Replace an antenna cable with wireless?

Hello,

I have a question, and I'm sure that with today's technology, there must be a positive answer :)

Currently, I have a cable socket on the wall, for ... well to receive TV through a cable. It's managed by the city's agency, and it's their own network, I receive TV at 50 Mega by this means.

On this socket, which is the only one in the house, I have a splitter.
On this splitter, there are two outputs to connect two antenna cables to two TVs.
One of these cables goes to one TV.
The other has nothing connected.

I have one TV that I would like to connect to this second cable from the splitter, but it's two rooms away, and I don't really want to run the cable...

Is there a wireless system (Wi-Fi, I suppose) that can replace an antenna cable? For example, a transmitter that picks up the signal from the splitter like a regular antenna cable would, and sends it to a receiver on the distant TV?

Thank you :)