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The latest version of MatrixPilot computes ground speed, wind speed, and air speed for a fixed wing aircraft without an airspeed sensor as follows:
1. Wind speed estimate is revised each time the plane changes direction, using the approach described here, which uses the turn to compute airspeed during the turn, and then computes windspeed from ground speed.
2. All of the time there is an accurate estimate of the ground speed vector by fusing the GPS, gyro, and accelerometer signals.
3. All of the time the airspeed vector is computed from the wind speed vector and ground speed vector.
So, the key is to compute the wind speed without winding up in a circular dependency of the computations.
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