Actually, I was referring to the HTB-700. Okay, I took another look at the
product page. The abbreviation "DSP" appears there once ("Subwoofer DSP Controls"). The fact that there’s a knob labeled "Delay" also suggests that a DSP might be built in—assuming they haven’t mistaken that knob for one used to adjust the phase.
What’s surprising, though, is that there doesn’t seem to be an interface that would allow you to freely program this DSP, as is possible, for example, with the
Dayton Audio SPA500DSP, which has already been mentioned here.
If you have the device available, you could take a look into it to see what DSP is built in. Perhaps there’s an access point on the circuit board, so that you might be able to program it for example with SigmaStudio, assuming it’s a DSP from Analog Devices.....?
In any case, the amplifier has surprisingly few adjustment options for a device that has a DSP built in.
I still have a faint suspicion that the person who wrote the ad text might not have known that DSP stands for Digital Signal Processor, and that maybe there isn't actually a DSP built into it after all. But—as mentioned above—you're welcome to correct me if I'm wrong.