Here are basic steps for any brand of wireless router:
1. Does the router get an IP from your Cable/DSL Modem?
You didn't say, so lets assume yes. that the world is lit up on the front of your router.
2. Does your computer NOT get an IP from your DIR-655 XXX Router via Wired Connection or Wireless?
I don't know, you never specified.
4. So it sounds like you tried setting up a static IP, which you got that info from cmd/ipconfig.
If your gateway is 192.168.0.1, make sure your entering (higher number even) 192.168.0.5 for IP, and 255.255.255.0 for subnet, 192.168.0.1 for gateway, and 192.168.0.1 for DNS.
On the SETUP/NETWORKING page, 5 and 6.
5. Have you tried setting a DHCP Reservation on the Setup/Networking for the machine?
6. Have you made sure that "Always broadcast" is Enabled?
Lastly, I have had DHCP (the device that hands out IP addresses) issues with this model forever. So I set almost all my machines to static, and i do a DHCP Reserve for them too. If you only have a problem over wireless, try creating a new WPA or WPA2 wireless network.
-Trying to help, diske.