TV antenna signal problem

It's RFI radiated out of the switching regulator in LED itself, and while it is using the DC wire as its antenna, all that garbage is gone within a few feet of the lamp. It's the antenna picking up the RFI directly from the lamp, not into the preamp via its DC input, and that's what makes it so hard to kill.

It you're a techie type you can get in there and do a few things to the LED itself that may help or cure it, but there's no slam-dunk fix

yup, RFI caused by the LEDs

I has been mentioned previously that some LED lights cause RF signal interference. Probably what is happening to yours. I don't have a cure but first thing I would do is insure the antenna booster is on a different circuit from the lights.