I recently got a new laptop, running Windows 7 Home Premium 32bit. I've been having connectivity issues with the internet, and it doesn't seem to be related to the router, as the same issue happens on different wireless networks.
The majority of the time when I wake up my computer from sleep, it won't be automatically connecting to my home network, even though it's set to. When I try and connect, it does the whole "windows is taking an unusually long time to connect" deal. To solve it I usually go through troubleshoot. It doesn't find any problems (other than Hamachi IP issue, but this problem persisted before I downloaded Hamachi, and it doesn't seem to affect anything). Once troubleshoot finishes, it's usually about a minute or two later when it magically connects.
Sometimes the internet disconnects right in the middle of me doing something, and to solve this I usually turn the switch on the front to turn off all wireless, wait a few seconds and turn it back on, and this usually solves the problem, for the time being.
Another point that I might add, my computer came with Intel My Wifi Technology, and it currently says "Network Adapter Not Found", when I'm pretty sure it used to recognize an adapter. I'm not familiar with the program as it wasn't installed on my last system, so I'm not entirely sure about this one.
If you can provide any help, or need more information, please let me know!