[kragen]

yes! but also keep in mind that 1/s is never 0 for any finite s, so even at high frequencies the error resulting from random noise is never zero, it's just strongly attenuated

[KK7NIL]

That's right but "the Bode plot of an integrator is a line with a -20 dB/decade slope" doesn't really roll off the tongue ;)

[kragen]

it's implicit in this comment by kens though:

> if you buy a commercial-grade gyroscope for [us]$10, it will have a random walk error of several º/√h. So after summing the errors for an hour, you're left with several degrees of random error, which is bad. If you spend [us]$100,000 on a navigation-grade gyroscope, you'll get a random walk error < 0.002º/√h, which is much better.

if the slope was anything else, the unit of °/√h wouldn't make sense; it would have to be °/h or °/∛h or something. similarly for noise figures given in nanovolts/√Hz