Relative Angle Estimation via Accelerometer-Gyroscope Fusion

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Solution Overview

Problem

Existing methods for estimating the relative angle between a person's heading and a mobile device's heading lack accuracy, particularly for certain applications.

Innovation Solution

Combining estimates from a multi-axis accelerometer and a multi-axis gyroscope using Kalman filtering to improve signal-to-noise ratio and accuracy, with the accelerometer model determining step-related velocities and the gyroscope model estimating axis rotation, and projecting onto a ground plane to calculate the relative angle.

Engineering Contradictions & Design Principles

VSEngineering Contradiction Analysis

1Measurement precision

If accelerometer readings are used to estimate relative angle, then the system can operate with simple sensors, but the measurement precision is insufficient due to noise in accelerometer data

Engineering Contradiction:
Improverelative angle estimation accuracyVSAvoidnoise in accelerometer measurements
Core Design Contradiction:
Measurement precisionVSObject-affected harmful factors

Solution Approach 1:

The patent combines accelerometer data and gyroscope data through integration and Kalman filtering to estimate relative angle. The accelerometer provides step-related velocity information while the gyroscope provides rotation axis information, and merging these complementary data sources improves measurement precision while compensating for the noise in individual sensors

Inventive Principle:
Principle #5Merging (Combining)

Solution Approach 2:

The patent introduces an intermediary processing stage that integrates accelerometer readings over step cycles and uses gyroscope data as a reference. This intermediary processing filters noise by integrating over multiple samples and using gyroscope measurements to correct drift, thereby improving the final relative angle estimation accuracy

Inventive Principle:
Principle #24Intermediary (Mediator)

2Measurement precision

If gyroscope data is used to reduce measurement noise, then the measurement precision improves, but the device complexity increases due to requiring multiple sensor types and complex signal processing

Engineering Contradiction:
Improverelative angle estimation accuracyVSAvoidsensor combination and signal processing complexity
Core Design Contradiction:
Measurement precisionVSDevice complexity

Solution Approach 1:

The patent segments the relative angle estimation into two distinct components: one derived from accelerometer data (step-related velocities) and another from gyroscope data (axis rotation). This segmentation allows each sensor to be processed independently through specialized algorithms before being combined, making the complex processing more manageable and systematic

Inventive Principle:
Principle #1Segmentation

Solution Approach 2:

The patent implements feedback through Kalman filtering, where the gyroscope measurements serve as feedback to correct the accelerometer-based estimates. The filter continuously adjusts the relative angle estimation by comparing predicted values from accelerometer integration with actual gyroscope measurements, reducing noise while maintaining computational efficiency

Inventive Principle:
Principle #23Feedback

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 a high-accuracy estimation of the relative angle by integrating noisy accelerometer data and using gyroscope data to reduce measurement noise, enhancing the precision of heading alignment between a person and their mobile device.

Implementation Method 1

estimating horizontal acceleration of the mobile device in first and second orthogonal directions when the person is walking or running based on samples from the multi-axis accelerometer

Methodology Applied
Scientific EffectAcceleration measurement: Accelerometer

Implementation Method 2

estimating an axis that the mobile device is rotating about with respect to pendulous motion

Methodology Applied
Scientific EffectRotational motion detection: Gyroscope

Data Source

PatentEP3227634B1Method and system for estimating relative angle between headings
Publication Date: 2020.07.29 ASCOM SWEDEN
  • EP3227634B1 patent drawingFigure 1~3
  • EP3227634B1 patent drawingFigure 4~5
  • EP3227634B1 patent drawingFigure 6~7

AI summary

The present invention relates to a method for estimating a relative angle (θ) between heading (X10) of a person (10) and heading (X12) of a mobile device (12) carried by the person, which method comprises: determining a first estimate of the relative angle using a multi-axis accelerometer (18) of the mobile device; determining a second estimate of the relative angle using a multi-axis gyroscope (20) of the mobile device; and combining the first estimate and the second estimate to a combined estimate of the relative angle (θ) between the person's heading and the mobile device's heading. The present invention also relates to a system for estimating a relative angle (θ) between heading (X10) of a person (10) and heading (X12) of a mobile device (12) carried by the person.