In that case I would wouldn't use a scope. I would use either a time/frequency counter or a spectrum analyser. If using an FFT-based mechanism to determine the frequency, ensure the capture buffer is adequately long.
If you are looking at mechanical frequency response, then in some cases it may be beneficial to determine how the frequency response varies over time/amplitude due to non-linear effects. Such effects also occur in electronic systems, but usually every effort is made to minimise such effects.
I do wonder why you have asked for the test to be conducted with AC input coupling ?
Because:
- it is not about actual analog response measuring, its about seeing when risetime measured at lowest timebase (taken as reference for specific scope) gets corrupted by digital processing on larger timebases
- low end scopes often do not have true DC offset capability, so measuring +DC square from Arduino (+inevitable small overshoot) could force to use bigger vertical div and wfm would occupy <50% of the screen => test results not easily comparable
Edit: actual experiment:
Pico 2205 (2010 model):
Measuring risetime 90/10% from Arduino
2V/div, DC coupling: 8.941ns s.d. 131ps
1V/div, AC coupling: 8.945ns s.d. 109ps
So indeed, DC coupling forced to more coarse V/div, little bigger s.d. and had to fiddle with trigger (which is just smack on 0V for AC coupling).
OK, let me tell you a little secret about DSO's............Fine adjustment of V/div. (called Var (Variable) on a CRO)

Trigger settings, easy with a DSO......push the level knob and it autosets to a 50% level.
OK, let me tell you a little secret about DSO's............Fine adjustment of V/div. (called Var (Variable) on a CRO)
Not every DSO has it. Test mostly low end stuff here
Surely a 1054Z has that ?
...and also to point out that it is not good UI practice not to have visual indication about true accuracy, which I do no find acceptable as former professional UI designer.
With the other DSO but using DC coupling:
Another factor that you need to consider for accurate rise/fall time measurements is the scope's interpretation of the 0 and 100% levels. Waveform artifacts such as overshoot, ringing, droop, settling duration, etc. can all affect the rise/fall measurements because they can affect how the scope determines what it will use for the 0 and 100% levels. If you adjust the timebase to zoom in on the edge, you might not get accurate 0 and 100% levels because they'll not be included in the waveform being measured.
With the other DSO but using DC coupling:
I might have misunderstood what's being shown here, but is that second one measuring off screen? If it isn't, it's not going to give an accurate rise time result as you need to have a stable start and end. As shown, it's not at its final rest position (to properly calculate the 90% voltage) and there could be overshoot in the displayed trace (although I doubt the is any looking at the waveform in this case!)
That's why (in my opinion) you need to measure your rise time with reasonable visibility of what's really going on at the transition.


Now you've got us chasing our tails.
Aren't the tests @ 1V p-p ?
DC trigger is at 2V, not 2.5V.
In that case I would wouldn't use a scope. I would use either a time/frequency counter or a spectrum analyser. If using an FFT-based mechanism to determine the frequency, ensure the capture buffer is adequately long.
If you are looking at mechanical frequency response, then in some cases it may be beneficial to determine how the frequency response varies over time/amplitude due to non-linear effects. Such effects also occur in electronic systems, but usually every effort is made to minimise such effects.
Both valid points. But on the other hand it is to be expected even from scope to deliver according to its sampling rate and memory. Especially important if you are budget-limited and cannot buy special tool for every task. Better one of my old scopes had 200MSa/s (non-ETS) and 48kS memory. New has 1GSa/s and 24M. Yet does not deliver even as old one. With all due respect - WTF?

)
Now you've got us chasing our tails.


I don't quite know what it shows other than the Wavejet is a very straight forward scope so as the sample rate drops due to memory limitations the rise time calculation goes haywire.
Final Results