Displacement from Acceleration data

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Main Question or Discussion Point

I was looking for some help on getting displacement from acceleration data (using an accelerometer). I found this old PF thread - https://www.physicsforums.com/archive/index.php/t-123128.html
I am familiar with the double integration/trapezoidal integration. It isn't much help.
The FFT method seems interesting. I don't understand it though.
Is there an explanation of this method. Does it have a name.

Please see FFT method mention by wolfpackdiver in the link above -
1. Remove the mean from the accel. data
2. Take the Fourier transform (FFT) of the accel. data.
3. Convert the transformed accel. data to displacement data by dividing each element by -omega^2, where omega is the frequency band.
4. Now take the inverse FFT to get back to the time-domain and scale your result.
 

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