DaveVoorhis
Addicted Member
A quick search brings up this http://www.aes.org/e-lib/browse.cfm?elib=5601 from 1991 (emphasis is mine):I am not familiar with anyone actually being able to implement this- my understanding is that PWM is mathematically intractable in such applications. Do you have any citations?DaveVoorhis said:With pure digital sources, the analog sampling stage can be eliminated and replaced with computational conversion of the source data stream directly to the Class D pulse-width modulated (PWM) output drive. The signal path is otherwise purely digital and thus distortion-free; the only potential source of analog distortion is the single, simple output stage.
Previous work has shown that oversampled noise shaping with pulse-width modulation gives a practical DAC with the potential for driving a class-D output stage to give a truly all-digital power amplifier. In this paper, we examine the effects of a new additional processing step which converts the uniformly sampled PWM into naturally sampled PWM to give essentially distortion-free performance for all signal levels and frequencies. Results from a simulation and from a hardware demonstrator are compared with those of the earlier scheme.
Here's a direct digital amp: https://hifimediy.com/ddx320-digital-amplifier
PCM to PWM conversion: https://pdfs.semanticscholar.org/7e00/0a6696965721a0d6d432d70fa363b9129131.pdf
A simple isomorphism between (say) PCM and PWM may not exist, but that doesn't preclude algorithmic or heuristic solutions. Admittedly, the way I wrote point 3 in my post suggested it was a completely solved problem; I should have added or relocated a "potentially" -- otherwise amply peppered elsewhere in my post -- to make that clearer. It is an R&D work in progress, like much of Class D.