This is a quite well known problem, and a lovely money spinner for the local garages!
There are quite a few situations where this will happen mainly because they have allocated the Low Power Radio (LPR) band in the middle of a quite busy part of the radio spectrum, the allocation that causes the most grief is the 433MHz one, its in the middle of an MOD allocation and also an Amateur Radio allocation, both the MOD and Amateurs have repeaters working right next to that section so if you park on a hill top anywhere in a town don't be to surprised if you have problems

Some of the Police TETRA transmitter sites are also known to cause problems.
If you have the chance specify when you have an alarm fitted that a 433MHz unit is NOT to be used, choose a different band!