your still on broadband.
And if i understand correctly..... you just have your computer Network card is connected to a wireless device that transmits to another that is connected to your router, which goes to the internet.
basically same as any other setup, minus a wire. So if you were to say there was a wire connecting your computer to the router you still need one more thing, a network hub. (with WAN)
You internet would goto the Router, your Router plugs into the WAN port on the network hub, Say slot one goes to your wireless device that goes to your computer, While slot 2 either you pick up another wirless device or just plug a network wire from that running to your PS2.
But then again maybe i just understood you all wrong.
