• 一种用于SAR ADC的迭代式数字前台自校准算法

    An iterative digital frontier-end self calibration method for SAR ADC

    • 基于0.18 μm CMOS工艺,设计了一款16位分辨率、2 MS/s采样率的逐次逼近型模数转换器(SAR ADC)。该ADC采用全差分结构与Vcm-based开关切换策略,有效抑制共模噪声和偶次谐波失真,同时优化功耗与面积。针对高精度SAR ADC中因工艺偏差引起的电容失配问题,提出一种基于电荷平衡原理的数字前台自校准算法。该算法利用电容阵列自身复用为校准工具,无需额外模拟校准电路,即可实现高位电容失配的精确测量;同时,采用迭代校准方法,利用已初步校准的高位电容阵列对低位校准DAC的失配误差进行再测量与修正,从而系统性地消除了传统校准方案中低位校准DAC自身失配带来的的误差传递瓶颈。仿真结果表明:在引入0.5%电容失配的条件下,校准后ADC的信噪失真比由65.5 dB提升至87.3 dB,有效位数由10.59 bit提升至14.21 bit,无杂散动态范围等关键指标亦显著改善。该自校准方法能够有效克服电容失配所致的非线性误差,显著恢复ADC的静态线性度与动态性能。

       

      Abstract: Herein, a successive approximation register analog-to-digital converter (SAR ADC) featuring 16-bit resolution and a 2 MS/s sampling rate is designed based on the 0.18 μm CMOS process. The ADC employs a fully differential structure and a Vcm-based switching scheme to effectively suppress common-mode noise, improve even-order harmonic distortion, while optimizing system power consumption and area. To address the capacitor mismatch issue caused by process variations in high-precision SAR ADCs, this work proposes a foreground digital self-calibration algorithm based on the charge-balance principle. The core innovation of this algorithm lies in reusing the capacitor array itself as the calibration tool, eliminating the need for additional analog calibration circuits. It achieves precise measurement of high-bit capacitor mismatch through this approach, and employs an iterative calibration methodology that utilizes the preliminarily calibrated high-bit capacitor array to remeasure and correct the mismatch errors in the low-bit calibration DAC itself, thereby systematically resolving the error propagation bottleneck inherent in traditional calibration schemes due to inaccuracies in the calibration DAC. To validate the effectiveness of the proposed architecture and calibration algorithm, comprehensive simulation verification is conducted. Simulation results demonstrate that with an introduced capacitor mismatch of 0.5%, the signal-to-noise-and-distortion ratio (SNDR) of the ADC improves from 65.5 dB to 87.3 dB, and the effective number of bits (ENOB) increases from 10.59 bit to 14.21 bit after calibration, while other key figures of merit such as spurious-free dynamic range (SFDR) are also significantly enhanced. The results confirm that the proposed self-calibration method effectively overcomes the nonlinearity arising from capacitor mismatch and substantially restores both the static linearity and dynamic performance of the ADC.

       

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