hyperpicc / Digital-Calibration-of-SAR-ADC

Successive Approximation Register (SAR) ADC Digital Calibration (in Matlab)

Digital Calibration of SAR ADC

Successive Approximation Register (SAR) ADC Digital Calibration

• Overview
  • Code
• Theory
  • Charge Redistribution
  • Redundant
•   Tutorial
  • Matlab
  • Mathtype
  • Latex
  • Markdwon
  • Matplotlib

Overview

Code

This Code part contains:

1. An executable file (Run_SAR_ccliu.m) to auto-test the ADC model and output its dynamic performance and also the averaging energy consumption.

2. Behavioral Model file (SAR_ccliu.m) of a popular SAR ADC architecture proposed by Liu et al. [1].

3. Fast Fourier Transfromation (FFT) file (SNR_ADC.m) to test the dynamic performance of the SAR ADC beharvioral model.

4. Hodiewindow function file (hodiewindow.m) which is needed for doing the FFT.

5. Err_compare function file (err_compare.m) to emulate the decision error occurs in the SAR process.

6. Behavioral Model file (SAR_conventional.m) of the conventional SAR ADC architecture in [1], newly uploaded by Whove.

7. Behavioral Model file (SAR_ccliu_10b_rd.m) of redundant algorithm proposed in [3].

8. Full adder function file (full_adder.m) to implement the full-adder.

9. Behavioral Model file (SAR_JSSC_shen.m, Flash_JSSC_shen.m and SAR_JSSC_shen_10repeat.m) of the SAR algorithm Shen et al. presented in [4].

10. Decimal to Binary function file (decimal2binary.m) to implement decimal to binary conversion.

11. Behavioral Model file (SAR_project18_10repeat.m) of the same SAR algorithm as [4] but changes to an 18-bit SAR ADC.

Theory

Charge Redistribution

See the PDF file (Proposed SAR ADC.pdf). It well explains the "Charge Redistribution Theory" of the proposed ADC architecture in [1].

And for the split structure in [2], see figure below:

Redundant

The redundant is a design method for mitigating the effect of decision error occurs in SAR ADC. The decision error is a settling problem during the charge redistribution. (for more info, please refer to Liu et al. [3].)

The implementation of the redundant in a 10-b SAR ADC is like this:

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Reference

[1]: Liu et al. - 2010 - A 10-bit 50-MSs SAR ADC with a monotonic capacitor switching procedure.

[2]: Yoshioka et al. - 2010 - A 10-b 50-MSs 820-μW SAR ADC with on-chip digital calibration

[3]: Liu et al. - 2010 - A 10b 100MSs 1.13mW SAR ADC with binary-scaled error compensation

[4]: Shen et al. - 2017 - A 16-bit 16MS s SAR ADC with On-Chip Calibration in 55nm CMOS

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Tutorial

Matlab

Matlab is a powerful tool to conduct scientific research and implement your ideas.

用处：用于数学建模及仿真。

Matlab教程：Matlab官方教程

比看教程更有效率的学习方法：直接上手，遇到不懂的直接baidu。

Mathtype

Mathtype is a tool to type your mathematical equations.

用处：用于公式编辑。

Mathtype极为简单，易于上手。

需要注意的地方： 在Preference->Cut and Copy Preference 中，可以对拷贝的输出格式进行设置，默认为Equation Object， 适合直接拷贝进word中；还有MathML格式，适合拷贝进Latex中，极为方便。

Latex

Latex is a high-quality typesetting system; it includes features designed for the production of technical and scientific documentation.

用处：用于论文写作。

Latex教程：LaTeX新人教程，30分钟从完全陌生到基本入门

Markdown

Markdown语言是一种轻量化的标记语言，支持HTML。

用处：写blog，写readme，分享自己的idea。

Markdown教程：othree的Markdwon简明教程

Matplotlib

Matplotlib是Python的一个功能强大的绘图库（需要提前安装python）。

用处：可用于绘制各种fancy的图片（知乎：如何在论文中画出漂亮的插图？）。

Matplotlib安装教程：python:安装pylab模块

Matplotlib使用教程：Matplotlib Tutorial(译)