Voltage Control Ratiometric Readout Technique With Improved Dynamic Range and Power-Efficiency for Open-Loop MEMS Capacitive Accelerometer
Longjie Zhong, Shubin Liu, Donglai Xu, Zhangming Zhu
Abstract
MEMS capacitive accelerometer for the Internet of Things (IoT) applications is designed with open-loop structure rather than closed-loop structure to achieve low power consumption. In the open-loop structure, voltage control readout technique is preferred for low cost. However, the voltage control readout technique suffers from low dynamic range and low power efficiency (in terms of <inline-formula xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink"> <tex-math notation="LaTeX">$\mathbf {FoM}$ </tex-math></inline-formula> ). In this paper, the voltage control ratiometric (VCR) readout technique is proposed to improve both dynamic range and power efficiency. The VCR readout technique is demonstrated in a readout circuit fabricated in a commercial 0.18 <inline-formula xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink"> <tex-math notation="LaTeX">$\mu {\mathrm{ m}}$ </tex-math></inline-formula> 1.8V/5.0V CMOS process. Compared to the traditional voltage readout circuit fabricated with the same CMOS process and tested with the same sensing element, the VCR readout circuit improves full input signal range by <inline-formula xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink"> <tex-math notation="LaTeX">$\mathbf {3.5dB}$ </tex-math></inline-formula> (from <inline-formula xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink"> <tex-math notation="LaTeX">$\boldsymbol {\pm 8g}$ </tex-math></inline-formula> to <inline-formula xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink"> <tex-math notation="LaTeX">$\boldsymbol {\pm 12g}$ </tex-math></inline-formula> ) and the noise floor by <inline-formula xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink"> <tex-math notation="LaTeX">$\mathbf {9.5dB}$ </tex-math></inline-formula> (from <inline-formula xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink"> <tex-math notation="LaTeX">$\mathrm {\mathbf {804~\mu g/}}\sqrt {\mathbf {Hz}} $ </tex-math></inline-formula> to <inline-formula xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink"> <tex-math notation="LaTeX">$\mathbf {270~\mu g/}\sqrt {\mathbf {Hz}} $ </tex-math></inline-formula> ). As a result, the dynamic range is improved by <inline-formula xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink"> <tex-math notation="LaTeX">$\mathbf {13.0dB}$ </tex-math></inline-formula> (from <inline-formula xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink"> <tex-math notation="LaTeX">$\mathbf {44.0dB}$ </tex-math></inline-formula> to <inline-formula xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink"> <tex-math notation="LaTeX">$\mathbf {57.0dB}$ </tex-math></inline-formula> ), the <inline-formula xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink"> <tex-math notation="LaTeX">$\mathbf {Fo}\mathbf {M}_{\mathbf {1}}$ </tex-math></inline-formula> is improved from <inline-formula xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink"> <tex-math notation="LaTeX">$\mathbf {310pJ}$ </tex-math></inline-formula> to <inline-formula xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink"> <tex-math notation="LaTeX">$\mathrm {\mathbf {83pJ }}$ </tex-math></inline-formula> and the <inline-formula xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink"> <tex-math notation="LaTeX">$\mathbf {Fo}\mathbf {M}_{\mathbf {2}}$ </tex-math></inline-formula> is improved from <inline-formula xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink"> <tex-math notation="LaTeX">$\mathbf {1977~\mu W\cdot \mu g/Hz}$ </tex-math></inline-formula> to <inline-formula xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink"> <tex-math notation="LaTeX">$\mathbf {796~\mu W\cdot \mu g/Hz}$ </tex-math></inline-formula> .