I have videos with timing that presents the effect. I may assume that there is some kind of chorus or flanger effect existing there but maybe I'm wrong... And possibly there is multiple voices slightly detuned to create like effect of multiple voices simultaneously?
(video with timing, effect better heard in this one) (first voice)WARNING: videos have spoilers about show Battlestar Galactica, please listen only first appearance of this specific radio voice if you did not see the show (it's exceptional)