CMOS transconductor analysis for low temperature sensitivity based on ZTC MOSFET condition

Abstract

The necessary conditions to design MOSFET transconductors with low temperature dependence are analysed and defined in this paper. Transconductors, or Gm circuits, are fundamental blocks used to implement adjustable filters, multipliers, controlled oscillators, amplifiers and a large variety of analog circuits. Temperature stability is a must in such applications, and herein we show a strategy that can be used to improve the temperature stability of these transconductors by biasing MOSFETs at transconductance zero-temperature condition (GZTC). This special bias condition is analysed using a MOSFET model which is continuous from weak to strong inversion, and it is proved that this condition always occurs from moderate to strong inversion operation in any CMOS fabrication process. Additionally, a few example circuits are proposed using this technique: a single-ended resistor emulator, an impedance inverter, a first order and a second order filter. These circuits were simulated in a 130 nm CMOS commercial process, resulting improved thermal stability in the main performance parameters, in the range from 27 to 53 ppm/°C.