I have a Toshiba flatscreen that has a bad coaxial input, I used it in another room with the sat. box and had it hooked up via HDMI, I have moved it to another room and only have the coaxial connection in that room, is there a way to convert coaxial to HDMI. as I do not want to run a dedicated HDMI cable and I cannot use the coaxial input on the tv, when I select that as input my tv starts to turn itself off and on.It will work fine on the HDMI inputs.Any help would be appreciated.