Design of a Noise Transfer Function for Single-loop 4th-order Sigma Delta Modulators

LIU Fu-rui; MENG Xiao-feng

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Design of a Noise Transfer Function for Single-loop 4th-order Sigma Delta Modulators

更新时间：2026-09-04

- Design of a Noise Transfer Function for Single-loop 4th-order Sigma Delta Modulators
- Vol. 33, Issue 10, Pages: 68-71(2016)
- 作者机构：
  
  北京航空航天大学仪器科学与光电工程学院,北京,100191
- 作者简介：
- 基金信息：
- DOI：
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- Published：2016
- 稿件说明：
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刘富锐, 孟晓风. 单环四阶Sigma Delta调制器噪声传递函数设计[J]. 微电子学与计算机, 2016, 33(10): 68-71, 77.

LIU Fu-rui, MENG Xiao-feng. Design of a Noise Transfer Function for Single-loop 4th-order Sigma Delta Modulators[J]. 2016, 33(10): 68-71.
刘富锐, 孟晓风. 单环四阶Sigma Delta调制器噪声传递函数设计[J]. 微电子学与计算机, 2016, 33(10): 68-71, 77. DOI：

LIU Fu-rui, MENG Xiao-feng. Design of a Noise Transfer Function for Single-loop 4th-order Sigma Delta Modulators[J]. 2016, 33(10): 68-71. DOI：

摘要

为了解决单环结构高阶Sigma Delta调制器的信噪比与输入动态范围的矛盾

利用巴特沃斯滤波器和切比雪夫Ⅱ型滤波器设计了一个单环四阶Sigma Delta调制的噪声传递函数

使得系统获得较高信噪比的同时还具有良好的输入动态范围.仿真结果表明

系统峰值信噪比达到了131.9 dB

同时将噪声传递函数参数映射成FeedForward Feedback结构的模型参数

并对其进行了归一化输入幅值为-3 dB的simulink仿真

此时系统仍能获得128.7 dB的信噪比

说明系统具有良好的输入动态范围.该设计方法也可以扩展到更高阶、多位量化器和其他过采样率的Sigma Delta调制器设计中.

Abstract

In order to solve high-order single-loop structure Sigma Delta modulator SNR contradiction with input dynamic range

Butterworth filter and the Chebyshev type Ⅱ filter are used to dedign a Noise Transfer Function for single-loop 4th-order Sigma Delta Modulators

so that to obtain a higher signal to noise ratio of the system also has a good input dynamic range. The simulation results show that the system has reached the peak signal to noise ratio 131.9dB. While the noise transfer function parameters are mapped into the model parameters of FFFB structure

and normalized amplitude of -3dB input was selected for simulink simulation.We got 128.7dB of SNR from the simultation

which indicated that the dynamic range of the system is of good performace. The method mentioned in this breif can also be extended to higher order

multi-bit quantizer and other oversampling rate Sigma Delta modulator design.

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Keywords

references

Schreier R. An empirical study of high-order single-bit delta-sigma modulators[J]. Circuits and Systems Ⅱ: Analog and Digital Signal Processing, IEEE Transactions on, 1993, 40(8): 461-466. DOI: 461

New York Schreier R, Temes G C. Understanding delta-sigma data converters[M]. New York: Wiley-IEEE Press, 2005.

Yu J. Design and analysis of fixed and adaptive sigma- delta modulators[D]. King's College London: University of London, 1992.

New York Norsworthy S R, Schreier R, Temes G C. Delta-sigma data converters: theory, design, and simulation[M]. New York, IEEE press, 1997.

Lee W L. A novel higher order interpolative modulator topology for high resolution oversampling A/C converters[J]. IEEE Transactions on Circuits and Systems, 1990, 37(3): 309-318. DOI: 309

van Roermund A, Hoekstra J. Design philosophy for nanoelectronic systems, from sets to neural nets[J]. International journal of circuit theory and applications, 2000, 28(6): 563-584. DOI: 563

曹桂平. 高精度Sigma-Delta调制器研究及ASIC实现[D]. 合肥: 中国科学技术大学, 2012.

李宏星, 冯晖, 林争辉. 高阶Sigma-delta调制器传递函数设计方法[J]. 微电子学与计算机, 2004, 21(6): 147-1503. DOI: 147

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