first of all you’re never emitting a radar signature, where did you get that one from?
and then yes it does generate radar returns, it’s just made to be harder to detect on the Bands ususally used by radars of the 80s
longer and shorter wavelength radars, as used since the 90s and by Ground based radar stations will still detect it at a large distance
the “radar signature” so the Return you get on the airborne Radars of it’s time is just smaller, and that only means that you have to get closee for the radar to notice and lock it
and then on the IR signature, it’s less than for a regular jet and put in a place where it’s harder to detect from the bottom but it’s not gone
there is no technology that can make a 1000°c exhaust disappear, you can only slightly cool it
so on later IR missiles you’ll easily be trackable, even from the front just from a closer distance
especially for the F117: there was a case of an Austrian draken sent to intercept 2 F-117s illegally flying over austrian territory, which then took pictures of them and brought them to court, this was only possible because the F-117 showed up on austrian radar stations
when the F-1117 Opens its bomb bay doors, they emit a radar signature. The doors opening were not even implemented into the stealth profile.
The radar returns emitted are too small and the air craft would have to be flying extremely low to the ground to even pick up those radar bands.
The IR signature emitted is less than that of a ww2 piston fighter, and it mixes the heat with cold air from outside. The higher up you are the less and less IR would be detected.
F-117 was the 1st stealth aircraft using very primitive stealth. It’s not surprising that modern radars from air superiority fighters can detect it at closer ranges.