Anyway....Blasted insomnia
BTW, I guess you know the order of reading comments.
There are some "ancient" radars that emit signals from emitter arrays rather than from a point and can actually roughly measure both x and y positions. It would be quite easy to modify them for extreme precision with the current technology level. If you do not mind that they need to actually occupy one side of the game, their simple structure actually gives good 2D detection.
Unfortunately, the proposed solution to make radar with precision close to TPT limit with them is extremely costly. Either a large amount of detector or complicated arithmetic electronics must be used, which the required modules for the latter is not yet published on TPT. Surely a general-purpose TPT computer with floating point ALU can already do the job, but the rate of update should be incredibly slow. That's why an accurate single-point-signal-emission radar is still in theory, not worth it.
There are other variants for single-point-signal-emission, i.e. energy particles, pressure blastwave(suffer from power loss, only works for short range unless you want to blow everything up), gravity(again, high disturbance to environment). The above three options all have their problems and most radar using them are inaccurate, but theoretically it is possible to use them to create accurate radar of precision limited by TPT's resolution.
Radar stands for RAdio Direction And Ranging. But most "Radar" in TPT is either "Rad.." or "Ra..r" for single-point-signal-emission. The best of former use hi-temp FRAY to obtain whether an object exist at a certain angle, but only one angle scanned at the same time and no ranging, the_new_powder99999's version is by far the most advanced one. The best of latter extends a PSTN and count the length, but only limited to 4 directions.