Q about noise in time interval measurement averging



Hi,
I have a PIC measuring a time interval to 25ns resolution,
the interval is totaly asynchronous to the PIC clock.

So say if I average over 25000 measurements that will give me a limit of 1ps
resolution.

Im trying to do a system noise analysis and im wondering how to work this
out,
I cant seem to recall how the noise reduces with increasing samples,
is it 1/samples ? this would be too good to be true,
or 1/sqrt(samples) this seems rather low.

there is also a lot of noise in the signal as it is from an optical encoder,
seems mostly mechanical, I need to reduce this by averaging over a long time
too.

Im trying to work out the optimum rate of pulses per revolution to use.

thanks
Colin =^.^=


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