For real-time implementation for a device, I have theta which is the pitch angle and I have a built in accelerometer in the device. To get the angular acceleration of theta could I take the second derivative of theta or I have to take it from the accelerometer only?
Please elaborate more. How do you measure changes of theta? By accelerometer you mean an IMU sensor with a gyroscope that measures angular rate or are you only measuring linear acceleration? What type of movements are you recording: is it only rotation or does your device perform a translation as well?
In any case, double differentiating theta and single differentiating angular rate should return very similar results if both of them are measured around the same axis.
There is an IMU sensor with a gyroscope that measures angular rate. And the type of movement is only rotational no translational. Therefore, from a real-time point of view, are (double differentiation theta) and (the output of the IMU sensor with a gyroscope) should return similar results (the angular rate)?
Thank you Michael Short for your reply but if I want to obtain the angular acceleration of Theta (Theta_dot_dot), from your point of view and real-time point of view, which one better to choose, the second derivative of angular position or the output of accelerometer?
Yes, double differentiation of the theta should be very close to the IMUs angular acceleration. Choose the one with the highest sampling rate and accuracy.
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