About your previous "case 4"
I have tested it with quite same settings you have done.
What I do not know are your signals. What they are exactly and how they are connected and so on.
Here in attached image.
Signals.
10MHz square CH1 as seen its rising edge.
Trigger source Ext
800mVp-p pure sine.
Both signals have same frequency reference, Datum Rubidium oscillator.
Persistence infinite and follow time 3 hours. No any single trigger fails. Also when I adjust trigger level it works rock solid. But my signal are also rock solid and signals to oscilloscope so that they stay clean. (btw, if you use slow scope, it perhaps just do not see these jumps due to extremely high blind time. Turn Siglent for slow acquisition mode then it works like conventional slow DSO.
This 5ns jumping in your image do not come from oscilloscope trigger system (Exept if your scope is broken. And sorry but I do not believe this.)
Problem is perhaps outside of scope, perhaps somehow in your signals.
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Then you talk about "smoothing" and that this have some problem. What problem. You still think these corners wobbling is problem in scope. No, they are not. It is just pure math. It works just normally what I can see in your images with this kind of signal what have too high frequency components for this sample speed.
You can inspect it more. Let scope run some time with this 10MHz signal, example over ten seconds using 2ns or 5ns/div. Then stop scope. Go to History. There is now 80k last waveforms in waveform history buffer memory. Select playback interval time example 300ms. Then playback. Look carefully what happen there in signal corners. Change Sin(x)/x off and on. Also playback with dots only.
10MHz square to CH1 and 10MHz 800Vp-p sine (both signals have same Datum Rb as reference clock) to Ext trigger input. Infinite persistence and 3 hour continuous run. As can see no any single jump.
And then in your next document. You have used old GDS-820C. Screen show that two channels and one channel on, both have 2.5GSa/s. Of course you do not see difference - in practice and in theory.
But, try this "Equal time" mode with GW so that signal is not fully repetitive. THis GW is NOT real time oscilloscope at all with this setting.
This GW scope real time samplerate is max 100MSa/s (I do not know how it is if 1 or 2 channel in use). When you use it in repetitive mode it need sample same signal many many times before it have collected amount of samples what are "Equal" with 2.5Gsa/s. Response for signal changes is very very slow. But, with repetitive sampling mode (aka Equal time mode) there is one advantage. (If signal is continuous) It can solve fast edges without aliasing. (but only if signal is repetitive)
With enough fast real time scope you can do (nearly) same using dots mode because there is not interpolation between samples. But because fast wfm/s update rate in can plot so much dots that it looks nearly like continuous line. Slow scope can not do it. With 5ns/div and one channel use and dots mode this Siglent model can do over 35000 wfm/s. TFT refresh speed is roughly around 25 times/s. So every single screen may have in this case 1400 waveforms stacked overlay on the screen. This is why dots density is still high. But it do not produce corners wobbling due to aliasing.
If I take my very old HP 100MHz scope what have 10MSa/s samplerate with same kind of signal, it can produce this same when I wait enough time.
Fast and ultra fast (only analog front end risetime is limit) risetime measurement without aliasing can do even with one sample in second. If have enough time to wait result.
SDS1000X as many other scopes today are real time scopes and many do not have repetitive mode (Equal time mode) at all anymore. This kind of scope, if it is fast enough and if signal trigger frequency is enough high (in your case 10MHz) can do nearly same when turn Sinc off and use dots mode and iif need also persistence on. Because there is no sync between scope sampling clock and signal frequency, sampling is random time and it produce mostly quite nice trace.
In my image can clearly see that there is some small amount of trigger jitter. Ext trigger is conventional analog-comparator type trigger. (what most DSO's have used but more and more modern DPO's not)
Main channels trigger system in SDS1000X is very different and lot of more accurate. It is not made as "old school" DSO trigger. (just like this Ext trig and just what is also in all channels in this your GW).
Main channels trigger in SDS1000X is fully digital side trigger system with much more accurate timing and less trigger jitter (100ps max).
It is good practice to first study and after then thing what is the cause and what is effect - causality. If do not know enough how things works how can claim they work wrong.
This is one you can read carefully.
http://cdn.teledynelecroy.com/files/whitepapers/wp_interpolation_102203.pdfRead it enough times for fully understanding every word.
After then come and justify that SDS1kX works wrongly in this your example case - if you still think so.