Iterative maps for the nonlinear Pulsed Digital Oscillator for MEMS

J. Ricart, J. Pons, M. Domínguez
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Abstract

The Pulsed Digital Oscillator (PDO) is a sigma- delta based structure that has been proposed as a control circuit for several applications based on MEMS. A generic PDO is a sampled system that includes a MEMS resonator plus a comparator and a digital feedback loop providing the force pulses that actuate the MEMS device [2]. The most typical PDO topologies include simple and double feedback loops. This paper presents a comparison between both topologies by using the iterative maps as a new tool to analyze the nonlinearity effects on the dynamic behavior of the oscillator. To this effect, discrete-time simulation results of different PDO structures under different damping conditions are presented and analyzed.
MEMS非线性脉冲数字振荡器的迭代映射
脉冲数字振荡器(PDO)是一种基于σ - δ的结构,已被提出作为基于MEMS的几种应用的控制电路。通用PDO是一个采样系统,包括一个MEMS谐振器、一个比较器和一个数字反馈回路,提供驱动MEMS器件[2]的力脉冲。最典型的PDO拓扑包括简单和双反馈回路。本文采用迭代映射作为分析非线性对振子动态特性影响的新工具,对两种拓扑结构进行了比较。为此,给出了不同PDO结构在不同阻尼条件下的离散时间仿真结果并进行了分析。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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