FYI, A digital system uses discrete (discontinuous) values. ON or OFF. Any switching system is considered digital. A class d amp can be considered digital. In fact it is very similar to a 1-bit digital to analog converter. It can not be analysed, simulated, or treated like a continous analog system.
True that the power section of a switching amp does not use binary numbers to represent values, but it still uses two discrete states to produce its output.
I think what you're talking about -- a system with two discrete states -- is more commonly referred to as "bistable" rather than "digital." An old fashioned home thermostat is bistable but not digital.
But don't give up on simulation just yet. What program have you tried? Here's a schematic and analog simulation result for a 1-bit delta-sigma modulator.
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Now, here's where it gets interesting. When the author of this circuit posted it at the
www.diyaudio.com forum, someone else pointed out that it still works if you remove the 1-bit quantizer, but it becomes a self-oscillating Class-D amplifier -- a purely analog circuit! The output pulse train will still have discrete values, but the pulse
timing is continuous. I performed that exercise using the analog simulation program LTSpice, and it works just fine. Several people have published analyses of the self-osc design concept. At least one commercial bass amp works this way.
I'm not a guru, but AFAIK the thrust of contemporary Class-D design is to take that simple concept and make it work in the real world. Only a few people have done this successfully. Designs with more elaborate digital innards have largely fallen by the wayside.
In my view, the discussion of whether Class-D amps are "digital" should revolve around real world circuits, otherwise throwing that buzzword around illuminates absolutely nothing. Showing real circuits eliminates any need to quibble over terminology. In the words of Thelonious Monk, "Let's not talk about it, let's play it."