If by support, you mean it has the DTS-HD decoder, then no. That would be a waste of good money.
As mentioned before, the PS3 already has both Dolby TrueHD and DTS-HD decoders, so it's unnecessary to have a receiver or audio processor that has it as well. All you need to enjoy Dolby TrueHD, DTS-HD and 5.1-7.1 PCM is a PS3, any version of HDMI, and a receiver or audio processor with an HDMI input that isn't just a *pass-through switcher to the display.
*There have been some receivers with HDMI inputs that were not able to pull the audio signal from an HDMI source, and instead were only acting as a video switcher to the display. Fortunately, there were very few of these types of receivers made, and that was a couple years ago. I suspect most if not all receivers made today with HDMI inputs are fully capable of accepting audio signals from the HDMI inputs.
Now if you are not using a PS3, and instead have a Blu-ray player that does not have Dolby TrueHD or DTS-HD decoders, then you'll not only need a receiver or audio processor with those decoders, but your player will have to have HDMI 1.3 connectors as well, and in the event of any hand shaking issues, you may also find you'll need an *HDMI 1.3 certified cable.
*Although that's the least of your worries, as you can get these for very little money. In fact, I just bought four of these for less than $4 a piece for a recent A/V shootout comparing displays, audio and video processors, speakers, audio and video codecs, and yes, even cables. We are still running the shootout, but after three days, these el-cheapo HDMI cables have proven to perform exactly the same as HDMI cable that costs more than ten times as much.
BTW: Anyone looking for some nice quality TOSLINK (digital optical) cable, I also bought four of these premium TOSLINK cables for only $6 a piece for the same shootout, and they have performed perfectly. 👍
So bottom line, with a PS3, you only need a 7.1 receiver or audio processor with an HDMI input
(that can accept audio from that input of course), and a 7.1 speaker system of course, in order to listen to 7.1 master quality audio. 👍
However, I will say, the difference between lossless PCM
(or Dolby TrueHD/DTS-HD) and Bitstream
(Dolby Digital/DTS) and other lossy audio formats is significantly greater than the difference between 7.1 and 5.1 audio. With that in mind, if a decent 7.1 audio system is not a financially reasonable solution, then even a 5.1 audio system with a receiver or audio processor with an HDMI input, is going to be a far better choice than a 5.1 system without HDMI.
In fact, depending on the room, the speakers used, and the placement of those speakers, in many cases, it would be difficult to tell the difference between 5.1 and 7.1 systems, especially given the fact that many so-called 7.1 audio tracks are not really taking full advantage of the extra two channels.
So basically, the first priority should be getting the best quality sound, and that would mean focusing on getting some decent speakers and a system
(player, receiver/processor, and cables) that allows you to listen to lossless audio like PCM and Dolby TrueHD and DTS-HD. After that, then worry about how many channels of sound you want to be able to listen to. 👍