Acceleration to Velocity by area integration

AI Thread Summary
The discussion focuses on integrating acceleration data from MEMS accelerometers to derive velocity. A referenced Freescale application note is critiqued for neglecting the sampling time in its area calculation formula. The original poster questions the accuracy of the formula provided, suggesting it should incorporate time more explicitly. There is confusion regarding the placement of parentheses in the formula, leading to concerns about its validity. The conversation emphasizes the importance of correctly accounting for time in the integration process to achieve accurate velocity calculations.
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I know this has been asked many times.
I am integrating acceleration data from MEMS accelerometer to get velocity.

I found an app note by freescale - http://cache.freescale.com/files/sensors/doc/app_note/AN3397.pdf

It ignores the sampling time to calculate the area.
The formula should be sample: Vx= V(x-1)+[N-(N-1) * T]. Right?
But the app note it is -
Vx = V(x-1)+N+[((N-(N-1))/2]

V(x-1) is the previous integration result.
 
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It ignores the sampling time to calculate the area.
... you still have to multiply by time somewhere.

N+[((N-(N-1))/2]
... nonsense: did you misplace a parenthesis?

N+[((N-(N-1))/2]=N+1/2
 

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