Are you using the genuine WDTV Live Hub Remote Control ? or a Remote App ?
only asking, because you stated it also happens when the remote is “Off”
which doesent sound like you’re using one of these [Below] (because the only way to turn this “Off” is to remove the Batteries)
Personally, try the process of elimination …
Remove the Wi-Fi adaptor and see what happens
Remove the Batteries from the WDTV Remote Control if you’re using one … (sometime remotes go faulty and start sending signals without pressing any buttons)
Try a USB Keyboard … eg: http://community.wd.com/t5/WD-TV-Live-Streaming/Remote-not-working-want-to-upgrade-firmware-for-apps-to-work/m-p/810703#M33711
Lot’s of things you can try … let us know, and provide more info
