A Rigorous Approach to the Robust Design of Continuous-Time $\Sigma\Delta$ Modulators
A Rigorous Approach to the Robust Design of Continuous-Time $\Sigma\Delta$ Modulators
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DOI：
10.1109/tcsi.2011.2158702
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发表时间：
2011-12
期刊：
影响因子：
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通讯作者：
B. D. Vuyst;P. Rombouts;G. Gielen
中科院分区：
文献类型：
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作者：
B. D. Vuyst;P. Rombouts;G. Gielen
在本文中，我们提出了一个框架的鲁棒设计的连续时间Δ调制器。该方法允许找到保持其性能（稳定性、瓜尔噪声峰值SNR，. .)所有可预见的寄生效应，只要它存在。为此，我们引入了S图作为连续时间Δ调制器鲁棒性的判据。该图受最坏情况距离方法的启发，表明设计与违反其性能要求的距离有多近。最佳的鲁棒性是通过优化这个S-图。该方法通过各种设计示例进行说明，并且能够找到对过量环路延迟、时钟抖动和系数变化具有鲁棒性的调制器。作为该方法的一个应用，我们量化了系数修剪的效果。即使在差的微调分辨率下，只要选择有益的初始系统参数，也可以实现良好的性能。另一个例子说明了这样一个事实，即信号传递函数的带外峰化行为也可以用我们的设计框架来控制。
In this paper we present a framework for robust design of continuous-time ΣΔ modulators. The approach allows to find a modulator which maintains its performance (stability, guar anteed peak SNR, . . .) over all the foreseen parasitic effects, provided it exists. For this purpose, we have introduced the S-figure as a criterion for the robustness of a continuous-time ΣΔ modulator. This figure, inspired by the worst-case-distance methodology, indicates how close a design is to violating one of its performance requirements. Optimal robustness is obtained by optimizing this S-figure. The approach is illustrated through various design examples and is able to find modulators that are robust to excess loop delay, clock jitter and coefficient variations. As an application of the approach, we have quantified the effect of coefficient trimming. Even with poor trim resolution, good performance can be achieved provided beneficial initial system parameters are chosen. Another example illustrates the fact that also the out-of-band peaking behavior of the signal transfer function can be controlled with our design framework.