instead of two, the system creates an additional degree of freedom that allows the integer bias to be eliminated mathematically, thus resolving the contradiction between accuracy improvement and calculation complexity.
2Measurement precision
If triple phase difference is used to eliminate integer bias, then positioning accuracy is maintained without integer bias calculation, but the calculation method becomes more complex
Solution Approach 1:
The patent extracts and eliminates the problematic integer bias component from the positioning calculation by introducing a third time point. The triple phase difference formulation mathematically removes the integer bias term, keeping only the continuous phase difference information that is useful for positioning, thus achieving accuracy without the complexity of integer bias resolution.
3Reliability
If carrier phase detection fails during certain periods, then positioning accuracy may be affected, but using triple phase difference allows extending the adding period by utilizing successful detections across multiple periods
Solution Approach 1:
The patent employs periodic action by utilizing carrier phase detections from multiple different time periods. When detection fails in one period, the system can still accumulate valid observations from other periods, making the positioning system more robust to temporary detection failures and reducing the impact of time loss.
4Ease of operation
If the same adding time period is used for all satellite combinations, then processing is simplified, but positioning accuracy may be limited by the constraints of a single time window
Solution Approach 1:
The patent applies local quality by allowing different adding time periods for different satellite combinations. Each satellite pair can have its own optimized time window based on signal quality, geometric distribution, and detection success, thereby improving overall positioning accuracy while maintaining reasonable processing complexity through selective customization.
Data Source
AI summary
The purpose is to achieve accurate positioning without calculating an integer bias. A positioning device may include a positioning signal receiver, a triple phase difference calculating module, a triple phase difference adding module, and a positioning module. The positioning signal receiver may detect carrier phases of positioning signals from a plurality of positioning satellites. The triple phase difference calculating module may calculate a triple phase difference based on the carrier phases. The triple phase difference adding module may add the plurality of triple phase differences calculated in different periods. The positioning module may perform relative positioning using an added value of the triple phase differences as an observation value.