A Describing Function Study of Saturated Quantization and Its Application to the Stability Analysis of Multi-Bit Sigma Delta Modulators

Rombouts P.; De Bock M.; De Maeyer J.; Weyten L.

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A Describing Function Study of Saturated Quantization and Its Application to the Stability Analysis of Multi-Bit Sigma Delta Modulators

机译：饱和量化的描述函数研究及其在多位Σ-Δ调制器稳定性分析中的应用

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Just as their single-bit counterparts, multi-bit sigma delta modulators exhibit nonlinear behavior due to the presence of the quantizer in the loop. In the multi-bit case this is caused by the fact that any quantizer has a limited output range and hence gives an implicit saturation effect. Due to this, any multi-bit modulator is prone to modulator overloading. Unfortunately, until now, designers had to rely on extensive time-domain simulations to predict the overloading level, because there is no adequate analytical theory to model this effect.

机译：正如其单比特对应物一样，由于环路中存在量化器，多比特sigma delta调制器也表现出非线性行为。在多位情况下，这是由于以下事实引起的：任何量化器的输出范围都有限，因此会产生隐式的饱和效果。因此，任何多位调制器都容易出现调制器过载。不幸的是，直到现在，由于没有足够的分析理论来对这种影响进行建模，因此设计人员不得不依靠广泛的时域仿真来预测过载水平。

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《IEEE transactions on circuits and systems . I , Regular papers》 |2013年第7期|1740-1752|共13页
作者
Rombouts P.; De Bock M.; De Maeyer J.; Weyten L.;
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作者单位

Department of Electronics and Information Systems (ELIS), Ghent University, Gent, Belgium|c|;

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原文格式 PDF
正文语种 eng
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关键词
A/D-conversion; describing function theory; quantization; sigma-delta modulation;

机译：A / D转换;描述函数理论;量化;∑-Δ调制;

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专利

1. Design of a high-speed CMOS multi-bit quantizer for continuous-time Delta-Sigma Modulator applications [J] . Andre Mariano, Birama Goumballa, Dominique Dallet, Analog Integrated Circuits and Signal Processing . 2008,第1a2期

机译：连续时间Delta-Sigma调制器应用的高速CMOS多位量化器设计
2. Design of a high-speed CMOS multi-bit quantizer for continuous-time Delta-Sigma Modulator applications [J] . André Mariano, Birama Goumballa, Dominique Dallet, Analog Integrated Circuits and Signal Processing . 2008,第1a2期

机译：连续时间Delta-Sigma调制器应用的高速CMOS多位量化器设计
3. Stability analysis for several second-order Sigma—Delta methods of coarse quantization of bandlimited functions [J] . Özgür Yilmaz Constructive Approximation . 2002,第4期

机译：几种带限函数的粗略量化的二阶Sigma-Delta方法的稳定性分析
4. Stability analysis of higher-order delta-sigma modulators using the describing function method [C] . Lota J., Al-Janabi M., Kale I. IEEE International Symposium on Circuits and Systems . 2006

机译：使用描述函数方法的高阶Δ-Σ调制器的稳定性分析
5. An implementation of a low power delta-sigma A/DC with a multi-bit quantizer on silicon-on-sapphire. [D] . Liu, Chia-Ming. 2002

机译：在蓝宝石上的硅上使用多位量化器实现低功耗delta-sigma A / DC。
6. A 100-Mhz Bandwidth 80-dB Dynamic Range Continuous-Time Delta-Sigma Modulator with a 2.4-Ghz Clock Rate [O] . Yao Xiao, Zhifei Lu, Zhaofeng Ren, 2020

机译：具有2.4Ghz时钟速率的100Mhz带宽80dB动态范围连续时间Δ-Σ调制器
7. A describing function study of saturated quantization and its application to the stability analysis of multi-bit sigma delta modulators [O] . Rombouts Pieter, De Bock Maarten, De Maeyer Jeroen, 2013

机译：饱和量化的描述函数研究及其在多位Σ-Δ调制器稳定性分析中的应用
8. Linear Device Applications Analysis:Delta Sigma Modulator Study. [R] . welling,peter a. 1977

机译：线性器件应用分析：Delta sigma调制器研究。

A Describing Function Study of Saturated Quantization and Its Application to the Stability Analysis of Multi-Bit Sigma Delta Modulators

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