Calibrating sensor unit orientation for use in a vehicle monitoring system

1. A system configured to calibrate orientation of an accelerometer in a vehicle that includes a sensor set, wherein the sensor set is configured to generate output signals conveying vectors of acceleration of the vehicle, wherein the sensor set has a three-dimensional orientation in relation to the vehicle, the system configured to couple with the vehicle, the system comprising:

one or more processors configured to:

determine a gravity vector, wherein the determination of the gravity vector is based on the output signals generated by the sensor set, and wherein the determination of the gravity vector is further based on a determination that the vehicle is stopped;

perform a comparison of a rate of acceleration of the vehicle with a threshold level of acceleration to determine whether a magnitude of the rate of acceleration of the vehicle has exceeded the threshold level of acceleration such that the magnitude of the rate of acceleration of the vehicle is sufficient to assume the vehicle is not turning left or right but moving straight;

determine the vehicle is longitudinally accelerating and not turning left or right, wherein the determination is based on the comparison of the rate of acceleration of the vehicle with the threshold level of acceleration, wherein the magnitude of the rate of acceleration of the vehicle has exceeded the threshold level of acceleration;

subsequent to the determination that the vehicle is longitudinally accelerating, determine a longitudinal vector of the vehicle based on the generated output signals; and

determine the three-dimensional orientation of the sensor set in relation to the vehicle, wherein determination of the three-dimensional orientation is based on the gravity vector and the longitudinal vector.

2. The system of claim 1 , wherein the one or more processors are further configured to:

convert output signals generated by the sensor set into one or more vectors of acceleration of the vehicle, wherein conversion is based on the three-dimensional orientation of the sensor set in relation to the vehicle.

3. The system of claim 2 , wherein conversion of the output signals includes multiplication of the output signals of the sensor set with an inverted rotation matrix.

4. The system of claim 1 , wherein the determination that the vehicle is stopped is based on a signal generated by a speed sensor of the vehicle, wherein the speed sensor is included in the sensor set of the vehicle.

5. The system of claim 1 , wherein the rate of acceleration of the vehicle is determined based on a signal generated by a speed sensor of the vehicle, wherein the speed sensor is included in the sensor set of the vehicle.

6. The system of claim 1 , wherein the determination that the magnitude of the rate of acceleration of the vehicle has exceeded the threshold level of acceleration is further based on a determination that the magnitude of the rate of acceleration has exceeded the threshold level for at least a specified duration.

7. The system of claim 1 , wherein the threshold level corresponds to at least 0.1 g.

8. The system of claim 1 , wherein determining the longitudinal vector includes a subtraction of the gravity vector from a current acceleration vector during a duration when the vehicle has been determined to be longitudinally accelerating.

9. The system of claim 1 , wherein the one or more processors are further configured to:

determine a lateral vector that is orthogonal to both the gravity vector and the longitudinal vector;

construct a rotation matrix based on the gravity vector, the longitudinal vector, and the lateral vector; and

invert the rotation matrix,

wherein determining the three-dimensional orientation of the sensor set in relation to the vehicle is based on the inverted rotation matrix.

10. The system of claim 9 , wherein determination of the lateral vector includes normalization of the longitudinal vector and performance of a cross product of the gravity vector and the longitudinal vector.

11. The system of claim 1 , wherein determination of the gravity vector is performed more than twice and results of the determination are aggregated.

12. The system of claim 1 , wherein determination of the longitudinal vector is performed repeatedly for a duration spanning at least 10 minutes and results of the determination are aggregated.

13. The system of claim 1 , wherein the vectors of acceleration of the vehicle include three orthogonal vectors of acceleration.

14. The system of claim 1 , wherein the sensor set includes the accelerometer.

15. The system of claim 1 , wherein the sensor set includes the accelerometer and a magnetometer.

16. The system of claim 1 , wherein the sensor set includes a three-axis accelerometer, a three-axis magnetometer, and a three-axis gyroscope.

17. A method to calibrate orientation of an accelerometer in a vehicle that includes a sensor set, wherein the sensor set generates output signals conveying vectors of acceleration of the vehicle, wherein the sensor set has a three-dimensional orientation in relation to the vehicle, the method comprising:

determining a gravity vector, wherein the determination of the gravity vector is based on the output signals generated by the sensor set, and wherein the determination of the gravity vector is further based on a determination that the vehicle is stopped;

performing a comparison of a rate of acceleration of the vehicle with a threshold level of acceleration to determine whether a magnitude of the rate of acceleration of the vehicle has exceeded the threshold level of acceleration such that the magnitude of the rate of acceleration of the vehicle is sufficient to assume the vehicle is not turning left or right but moving straight;

determining the vehicle is longitudinally accelerating and not turning left or right, wherein the determination is based on the comparison of the rate of acceleration of the vehicle with the threshold level of acceleration, wherein the magnitude of the rate of acceleration of the vehicle has exceeded the threshold level of acceleration;

subsequent to the determination that the vehicle is longitudinally accelerating, determining a longitudinal vector of the vehicle based on the generated output signals; and

determining the three-dimensional orientation of the sensor set in relation to the vehicle, wherein determining the three-dimensional orientation is based on the gravity vector and the longitudinal vector.

18. The method of claim 17 , further comprising:

converting output signals generated by the sensor set into one or more vectors of acceleration of the vehicle, wherein conversion is based on the three-dimensional orientation of the sensor set in relation to the vehicle.

19. The method of claim 18 , further comprising:

determining a lateral vector that is orthogonal to the gravity vector and the longitudinal vector;

constructing a rotation matrix based on the gravity vector, the longitudinal vector, and the lateral vector; and

inverting the rotation matrix,

wherein determining the three-dimensional orientation of the sensor set in relation to the vehicle is based on the inverted rotation matrix, and

wherein converting the output signals includes multiplying the output signals of the sensor set with the inverted rotation matrix.

20. The method of claim 17 , wherein the determination that the vehicle is stopped is based on a signal generated by a speed sensor of the vehicle, wherein the speed sensor is included in the sensor set of the vehicle, wherein the rate of acceleration of the vehicle is determined based on the signal generated by the speed sensor of the vehicle, and wherein the determination that the magnitude of the rate of acceleration of the vehicle has exceeded the threshold level of acceleration is further based on a determination that the magnitude of the rate of acceleration has exceeded the threshold level for at least a specified duration.