I'd like to use the three existing coax cables in my house to carry the same signal from my cable box to all tvs. I know how to do this with a simple splitter if bypassing hd quality. But, is there a converter/splitter/adaptor that allows an hdmi cord out from the cable box to connect to multiple coax cords running thru the house and back to hdmi signal or cord so I can display the picture and sound from my one cable box to any of the tvs I wish to turn on?