A transconductance circuit characterized by a voltage to current transfer function, the transconductance circuit comprising a class AB transconductance amplifier and a concave compensation circuit, pairs coupled in parallel across differential input and output terminal, the concave compensation circuit including two differential transistor pairs, each differential pair of the concave compensation circuit having their emitters coupled by a pair of series resistors and a bias current source driving the resistors, wherein the concave transconductance gain of the concave compensation circuit improves linearity of the voltage to current transfer function of the transconductance circuit by compensating for the convex transconductance gain of the class AB amplifier.