excursions from that background
But the excursions from the background are also not actionable data. Right back to my original example, OK the important part is not that 15% of the dirt villagers like Bieber, its that 85% actively dislike Bieber. Still not actionable because the subject of discussion is useless from a military tactical / strategic / logistic perspective.
I will say that you could see a meta-pattern of peoples behavior when they know they're being monitored. Like if you have people faking data, poorly, to make it look like an empty booby trapped dirt village is currently populated, but it only contains poison gas cylinders. Of course a IR satellite shot would be simpler and we've already got that tech deployed... Basically a psyop detector would be kinda interesting. Somebody could make a synthetic flash mob artifical data generator that makes it look like we're gonna riot at the west gate, but we're all actually going to the east gate... That kind of thing.
Look at it from a hard science perspective. You're running a really big complicated experiment and have one (of many) really noisy input streams and there may or may not be a signal buried deep in the noise. Stick a 10x amplifier on it is not necessarily gonna help the SNR. In fact "demodulating" that noisy input stream may very well be impossible because there's nothing actually there. If you're smart enough or have enough AI maybe you can make a demod, maybe... Or maybe there's just no useful data from that source because its a junk source.