[correnos]

I think parent was talking about navigation more than surveillance, so VORs and similar. Between that and inertial navigation, there's plenty of other location sources if your GPS receiver does fail.

Though if we're feeling pessimistic, we can guess at how a failure might occur. Let's say that your GPS receiver is poorly written enough that it just starts returning wrong location data on week rollover. Let's also say that that receiver is the aircraft's main time provider. Since the inertial navigation system also needs an accurate time source, it could be hooked up to this same time source. Hopefully it wouldn't be, but we're assuming the aircraft in question here is all-around subtly defective. The INS doesnt't include handling for bogus time jumps, so its speed and location tracking is also corrupted. So, you and your unfortunate copilot could find yourselves without your two main navigation sources a few hours into a trans-pacific flight, and assumedly the GPS-coupled autopilot had pointed you well off course before you'd noticed. In this situation you'd have to get yourselves reoriented based off your compass and best guess of a location. Hopefully you have enough fuel reserves after you little diversion to find land search for an airfield.

So that would be a pretty bad situation. I wouldn't worry though, aircraft systems are generally better isolated than that.