# What is the link between a quadcopter transmitter pulse and the roll/pitch/yaw angles?

I want to design a data logger for my quadcopter using the Arduino Mega board. I want to record the roll, pitch and yaw angles each second or 5 seconds, so they can be viewed later after a flight has ended. There's just one thing I don't understand, and that's how to translate the pitch/roll/yaw angles into a pulse of a specific length that the flight controller receives.

For example, when I press the control for the pitch, the transmitter sends out a pulse to the receiver of the drone and the speed of the drones' motors change accordingly for it to pitch either forward or backward. I can tap into these commands between the flight controller and the transmitter, and be able to record the length of the pulse that was sent out. However, what is the link between the pitch angle and the size of the pulse? Basically, how can I convert the pulse that was recorded by the Arduino board and convert it into the pitch angle in degrees?

Generally, for the transmitter I use, a 1500us-pulse means zero pitch; from 1501-2000 means pitch forward, and from 1000-1499 means pitch backwards (of course, the actual values vary slightly, but this is just a general reference for this question). So for instance, if I sent a pulse of 1400us, how would that translate into an angle in degrees? What's the formula to convert it?

I hope I'm clear, and if this question sounds stupid, please excuse me, but I haven't been able to find good information on it!

Thanks!