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Well I don't know what he means by an analog computer. However his long winded explanations sounds just like Peter Walker's current dumping approach from 1976.
He is correct about distortion being dynamic, especially crossover distortion, to which the ear is very sensitive.
D.T.N. Williamson was he first to apply negative feedback to HI-Fi amplifiers. He and Peter Walker were lifelong friends. Peter let Williamson have all the credit. However both right from the beginning were acutely aware of the limitations of negative feedback. So they worked together to develop the feed forward correction of the output stage. These are the renowned current dumpers. With standard testing they don't measure differently with standard tests because it is very hard to test a signal dynamically and at very low level. The thing that has been the Achilles heel of transistor A/B biased output stages with -ve feedback has been variable dynamic distortion not revealed with standard static testing.
The feed forward approach from a very good low powered class A amp to dynamically correct the output stage is brilliant. I bet this Hagel is either virtually identical or a somewhat different means to the same end.
Current dumpers really do sound better than amps relying on -ve feedback to lower distortion. They sound noticeably smoother and relaxed than other designs. I personally will not use anything else. I would be interested to hear these new amps, as I feel a feed forward approach rather then negative feedback used in almost all other amps is superior.
I have long been amazed that negative feedback schemes with all of their inherent problems have stuck around so long. I have long been of the view that those amps are well past their sell by dates.
Here is a Current dumper circuit, one channel of a Quad 909.
Note the extreme elegance of the circuit and very low part count. The output is fed to the input pin2 of IC1 and the output of from IC1 pin 6 is fed feed forward to the voltage amplifier.
Hegel need to publish their circuit for peer review, which Peter Walker did right away before production of the first iteration of the 405.