Position Calculation Device Eliminating Time Error via Convergence
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Solution Overview
Problem
Existing position calculating devices using GPS face challenges in accurately determining user position due to time errors, especially in environments with weak satellite signal reception, where clock bias and time errors complicate pseudo distance calculations, affecting the accuracy of position calculations.
Innovation Solution
A method and device that calculate satellite information, including position, speed, and direction, to eliminate time errors by setting up simultaneous equations using convergence calculations with reference satellites, reducing the number of unknown quantities and operations, and considering speed and clock bias components in the time error calculation.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Measurement precision
If synchronization with GPS satellite signal is used to address time error, then time accuracy is improved, but position calculation accuracy deteriorates in environments with weak satellite signal reception
Solution Approach 1:
The patent extracts and eliminates the time error term from the position calculation system by formulating it as a separate unknown quantity that can be solved independently through simultaneous equations, rather than relying on GPS signal synchronization. This allows position calculation to proceed without requiring accurate time synchronization from weak satellite signals.
Solution Approach 2:
The patent changes the parameter handling approach by treating time error as a solvable unknown parameter rather than a fixed synchronization requirement. By incorporating time error into the system of equations and solving for it alongside position parameters, the method transforms a synchronization dependency into a mathematical solution problem.
2Ease of operation
If time error is calculated as an unknown quantity using existing methods, then position calculation can proceed, but the number of unknown quantities and operational complexity increase
Solution Approach 1:
The patent merges the time error calculation with the position calculation by formulating simultaneous equations that solve for both position parameters and time error together. This unified approach eliminates the need for separate time error correction steps, reducing overall operational complexity while maintaining calculation feasibility.
Data Source
AI summary
Position calculating methods and devices are described. Satellite information may be calculated, which includes satellite position, satellite movement speed, and satellite movement direction of a positioning satellite. A pseudo distance between the positioning satellite and a user may be calculated based on a satellite signal received from the positioning satellite. The position of the user may be calculated using the satellite information and the pseudo distance in executing a convergence calculation with positioning information for a reference satellite, thereby eliminating a time error term from unknown quantities.