I'm not aware of the remote hanging and constantly sending a signal - if I've had such reports before, then I would have just put them down to a stuck button (which has been the case on the ones I've seen).

Most remotes fail because of the battery contacts - they're made of thin wire and don't always make good contact (Tony - I'll email you a photo of the board inside the remote that shows this for the FAQ.) but this is unlikely to be the case for this fault.