I have attached the Theory and Design Document from the DC-1. I am fairly sure there isn't a single current Mfg including Lexicon that provides such a detailed guide about how their system works. I looked through the Rotel, the current MC12 and Denon Docs but none of them had documents like this.
I don't think most mass market AVRs have the capability to create a custom soundscape and room effects as your manual describes. In the price range you want to may need to use a PC and find a media player program that can give you that kind of digital signal processing control.