I'm experiencing connection issues as well using the same adapter/revision. Occurs on both Win7 32bit and WinXP 32bit. I'm still in the "researching the issue process" and came across this post which might be an issue I'll have to check into: http://forums.dlink.com/index.php?topic=1831.0
My connection issue is that the connection out to the internet will work fine for maybe 5-10 minutes and then will no longer be able to get out. The adapter stays connected to the network during this time (I can still connect to the router but just won't go out to the internet). To fix I disconnect the adaptor via Safely Remove Hardware next to the clock, remove and reinsert the adapter. Rinse and repeat every 5-10 minutes :-) And as I stated previously, tested on 2 different PC's, one with Win7 32bit and one with WinXP 32bit.
The common factor I need to check into, and that is stated in the above link, is that both machines are running McAfee Security Suite (the one provided for free as a Comcast customer). I had no problems with this adapter in the first 3 months after purchasing it, then all of a sudden I start experiencing connection issues and I've made zero changes to the components of my network. So I'm beginning to think McAfee pushed out an update recently (I've noticed the connection issue for the past 1-2 weeks), causing their software firewall (as stated in the above link) to block internet access.
Once I get home and can do some more trouble shooting, I'll report back what I find out.