I don't agree with the statement about meter pricing:
> One can buy 5 digit LED meters on ebay for $5 each +shipping.
The lowest cost "5 digit" voltmeter I can find listed on any site is the AN870, 
which is sold for a multiple of 5X to 9X of the price you quote. I can find no 
published accuracy specifications for that model. And I'm not sure why "LED" 
meters were specified, since various display technologies are used in 
commercial meters. In my experience, most 5 digit meters will have some type of 
LCD display.

In contemplating the results of voltage measurements taken at different times, 
we need to be careful about confusing several terms which often get thrown 
around.

Accuracy - This is a catch-all term which should only be trusted after you read 
all the footnotes. If there are no footnotes you should not not trust the 
claimed accuracy. Factors which should be fully declared include temperature, 
humidity, and time after calibration at a standards lab.

Resolution - You would thing this term would be easy to interpret, but for 
digital voltmeters that's not the case. You might find several different meters 
which all appear to have 5 displayed digits, but the maximum reading on these 
different meters (including a comma to make it easier to interpret) might be: 
10,000
11,999
19,999
29,999
99,999
So some might claim that all of these have "5 digit" displays, while the 
effective resolution on some is only 1 part in 10^4 for positive values. The 
industry has marketing terms such as "4.5 digit" which I won't go into here. 
There is also no guarantee based on the number of displayed digits that the 
resolution is truly one digit and monotonic. So a slowly increasing voltage 
might display this display over time:
0.00
0.02
0.01
0.04
0.03
0.05
That shows a display which appears to have 10 mV raw resolution, but the 
response is not monotonic or it includes some noise. It's common for high 
resolution ADC and DAC IC's to exhibit a small amount of mon-monotonic 
behavior. In many cases noise causes products to be specified as +/- 1 or +/- 2 
digits around the expected value, and that noise might largely hide the 
non-monotonic behavior.

Uncertainty - You can speak of absolute and relative uncertainty due to both 
systematic and random error sources. For example, your "5 digit" meter might 
show a 2.0000 V reading on January 1 and 2.0020 V on July 1 on a source which 
is known to be stable to 1 ppm (1 x 10^-6) relative accuracy over that time 
range and changes in ambient conditions. The difference in the readings might 
be due to drift over time (which might vary as time proceeds in direction and 
slope due to aging), temperature or humidity changes, or other sources of drift 
which can't be determined. I'm describing test instrument errors which many 
users don't understand because they have never carefully read the 
specifications section of the manual.

The suggestion of using multiple low cost meters doesn't help. There is no 
reason to believe that the multiple results will be correlated or uncorrelated 
with respect to time, temperature, humidity, or unknown factors. For example, 
if you had 4 meters and they all showed identical readings of 2.0000 V at 9 AM 
and 2.0020 V at 4 PM, the actual voltage might have decreased over that time 
interval but the room temperature increased by 5 C and the meters all responded 
identically to that change. Don't assume that all of those digits can be 
trusted!

If you measure the EFC voltage (part of a feedback loop) driving a varicap 
(varactor or variable capacitance diode) in an OCXO every other day and find 
that it's changing over time, your results could be due to:
(1) The DVM is not stable to that degree of uncertainty.
(2) The varicap is not stable to that degree of uncertainty. It might drift due 
to aging, temperature, mechanical stresses, air pressure. The sensitivity of 
the varicap to EFC voltage changes might change over time due to various 
factors.
(3) The crystal itself might be aging or drifting due to environmental effects.
(4) The oven or associated circuitry might be drifting due to aging or an 
environmental effect. For example, there might be a resistive network between 
the EFC test point and the varicap diode. Any change in that network might 
cause the EFC voltage required to keep the OCXO on frequency to change.
(5) Power supplies might be drifting over time or due to environmental changes.
(6) The frequency you are locking to might be changing.
(7) You might be improperly probing the system with your meter -- more on that 
below.

My point is that the EFC voltage measured on a real meter may drift over time 
due to various effects. As long as the range of EFC voltages exhibited are well 
within the allowable control range of both the EFC generating circuit and the 
frequency control device (such as a varicap), there should be no reason for 
concern. 

For example, if the EFC voltage changes by 1 mV as the temperature drops 10C, 
you might assume that the oven temperature combined with the temperature 
coefficient of the crystal is causing that change. But the true cause of the 
measurement change might be the temperature or humidity coefficient of the 
meter, or placing the low meter test lead on the metal chassis without 
realizing that the oven current flows through a wire with 10 m ohm resistance 
to chassis ground, so that a 100 mA increase in oven heater current causes that 
1 mV EFC change due only to your improper meter probing. The feedback loop 
corrects properly even with that ground loop offset, but you can't assume that 
the EFC voltage change is related to changes in the crystal temperature.

Sorry for the long dissertation. I worked at an electronic calibration lab for 
4 years, designed some test equipment, and worked as an Application Engineer in 
test equipment sales for 32 years before retiring late last year. 
Unfortunately, it's common for users to improperly assume that the reading 
displayed on the test instrument is the actual precise value of the device 
under test.
--
Bill Byrom N5BB



On Sat, Sep 5, 2020, at 2:33 PM, Perry Sandeen via time-nuts wrote:
> Learned members,
> Wrote: 
> Well, I could measure the EFC voltage every other day and if it'schanging, 
> then it's the OCXO that’s drifting, if not (or not inaccordance to the DAC 
> graph) it's the DAC itself.
> 
> One can buy 5 digit LED meters on ebay for $5 each +shipping.
> 
>  While I wouldn't necessarily trust their accuracy, at that price one could 
> buy 3 or 4 and continuously measure  several variables.
> Regards,
> Perrier
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