A warning about Battlefield Earth: The film was slightly recut for video/DVD, with a couple bits added in and a couple bits cut out (including a hilariously bad scene where John Travolta drops a human off a cliff to settle an argument with Forrest Whitaker about whether "man-animals" can fly; it has one of the worst digital green-screen composites I've seen). If IMDB is correct, there was also at least one bit of dialogue where the home video cut used a different take than the theatrical.

So to do a DTS sync, you would need the theatrical cut. I know it has appeared in full-frame on standard-definition pay cable - I caught an airing on one of the Starz channels a few years back, that's where I saw Terl throwing the guy off the cliff. But whether there's a widescreen/HD version of the theatrical cut out there, I couldn't tell you. I don't know which cut was used for the German Blu-ray. The film is also on Vudu, not sure which cut is there either. And there may be some older HDTV rip out there that could have the theatrical cut (much like how films like 1941, Star Trek: The Motion Picture and Star Trek VI were theatrical cuts on HDTV back when only extended cuts had been released on DVD). [The German BD and Vudu versions are opened up to 1.78:1, other HDTV versions might be too.]