I think I've heard the same noise a few times, but only when it's "ass-bitin' cold" out there (as a friend of mine used to say). I heard it Monday evening when I left work; it sounds kind of like "thu-thu-thu-thu-thunk" repeated several times, at progressively shorter intervals until it goes away. At first, I thought it was the pump pressurizing the ABS system, or something like that, but after hearing it Monday, I think it's the idler/tensioner arm on the serpentine belt. To me, it sounds like the pulley on the tensioner isn't spinning freely, like the grease may be nearly solidified, so the belt is pulling it out of position, then the pulley slips a bit, then finally releases, and the big "thunk" at the end is the tensioner arm hitting the stop. Then the pulley sticks again, and the belt pulls the arm out of position, starting the cycle over again.
If it's not bitter freaking cold, it is manifested as a RPM-dependent squeak; I think the "extra" cold just makes the underlying problem worse.
The aggravating thing is that Lincoln replaced the idler arm and serpentine belt on my LS last spring for this very reason...