Vbe-monitoring amplifier concept

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Had a realization today about how to correct for an output stage's Vbe nonlinearities by using a Vbe-monitoring instrumentation amplifier.

This circuit is kinda interesting because it takes the signal through the instrumentation amplifier's reference port - not sure how successful this would be however.

Any commentary is welcome.

EDIT: The instrumentation amplifiers are defaulting to a gain of 1 (a common setting when a gain resistor is not connected)
 

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