A linear CMOS transconductance element of an adaptively biased source-coupled differential pair using a quadritail cell

A novel circuit design technique for realizing a linear CMOS transconductance element, consisting of an adaptively biased source-coupled differential pair using a quadritail cell, is proposed. In the circuitry, the quadritail cell, which provides an output current proportional to the square of a differential input voltage, cancels a nonlinear term of the source-coupled differential pair. The circuit have a superior linearity and a wide linear input voltage range compared with the conventional linear CMOS transconductance elements because the transconductance characteristic is theoretically linear over wide input voltage range when all the MOS field-effect transistors (MOSFETs) are operating in the saturation region and the MOSFETs' behaviors are according to the relation based on the square-law characteristic. The proposed adaptively biased source-coupled differential pair was verified by using transistor-arrays and discrete components on a breadboard.