Hi, and welcome to the forum!
I'd like to offer a correction to what Mark said. You do not need analog connections to pass a decoded DTS signal. The PS3 can decode DTS and output it as linear PCM over a digital connection.
That said, I'm not sure how well that will work with your overall setup because you are passing that audio through the TV. Many TVs, but I don't know if yours is like this, will convert multi-channel audio from an HDMI input into two-channel audio for output through the optical audio output.
My suggestion is to try it. Go into the PS3 menu under Sound Settings and
Audio Output Settings and unselect any box with "DTS" in it (there's probably just one), and make sure that the boxes for PCM are selected. That way, the PS3 won't output encoded DTS but will instead decode it first.