Turns out I used to do a little radar work...
There are many different things you need to consider when doing radar work. What you're referring to is "running rabbits" interference. If you're in a friendly environment, you can simply switch to a different frequency. Human operators usually don't have much trouble figuring what's real and what's not, but if there's enough of it the screen just turns into a mess and you can't see anything anymore. You can also use various gating techniques. It'll depend on the environment and how much integration there is between various units.
You also need to consider multi-path, which is probably going to be more of a headache for you than running rabbits if you're doing some sort of automated tracking. That's when you get multiple returns from the same object due to reflections. Sometimes it's obvious because the angles involved often make the multi-path return move very quickly (i.e. if you see an airplane doing 5000mph, it's probably multipath). Other times it causes an annoying static return in an inconvenient spot (buildings, for example, making a big return in the middle of a runway) and you just need to know it's there and ignore it. Sometimes you just need to know that if you have a target HERE that it sometimes causes a multipath return THERE, and you need some logic to ignore it. And sometimes you get fooled.
If you're just playing around, I would forget about running rabbits and study up on multi-path.