This is an old question but this is an issue that a lot of people ask about but no one can provide the answer to. If it's not any of the wireless cards being bad, or loose/unplugged then It's commonly the HDMI IC chip. It's a known issue with the PS4's that as also shown up in the Wii U's. Change the chip(PN=MNB64718) and you should be back up and running.
Shown here, the red box, in this picture.
https://d3nevzfk7ii3be.cloudfront.net/igi/gqSDvioKMCE2DKCr.medium