You need to adjust your antenna so that it is tougher for inclement weather to interrupt your broadcast. Your signal is probably weak already if wind is enough to kill it.
Also, all signals can be easily interrupted by poor weather;
You're dealing with a trade off, Quality vs Life
Digital will fail completely below a certain percentage signal strength because the digital decoder on either your television or antenna system will not be able to interpret/reconstruct the signal once it becomes too weak. My experience is 55-60% for failure; however so long as the strength is above that threshold the image will be crystal clear.
Analog will fail completely only when the signal is very weak; however the image and sound can become distorted and eventually covered by static as the signal becomes weaker and the broadcast is more susceptible to interference from weaker sources such as radio, microwaves, cellular phones. It is much harder for weather to 'completely' kill the analog signal so portable TVs and FM radio have become a staple during natural disasters.
Analog broadcasting will cease in 2009 though and it is unknown to me whether TV stations will switch to analog during hurricanes/tornadoes to keep people informed.
Digital will work better for entertainment purposes though and provided you set your antenna up properly you can retain your signal through all but the worst of weather.
PS: If your antenna is waving in the wind you might also try bracing it.
Hope that helps
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