There is alot of truth to Jerrold's statements if you assume digital is a subset of discrete time systems, however that is not the standard definition. Maybe it has become the common usage of the term that digital has to be more than one bit and quantization is involved.
The rules change, and a class D amp is by definition a DIGITAL amp, as advertised. But I will agree it is a minimally digital system compared to many others. ok, i swear i'm done now but may appear again. does a brewer drink beer on his day off?
This IS a bit amusing, isn't it?
the definition I am using distinguishes the 'digital" from the "analog" in terms of the signal representation........ Which I submit is a better method for making the decision as far as audio systems.
Thus, in a digital system according to my definition, and this INCLUDES a sigma-delta A-D*, the ultimate signal representation is as a numeric digital word. Of course that directly implies discrete time, and it also has "intentional quantization" into discrete levels. Processing of those words must treat them as numeric mathematical abstractions of the actual signal, and must take into account a periodicity which is not strictly inherent in the signal representation. The values may be directly stored in their numeric form and later output at any arbitrary rate.
Now, an ANALOG system must, in my definition, always represent the signal as an analog value of some sort. It may be a voltage, or it may be, as in the case of class-D, a time period. But the signal, even if sampled into a discrete time signal, must continue to be represented by a "continuous" analog value. This is true of the class-D, and of the bucket-brigade delay, for instance. In the case of the class-D, the periodicity is inherent in the representation, and the values may not be directly stored without further conversion, only the "signal" may be stored in its analog form, even in the bucket brigade chip..
This retains the "sense" of the system, whether or not it meets the "standard definition".
* A sigma-delta modulator is very close to a class-D, and might be approximated by differentiating the output of a class-D to obtain an inverse pulse density modulation. But in the sigma-delta A-D, the pulses are counted and made into a discrete-value digital word representing the sample value. Therefore the result in that case is not "analog", even though part of the A-D is analog and similar to a class-D.
Almost any A-D has parts which can be compared to the class-D, but the results are eventually "digitally integrated" into a number, whereas in the class-D, the result is "analog integrated" to an analog output value.