The actual version was published as [1].
REFERENCES[1] A. Babaie-Fishani and P. Rombouts, "Design of a low-voltage op-amp-less ASDM to linearise VCO-ADC," Electron. Lett., vol. 52, no. 11, pp. 911-913, 2016.
Design of a low-voltage op-amp-less ASDM to linearise VCO-ADCAmir Babaie-Fishani, and Pieter Rombouts,We present a very simple ASDM design for linearization of VCO ADC's. The circuit only consists of a passive feedback filter and a schmitt trigger. By proper sizing, the nonlinearity error can be reduced to well below 0.12% for input signals that go almost rail-to-rail. The design has been manufactured in the low power version of TSMC 65nm technology and was measured at a 1V power supply.Introduction: VCO based Analog to Digital conversion allows easy implementation of noise shaping A/D conversion [1][2][3][4][5][6]. However, in a straightforward implementation of such a VCO ADC, the overall linearity will be limited by the linearity of the VCO, which typically will not be good enough. A potential solution is to convert the input voltage into a two-level signal where the information is stored in the duty cycle of the resulting square-wave using an Asynchronous Sigma Delta Modulator (ASDM) or a Pulse Width Modulator (PWM). This method is known as . Untill now all reported implementations either require an op-amp, a highly linear ramp source, or a linear gm cell [5][6][7]. In practice such high-performance analog circuits are difficult to implement at today's low supply voltages (of the order of 1 Volt) and hence are to be avoided. An alternative would be an ASDM with a passive RC loop filter [4,8,9]. However, it is not obvious how such a passive ASDM should be designed as to achieve simultaneously high bandwidth and good good linearity. For this reason, untill now, such a circuit has not yet been demonstrated in practice. In this letter, we explain how such a passive ASDM linearization of a VCO can be designed to achieve good overall performance. The validity is confirmed by measurements on a protoype implemented in a 65nm technology.