Methods and apparatus for assessing tire health through monitoring effective tire rolling radius

1. A method comprising:

obtaining velocity data for a vehicle from a global positioning system;

obtaining angular speed data for a wheel of the vehicle from a wheel speed sensor;

processing the velocity data and the angular speed data using a digital filter;

determining an effective rolling radius of a tire coupled to the wheel based on the processed velocity data and angular speed data;

determining an unloaded radius of the tire based on the effective rolling radius;

synchronizing the velocity data and the angular speed data prior to determining the effective rolling radius of the tire, wherein synchronizing the velocity data and the angular speed data includes time shifting the angular speed data based on a latency of global positioning system data;

determining a condition of the tire based on the effective rolling radius; and

indicating the condition of the tire to a driver via a display of the vehicle.

2. The method of claim 1 , wherein the digital filter uses a linear estimation algorithm.

3. The method of claim 2 , wherein the linear estimation algorithm implements at least one of a Kalman filter, a batch least squares filter, and a recursive least squares filter.

4. The method of claim 1 , wherein determining the condition of the tire includes determining an amount of wear of the tire.

5. The method of claim 1 , wherein determining the condition of the tire includes determining a pressure of the tire.

6. The method of claim 1 , wherein the unloaded radius of the tire is further based on a measured pressure of the tire.

7. The method of claim 1 further including determining a tire deflection, wherein the tire deflection is based on a pressure, a load, and a type of the tire.

8. The method of claim 1 further including determining a tread depth of the tire based on the unloaded radius.

9. The method of claim 1 further including determining a remaining useful life of the tire based on the unloaded radius.

10. An apparatus comprising:

a global positioning system module;

a wheel speed sensor;

a processor to:

obtain velocity data for a vehicle from the global positioning system module;

obtain angular speed data for a wheel of the vehicle from the wheel speed sensor;

process the velocity data and the angular speed data using a linear estimation filter;

determine an effective rolling radius based on the processed velocity data and angular speed data;

determine an unloaded radius of a tire of the wheel based on the effective rolling radius;

synchronize the velocity data and the angular speed data prior to determining the effective rolling radius of the tire by time shifting the angular speed data based on a latency of global positioning system data; and

determine a condition of a tire based on the effective rolling radius; and a display, wherein the condition of the tire is indicated to a driver via the display.

11. The apparatus of claim 10 , wherein the processor is to further determine an amount of wear experienced by the tire.