Device and method for using time rate of change of sensor data to determine device rotation
A computer-implemented method for determining rotational rate of a computer system programmed to perform the method includes determining in a physical perturbation sensor in the computer system, a plurality of instantaneous field measurements with respect to a reference field, at a first time and a second time, determining in the computer system, a plurality of rates of change associated with the physical perturbation sensor in response to the plurality of instantaneous field measurements at the first time and the second time, determining in the computer system, an plurality of estimated rotational rates for the computer system in response to the plurality of rates of change, and performing in the computer system, an operation in response to the plurality of estimated rotational rates.
1. A method for determining an angular rate of change of a rotational vector of a handheld device, comprising:
measuring, using an accelerometer in the handheld device, a first gravity field measurement at a first time and a second gravity field measurement at a second time;
measuring, using a magnetometer in the handheld device, a first magnetic field measurement at a first time and a second magnetic field measurement at a second time;
computing, in the handheld device, a first rotation vector based on the first gravity field measurement and the second gravity field measurement;
computing, in the handheld device, a first angular rate of change based on the first rotation vector, the first time, and the second time;
computing, in the handheld device, a second rotation vector based on the first gravity field measurement and the second gravity field measurement;
computing, in the handheld device, a second angular rate of change based on the second rotation vector, the first time, and the second time; and
computing a combined angular rate of change based on the first angular rate of change and the second angular rate of change, without gyroscopic measurement.
2. The method of claim 1 , further comprising:
computing a vertical component of the first angular rate of change based on accelerometer measurement; and
computing a horizontal component of the second angular rate of change based on magnetometer measurement.
3. The method of claim 2 , further comprising computing a combined angular rate of change based on the vertical component of the first angular rate of change and the horizontal component of the second angular rate of change, without gyroscopic measurement.
4. The method of claim 1 , further comprising:
measuring the first gravity field measurement and the second gravity field measurement with respect to a gravity field; and
measuring the first magnetic field measurement and the second magnetic field measurement with respect to a magnetic field.
5. The method of claim 1 , further comprising providing the combined angular rate of change as input to one or more of games, applications, and updating a display of the handheld device.
6. A handheld device, comprising:
a processor;
an accelerometer;
a magnetometer; and
a display;
wherein the handheld device is configured to determine an angular rate of change of a rotational vector of the handheld device without gyroscopic measurement, by:
measuring, using an accelerometer in the handheld device, a first gravity field measurement at a first time and a second gravity field measurement at a second time;
measuring, using the magnetometer in the handheld device, a first magnetic field measurement at a first time and a second magnetic field measurement at a second time;
computing, in the handheld device, a first rotation vector based on the first gravity field measurement and the second gravity field measurement;
computing, in the handheld device, a first angular rate of change based on the first rotation vector, the first time, and the second time;
computing, in the handheld device, a second rotation vector based on the first gravity field measurement and the second gravity field measurement;
computing, in the handheld device, a second angular rate of change based on the second rotation vector, the first time, and the second time; and
computing a combined angular rate of change based on the first angular rate of change and the second angular rate of change, without gyroscopic measurement.
7. The handheld device of claim 6 , wherein the handheld device is configured to:
compute a vertical component of the first angular rate of change based on accelerometer measurement; and
compute a horizontal component of the second angular rate of change based on magnetometer measurement.
8. The handheld device of claim 7 , wherein the handheld device is configured to compute a combined angular rate of change based on the vertical component of the first angular rate of change and the horizontal component of the second angular rate of change, without gyroscopic measurement.
9. The handheld device of claim 6 , wherein the handheld device is configured to:
measure the first gravity field measurement and the second gravity field measurement with respect to a gravity field; and
measure the first magnetic field measurement and the second magnetic field measurement with respect to a magnetic field.
10. The handheld device of claim 6 , wherein the handheld device is configured to provide the combined angular rate of change as input to one or more of games, applications, and updating a display of the handheld device.