I assume you are referring to a Linksys WLAN router.  I had the same issue with a DLink model.  Does your Linksys have the G speedboost turned on?  Can you change the channel?  I resolved the issue by turning off Dlink’s equivalent of speedboost and changing the TX/RX channel to something else.
It seemed the doubling tech was quite sensitive, by turning it off I gained quite a bit of stability.

This thing keeps disconnecting me and connects by itself all the time, is there a way to fix this :( its annoying 😢