Matthias,
Thanks for posting the raw data. You mention that both channels get the
same signal and so you expect a sqrt(2) improvement in noise
measurement. But consider...
1) sqrt(2) is only valid if both channels are equal to begin with. Plot
the ADEV of chA and chB and you'll see this isn't quite the case. It's
close, but not the same, so your improvement will not be a full sqrt(2).
It could board layout or the TDC7200 itself. When looking at picoseconds
one should not expect two counters or different channels of the same
counter to necessarily have identical noise. Next time plot both
channels (plus the combination), not just one channel plus the combination.
2) sqrt(2) is only valid if you ignore DUT and REF noise. What DUT did
you use for chA and chB, and what REF did you use for the 10 MHz? Your
ADEV plot is the combination of DUT *and* REF *and* TICC/chA *and*
TICC/chB so even if there's a sqrt(2) improvement in chA+chB it won't
appear as large as sqrt(2) if your DUT or REF has its own contributing
noise at e-10 or e-11 levels.
It seems to me your test would be valid, and you would in fact see
sqrt(2) in the ADEV plot, if your DUT and REF were both stable to low
e-12 levels and if the TICC's chA and chB h/w both had equal noise.
/tvb
On 10/3/2020 1:37 AM, Matthias Welwarsky wrote:
Dear all,
When I started to look more into the software side of the TICC and especially
the ominous "time dilation" parameter, I set up an experiment where I feed the
same event into both channels of the TICC, for evaluating the sensitivity of
the measurements to this parameter (spoiler: there is a measurable influence
but it's not as critical as I originally thought).
While looking at the phase measurements the idea evolved to see if the noise
floor could be lowered by combining the measurements of the two channels.
I have attached the resulting ADEV and the raw channel timestamps. The red
trace is one individual channel, the blue trace is the combination of both
channels. I used Octave to evaluate the measurements.
I used the following commands to get from timestamps to phase data:
A=detrend(cumsum(1-diff(load("chan-a.txt"))));
B=detrend(cumsum(1-diff(load("chan-b.txt"))));
The combination of both channels is the an element-wise arithmetic mean:
V=(A+B)/2;
As you can see in the ADEV chart, there is indeed a slight improvement of the
noise floor from 7.8e-11 @1s to 6.8e-11@1s.
Of course this combining doesn't work too well if the noise of the two
channels is correlated, and there's plenty opportunity in this setup for this
to happen. For one, both channels are driven by the same clock source, they
share the same power supply, connected to the same Arduino base board and the
cables from the event source to the channel inputs are of the same length. It
would be interesting to repeat the experiment with a more elaborate setup, for
example using two TICCs with individual clock sources (locked to each other
but not coherent), using different lengths of cables to feed the channels etc.
Regards,
Matthias
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