System and method for determining a spin axis of a sports ball

1. A method for determining a spin axis of a sports ball, comprising:

transmitting a signal, via a first radar, into a target area into which the sports ball is to be launched, the first radar including three receivers arranged so that a minimum of three receivers are not co-linear, the signal being reflected back to the receivers by the sports ball;

receiving, by the first radar, the reflected signal via the receivers;

performing a frequency analysis on the reflected signal received by the first radar at a first point in time to determine a frequency spectrum comprising a range of frequencies received by the first radar corresponding to differing velocities relative to the radar of different portions of the sports ball as the sports ball is spinning;

separating the determined frequency spectrum into a plurality of frequency components;

determining an angular position corresponding to each of the frequency components and identifying as a projection of the spin axis of the sports ball onto a plane perpendicular to a line of sight from the first radar to the sports ball, a line perpendicular to a line represented by the determined angular positions; and

performing a motion compensation of the received signal to subtract the average motion of the sports ball from the signal.

2. A method for determining a spin axis of a sports ball, comprising:

transmitting a signal, via a first radar, into a target area into which the sports ball is to be launched, the first radar including three receivers arranged so that a minimum of three receivers are not co-linear, the signal being reflected back to the receivers by the sports ball;

receiving, by the first radar, the reflected signal via the receivers;

performing a frequency analysis on the reflected signal received by the first radar at a first point in time to determine a frequency spectrum comprising a range of frequencies received by the first radar corresponding to differing velocities relative to the radar of different portions of the sports ball as the sports ball is spinning;

separating the determined frequency spectrum into a plurality of frequency components; and

determining an angular position corresponding to each of the frequency components and identifying as a projection of the spin axis of the sports ball onto a plane perpendicular to a line of sight from the first radar to the sports ball, a line perpendicular to a line represented by the determined angular positions, wherein each of the frequency components is associated with a velocity contour line on the surface of the ball, the velocity contour lines corresponding to a plurality of reflection points on the surface of the spinning ball with the same relative velocity, and wherein the angular position associated with each of the frequency components is determined based on a phase shift detected between signals received by a first pair of the receivers of the first radar and signals received by a second pair of the receivers of the first radar.

3. The method of claim 2 , wherein the motion compensation centers the received signal around 0 Hz.

4. The method of claim 2 , further comprising averaging the locations positioned on each contour line to define a point within the corresponding plane, the set of points from each velocity contour line corresponding to a line perpendicular to the spin axis.

5. The method of claim 2 , further comprising calculating a three-dimensional spin axis by determining a first projection of the spin axis at a first point in time and then calculating an additional first projection of the spin axis at a second time and combining the first and second projections to determine a three-dimensional spin axis of the sports ball.

6. The method of claim 2 , further comprising identifying a three-dimensional spin axis orientation by determining the principal axis from multiple radars at a same point in time.

7. The method of claim 2 , further comprising identifying a three-dimensional spin axis orientation from the spin axis half plane in combination with a predetermined amount of rifle spin from a separate source.

8. The method of claim 2 , wherein the received signal is separated into frequency components using the Short Time Fourier Transformation.

9. A method for determining a spin axis of a sports ball, comprising:

transmitting a signal, via a first radar, into a target area into which the sports ball is to be launched, the first radar including three receivers arranged so that a minimum of three receivers are not co-linear, the signal being reflected back to the receivers by the sports ball;

receiving, by the first radar, the reflected signal via the receivers;

performing a frequency analysis on the reflected signal received by the first radar at a first point in time to determine a frequency spectrum comprising a range of frequencies received by the first radar corresponding to differing velocities relative to the radar of different portions of the sports ball as the sports ball is spinning;

separating the determined frequency spectrum into a plurality of frequency components;

determining an angular position corresponding to each of the frequency components and identifying as a projection of the spin axis of the sports ball onto a plane perpendicular to a line of sight from the first radar to the sports ball, a line perpendicular to a line represented by the determined angular positions;

transmitting via a second radar a signal into the target area, the second radar including a minimum of three receivers arranged so that two pairs of receivers are not co-linear; and

receiving data from the second radar and determining a second radar range of frequencies received at the first point in time corresponding to differing velocities relative to the second radar of different portions of the ball as the ball is spinning, the processing unit dividing the second radar frequency range into a plurality of frequency components and calculating, for each of the frequency components, an angular position associated with each of the frequency components, the processing unit identifying as a second projection of the spin axis in a plane perpendicular to a line of sight from the second radar to the sports ball a line perpendicular to a line represented by the determined angular positions and calculating, based on the first and second projections of the spin axis, a three dimensional spin axis of the sports ball.

10. The method of claim 9 , further comprising estimating characteristics of the trajectory of the sports ball based on the first projection of the spin axis without calculating a three-dimensional spin axis for the sports ball.

11. The method of claim 10 , further comprising transforming the identified spin axis into real-world coordinates.

12. A method for determining a spin axis of a sports ball, comprising:

transmitting a signal, via a first radar, into a target area into which the sports ball is to be launched, the first radar including three receivers arranged so that a minimum of three receivers are not co-linear, the signal being reflected back to the receivers by the sports ball;

receiving, by the first radar, the reflected signal via the receivers;

determining an angular position of the sports ball relative to the first radar; and

performing a frequency analysis on the reflected signal received by the first radar and, based on the frequency analysis, calculating a derivative of phase differences observed at the receivers with respect to frequency and, based on this derivative and the angular position of the sports ball, identifying a principle axis of rotation of the sports ball.