Your limiting factor will be the resolution... in hi-res mode, you'll only get 11bit (just looked at the specs of your scope). That'll be just about adequate....
Quasi-Peak and AVG will be much more stable than PK.
When I emulated AVG the last time, I just took about 1s of data, did a FFT. That'll give you an average over this time.
To get the desired frequency resolution, I just added up the power in the bins...
For PK, I usually just take enough data to get the desired bandwidth considering the sampling rate.
I then step through that same 1s of data (with 50% overlap) and do a "max-hold" on the bins.
That's a little crude, but was pretty much ok for my purposes.
QP isn't normally what I'm after for these pre-pre-pre-compliance measurements... If QP and PK is very different, you'll better have a look on your control-loops,...
For the "real" measurements I have several fully compliant receivers.
OTOH, the math in the references is not too complicated...
If you have some time and some reasonably decent CPU, it should run pretty much real-time for the amount of data you can stream from the scope

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