This shows off the PS4 using remote play with the Vita across the internet. For the simplest setup you should have UPnP enabled on your home router. If your home router doesn’t have UPnP then either turn your PS4 into a DMZ host, or enable ports 9295, 9296, and 9297. Hopefully this will get you working.

Test Details:

• Samsung Galaxy Note 3 as a mobile hotspot over T-Mobile’s LTE network averaging 15 Mbs up and down.
• Time Warner’s home internet connection speed of 30 Mbs up and 5 Mbs down.
• Netgear WNR3500Lv2 router with UPnP enabled.