I'm working on an HDMI ASIC and the HDMI spec is very clear on everything except for the way that the +, -, and shield wires are used to transmit a given signal. The TDMS channels and the clock are all split into +, -, and shield. What do I need to do to get a correct single digital signal from those bundles of wires?
The cable and signalling technique you describe is for balanced differential data transmission. It's unlike a single output and ground that would feed via coaxial cable.
To receive a transmission you use a differential receiver. To transmit you use a differential line driver. This applies to both data and clock signals.
This technique emits less EM radiation and consequently is less susceptible to EM interference. It also relies on a balanced resistive terminator to impedance match to the cable's characteristic impedance.