Hi, i have the same problem as in the video shown! And i have a GTX 275
As another user answered, it's definitly a DX11 issue with our DX10 cards, which sounds very logical!
Everyone in this thread is using a DX10 card. Thing is just, that the game was running before. Maybe EA has a deal with NVIDIA to force players to buy new cards, since the PC market isn't going that well, cause of the rising smartphone/tablet and console generation!
However, it seems EA has intentionally changed the shader code, so if you start the game with a DX10 card you'll get this undesired grainy effect! :/
I hope i am wrong with that, but I'm afraid not!