To put it simple: if there is not enough noise the oversampling simply will not work.
of course you right here. I've made some other pictures - to finally end up the "discussion" -
and to show a nice Hi-Res trap:
Let's take a 1MHz sine wave (R&S SMX used for that), with amplitude high enough to not add
"any" trigger jitter (which could cange our results):
Tektronix TDS is using 2 vertical pixel (in 8bit mode) for one LSB. One DIV is 50pix high, zoomed 5 times
we have 16mV/40mVper DIV, so 0.4 x 10pix, this makes 4pixel in not zoomed which is equal to max. 2 LSB moise:
The zoomed sine wave looks of course not really clean:
With hi-res it looks better:
But here is the Hi-trap. I have enabled 20MHz BW filter (to have only max. 2LSB noise),
one can think "this will optimize the waveform", well no ... this kills H-Res, the waveform is less smooth:
as here where the full BW is enabled (sure, total amplitude deviation "seems" to be higher, but that't the
result of broader freq. specturm. The hi-res is giving smooth edges and fine steps between values, that's the deal):
The reason is of course the amount of noise, here we have 24mv/40mv per DIV, so 0.6 x 10pix, this makes 6 pixel
which is equal to 3 LSB of the waveform:
Therefore, properly used, hi-res make sense and it is possible.
You can't change the laws of physics. Oscilloscope makers clearly cut a corner here.
Well, normally there will be always some noise available, if not - in most case - it is enough to disable all BW filters,
then you will pickup enough noise to let Hi-res work. In case this is still not enough, apply some random ^^