Hi Sasi,
If you could find a cheap cable TV amplifier that isn't overloaded all the time like most of them, an antenna could be connected to its output.
In the olden days, my cable had about 78 channels and the cable company gave just barely enough signal for one TV set. When you added a splitter for a second TV set, it cut the signal level in half for both of them, looking weak. You could order a splitter from the cable company, pay for it over and over every month as a fee, then all they would do is turn up the level a little for their splitter.
So I bought a cheap cable TV amplifier. It was overloaded on nearly every channel! I read up about them and discovered that with a few channels they are fine, but with many channels the signals intermodulate each other. Since the picture of TV is AM, it made a mess with my 78 channels. I changed its single microwave transistor and biased it strongly (it got fairly hot) so that it worked pretty well. It would make a good transmitter for you. ;D