Geomagnetic Orientation Correction Using Reference Sensor Quaternions
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Solution Overview
Problem
Magnetic sensors face challenges in providing accurate orientations due to spatial and temporal variations in the Earth's magnetic field, which are compounded by local anomalies and transient disturbances, leading to computational inefficiencies and performance issues in real-time applications.
Innovation Solution
Utilizing reference magnetic sensors to compute local adjustment factors, such as magnetic declination and inclination, and employing quaternions for orientation correction, which are continuously updated to compensate for both local and transient variations, ensuring accurate orientations.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Measurement precision
If traditional rotation matrices are used to represent and correct orientation, then orientation correction can be achieved, but computational complexity increases leading to inefficiencies in real-time applications
Solution Approach 1:
The patent changes the mathematical representation parameters from rotation matrices to quaternions. This parameter change maintains the ability to represent and correct orientation while significantly reducing computational complexity. Quaternions require fewer calculations for orientation correction and avoid the computational inefficiencies associated with matrix operations, enabling real-time application performance.
Solution Approach 2:
The patent substitutes the mathematical mechanism for orientation correction from rotation matrices to quaternions. This substitution maintains the functional capability of orientation correction while eliminating the computational overhead inherent in matrix-based systems. The quaternion-based approach provides a more efficient mathematical framework that reduces processing requirements.
2Measurement precision
If computational inefficiencies occur in portable systems, then orientation correction can still be performed, but power consumption increases and battery life decreases
Solution Approach 1:
The patent changes the computational parameters from rotation matrices to quaternions, which requires fewer computational operations. This parameter change directly reduces the energy required for each orientation correction calculation, thereby lowering overall power consumption in portable systems while maintaining correction accuracy.
Solution Approach 2:
The patent substitutes the computational mechanism from matrix operations to quaternion operations. This substitution reduces the computational load and energy requirements for orientation correction, addressing the power consumption issue in portable systems without sacrificing measurement precision.
3Reliability
If larger cooling and power solutions are implemented to address computational inefficiencies, then system reliability improves, but system weight increases
Solution Approach 1:
The patent changes the mathematical representation from rotation matrices to quaternions, which reduces computational requirements. This parameter change eliminates the need for oversized cooling and power solutions, thereby maintaining system reliability without the penalty of increased weight.
Solution Approach 2:
The patent substitutes the computational approach from matrix-based to quaternion-based orientation correction. This substitution reduces the thermal and power demands of the system, allowing for more compact and lighter cooling and power components while maintaining reliable operation.
Applied Scientific Principles
This section explains which scientific principles are used to turn an abstract innovation direction into a practical engineering solution.
Function Achieved in This Case
This approach provides accurate and efficient orientation corrections, reducing computational overhead and power consumption, and maintaining system performance in real-time applications.
Implementation Method 1
a reference magnetic sensor configured to detect components of a magnetic field at a first location and generate reference sensor signals
Implementation Method 2
operational sensor signals from an operational magnetic sensor configured to detect components of the magnetic field at a second location
Data Source
AI summary
Systems, methods, and devices for performing geomagnetic field distribution monitoring and correction. One system includes a reference magnetic sensor configured to detect components of a magnetic field at a first location and generate reference sensor signals, non-transitory computer-readable storage media storing instructions, and at least one electronic processor. The at least one electronic processor is configured to execute the instructions to receive the reference sensor signals from the reference magnetic sensor, compute a local adjustment factor based on the reference sensor signals, receive operational sensor signals from an operational magnetic sensor configured to detect components of the magnetic field at a second location, compute an orientation representation based on the operational sensor signals, and apply the local adjustment factor to the orientation representation to generate a corrected orientation representation.