Perfect? I can't tell you that. But I can tell you that the 1s ADEV that I can measure is limited to the stability of the reference oscillator, and to the resolution and stability of the measuring device. For example, I have an HP 5370A TIC. It's good to about +/- 20ps. So, that's the lower limit on the 1s ADEVs that I can measure. Bob ----------------------------------------------------------------- AE6RV.com
GFS GPSDO list: groups.yahoo.com/neo/groups/GFS-GPSDOs/info From: Stewart Cobb <stewart.c...@gmail.com> To: time-nuts@febo.com Sent: Saturday, October 29, 2016 6:38 PM Subject: [time-nuts] theoretical Allan Variance question What's the expected value of ADEV at tau = 1 s for time-interval measurements quantized at 1 ns? This question can probably be answered from pure theory (by someone more mathematical than me), but it arises from a very practical situation. I have several HP5334B counters comparing PPS pulses from various devices. The HP5334B readout is quantized at 1 ns, and the spec sheet (IIRC) also gives the instrument accuracy as 1 ns. The devices under test are relatively stable. Their PPS pulses are all within a few microseconds of each other but uncorrelated. They are stable enough that the dominant error source on the ADEV plot out to several hundred seconds is the 1 ns quantization of the counter. The plots all start near 1 ns and follow a -1 slope down to the point where the individual device characteristics start to dominate the counter quantization error. One might expect that the actual ADEV value in this situation would be exactly 1 ns at tau = 1 second. Values of 0.5 ns or sqrt(2)/2 ns might not be surprising. My actual measured value is about 0.65 ns, which does not seem to have an obvious explanation. This brings to mind various questions: What is the theoretical ADEV value of a perfect time-interval measurement quantized at 1 ns? What's the effect of an imperfect measurement (instrument errors)? Can one use this technique in reverse to sort instruments by their error contributions, or to tune up an instrument calibration? I'd be grateful for answers to any of these questions. BTW, thanks to whichever time-nuts recommended the HP5334B, back in the archives; they're perfect for what I'm doing. And thanks to fellow time-nut Rick Karlquist for his part in designing them. Cheers! --Stu _______________________________________________ time-nuts mailing list -- time-nuts@febo.com To unsubscribe, go to https://www.febo.com/cgi-bin/mailman/listinfo/time-nuts and follow the instructions there. _______________________________________________ time-nuts mailing list -- time-nuts@febo.com To unsubscribe, go to https://www.febo.com/cgi-bin/mailman/listinfo/time-nuts and follow the instructions there.