# Figuring out MEMS gyroscope measurement's standard deviation from data sheet

Is it possible to figure out standard deviation of Invensense ISZ500 / IDG500 MEMS gyroscope angular velocities measurement $\mu$ from datasheet? I'm guessing, if at all, the necessary data are provided on pages 8-9 of the datasheet.

I'd like to model gyroscopic measurement using the formula:

$\bar{\Omega} = \Omega + b + \mu \in \Re^3$ (1),

where $\Omega$ denotes the true value, $\mu$ denotes additive measurement noise (meaning the standard deviation I'd like to model) and $b$ denotes a constant (or slowly time-varying) gyro bias, as defined in the paper "Non-linear complementary filters on the special orthogonal group" by Robert Mahony et al.

Regards.

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I'm not sure what exactly you are looking for, there is a noise over a 1-1k Hz bandwidth of .5 mV rms (typical). My experience is that numbers in datasheets from small companies should be taken with a grain of salt. Also, this is really not the right forum for such questions. Perhaps the electronics section? –  copper.hat Jul 26 '12 at 7:47
Possibly wrong forum, but right answer (comment), I'm guessing. So $0.5mV$ noise at sensitivity of $2.0 mV/^\circ/s$ would give a standard deviation of $0.25 ^\circ/s = 0.00436 rad/s$, which sounds reasonable. I'll go with that - thank you @copper.hat. Please answer the question pointing to your comment as answer so I can accept it. –  mmm Jul 26 '12 at 7:58