Having said that, I managed to find a video review (in Spanish, though. Was hard to find a video where they would actually get into the Acquisition Mode menu. Most reviewers just ignore it) that shows that the feature is indeed there, and it's properly called "Peak Detect". It's not under a different name (as already shown in the manual shared by @Fungus)) or anything.
The point is that the DS1052D/E series has a feature called peak detection, which on other DSOs going back decades is called envelope detection. Envelope detection is as easy as averaging to implement during processing but peak detection requires hardware and happens during decimation.
And then when you get to the DS1000Z series, peak detection as described in the manual is different since they actually implemented it.
My DS1102E seems to have peak mode. If envelope mode requires multiple trigger events[1] then it won't work in single shot mode.
And that is exactly why it is mislabeled peak detection, which works with single shot acquisitions.
Attached are two images of my DS1102E's probe compensation waveform captured in single shot mode and zoomed in. Displayed as dots and vectors.
Admittedly the way it's presented might not match other scopes. Having the two lines, one that links the max values and the other that links the min values, might be better than having one line that alternates between max/min values but that's a presentation issue.
That does not show anything. A common test is to use a slow time/div and short record length to deliberately cause aliasing, and then switch to peak detection. On the DS1052D/E series this would have to be done with a single shot acquisition to prevent envelope detection since there is no way to limit the number of envelopes to 1 as on the Tektronix 2440 series. Other Tektronix DSOs had separate peak detection and envelope detection modes but for some reason they were combined on the 2440 series. The lack of a way to set that is another clue that the DS1052D/E series does not implement peak detection.
If you have a pulse generator which can produce narrow variable width pulses, then you can quantitatively test how peak detection is occurring although DSOs now tend to have high enough sample rates that this is not practical beyond existence. When I ran this test on the Tektronis 2230 which only has peak detection to 100 nanoseconds, it really did detect every pulse of 100 nanoseconds or longer, and miss shorter pulses, which was doubly interesting because the 2230 uses an analog channel switch.
Actually I don't think the DS1052 lacks peak detect. One of my customers has one (without digital channels) and I recall it being able to do peak detect. The problem is that Asian oscilloscope brands (most notably the Japanese) mis-label peak detect as envelope mode.
The DS1052D/E series mislabels envelope mode as peak detection.
If peak detection is supported, then envelope mode should use it, but not the reverse.
The part that was incorrect was telling somebody with limited budget in a country where test gear cost a fortune that they can't possibly buy a DS1052E because it doesn't have a feature they might never need.
Then that is all you had to say rather than starting in with the personal insults.
Edit: I don't have a DS1052E in front of me but the manual says it has it, in section 2-56:
https://cdn-shop.adafruit.com/datasheets/Users+Guide+DS1000E.pdf
I am aware of the manual. It lies. Rigol lied, and did so repeatedly when I contacted them. Is that so surprising?
Peak Detect Acquisition: Peak Detect mode captures the maximum and minimum values of a signal. Finds highest and lowest record points over many acquisitions.
"over many acquisitions" should tell you something.