Abstract
This paper presents a capacitor calibration technique called median selection for improving the static and dynamic performance of the successive approximation register (SAR) analog-to-digital converter (ADC). Monte Carlo simulations in MATLAB are presented to demonstrate the effect of the proposed method. Simulation results show that for an 18-bit RC-hybrid SAR ADC with the mismatch of the unit capacitor (\({\sigma _u} = {{{\sigma _0}}\big / {{C_u}}}\)) of 0.05%, the root mean square (rms) of differential nonlinearity is improved by 94.7%–0.23 LSB and the rms of integral nonlinearity is promoted by 96.7%–0.20 LSB by the proposed median selection. On the other hand, the median selection improves the mean value of the spurious free dynamic range from 94.09 to 128.85 dB, while the mean value of the signal-to-noise-and-distortion ratio is improved from 88.70 to 109.82 dB.



















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References
S. Buss, A. Knop, Strategies for stable merge sorting, in Proceedings of the 13th Annual ACM-SIAM Symposium on Discrete Algorithms (SIAM, New York, 2019), pp. 1272–1290
A. Chaudhuri, W. Hu, A fast algorithm for computing distance correlation. Comput. Stat. Data Anal. 135, 15–24 (2019)
Y. Chung, The swapping binary-window DAC switching technique for SAR ADCs, in 2013 IEEE International Symposium on Circuits and Systems (ISCAS2013) (2013), pp. 2231–2234
H. Fan, A novel redundant cyclic method to improve the SFDR of SAR ADC. Analog Integr. Circ. Sig. Process 89(2), 485–492 (2016)
H. Fan, H. Heidari, F. Maloberti, D. Li, D. Hu, Y. Cen, High resolution and linearity enhanced SAR ADC for wearable sensing systems, in 2017 IEEE International Symposium on Circuits and Systems (ISCAS) (2017), pp. 1–4
H. Fan, D. Li, K. Zhang, Y. Cen, Q. Feng, F. Qiao, H. Heidari, A 4-channel 12-bit high-voltage radiation-hardened digital-to-analog converter for low orbit satellite applications. IEEE Trans. Circuits Syst. I Regul. Pap. 65(11), 3698–3706 (2018)
H. Fan, J. Li, Q. Feng, X. Diao, L. Lin, K. Zhang, H. Sun, H. Heidari, Exploiting smallest error to calibrate non-linearity in SAR ADCs. IEEE Access 6, 42930–42940 (2018)
H. Fan, F. Maloberti, High-resolution SAR ADC with enhanced linearity. IEEE Trans. Circuits Syst. II Express Briefs 64(10), 1142–1146 (2017)
H. Fan, J. Yang, F. Maloberti, Q. Feng, D. Li, D. Hu, Y. Cen, H. Heidari, High linearity SAR ADC for high performance sensor system, in 2018 IEEE International Symposium on Circuits and Systems (ISCAS) (2018), pp. 1–4
A.J. Ginés, E.J. Peralías, A. Rueda, Black-box calibration for ADCs with hard nonlinear errors using a novel INL-based additive code: a pipeline ADC case study. IEEE Trans. Circuits Syst. I Regul. Pap. 64(7), 1718–1729 (2017)
S. Haenzsche, S. Henker, R. Schüffny, Modelling of capacitor mismatch and non-linearity effects in charge redistribution SAR ADCs, in 2010 Proceedings of the 17th International Conference Mixed Design of Integrated Circuits and Systems (MIXDES) (IEEE, New York, 2010), pp. 300–305
H. Khorramabadi, EE 247 Analog-Digital Interface Integrated Circuits Lecture Notes. http://www-inst.eecs.berkeley.edu/~ee247/fa10/files07/lectures/L14_2_f10.pdf (2010). Accessed 9 Feb. 2020
M. Koutsomichalis, B. Gambäck, Generative solid modelling employing natural language understanding and 3D data, in International Conference on Computational Intelligence in Music, Sound, Art and Design (Springer, Berlin, 2018), pp. 95–111
C. Kuo, T. Kuo, Capacitor-swapping cyclic A/D conversion techniques with reduced mismatch sensitivity. IEEE Trans. Circuits Syst. II Express Briefs 55(12), 1219–1223 (2008)
H. Lee, D.A. Hodges, P.R. Gray, A self-calibrating 15 bit CMOS A/D converter. IEEE J. Solid-State Circuits 19(6), 813–819 (1984)
L. Liu, D. Xu, S. Xu, Rapid calibration of bits weights error for high-resolution successive approximation register ADC. IET Circuits Dev. Syst. 13(3), 368–373 (2019)
X. Pang, O. Ozolins, R. Lin, L. Zhang, A. Udalcovs, L. Xue, R. Schatz, U. Westergren, S. Xiao, W. Hu, G. Jacobsen, S. Popov, J. Chen, 200 Gbps/Lane IM/DD technologies for short reach optical interconnects. J. Lightw. Technol. 38(2), 492–503 (2020)
A. Salib, M.F. Flanagan, B. Cardiff, A generic foreground calibration algorithm for ADCs with nonlinear impairments. IEEE Trans. Circuits Syst. I Regul. Pap. 66(5), 1874–1885 (2019)
Z. Su, H. Wang, H. Zhao, X. Liu, F.F. Dai, An 8-bit 80-MS/s fully self-timed SAR ADC with 3/2 interleaved comparators and high-order PVT stabilized HBT bandgap reference, in 2019 IEEE International Symposium on Circuits and Systems (ISCAS) (2019), pp. 1–4
M. Todorova, S. Kapralov, V. Dyankova, Application of sorting algorithms for convex hull determination. Math. Softw. Eng. 4(2), 24–27 (2018)
N. Verma, A.P. Chandrakasan, An ultra low energy 12-bit rate-resolution scalable SAR ADC for wireless sensor nodes. IEEE J. Solid-State Circuits 42(6), 1196–1205 (2007)
W. Wang, R. Huang, G. Sun, W. Mao, X. Zhu, A digital background calibration technique for split DAC based SAR ADC by using redundant cycle, in 2015 28th IEEE International System-on-Chip Conference (SOCC) (2015), pp. 231–234
F. Ye, S. Li, M. Zhu, Z. Ni, J. Ren, A 13-bit 180-MS/s SAR ADC with efficient capacitor-mismatch estimation and dither enhancement, in 2019 IEEE International Symposium on Circuits and Systems (ISCAS) (2019), pp. 1–4
Z. Yu, J. Zou, Z. Chen, J. Wei, X. Su, H. Zhang, High precision mix-signal capacitor mismatch error calibration method for charge-domain pipelined ADC. Chin. J. Electron. 28(2), 223–228 (2019)
D. Zhang, A. Alvandpour, Analysis and calibration of nonbinary-weighted capacitive DAC for high-resolution SAR ADCs. IEEE Trans. Circuits Syst. II Express Briefs 61(9), 666–670 (2014)
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The work of Hua Fan was supported by the National Natural Science Foundation of China (NSFC) under Grant 61771111, supported by Sichuan Provincial Science and Technology Important Projects under Grant 19ZDYF2863, as well as supported by China Postdoctoral Science Foundation under Grants 2017M612940 and 2019T120834 and Special Foundation of Sichuan Provincial Postdoctoral Science Foundation. The work of Quanyuan Feng was supported by the National Natural Science Foundation of China (NSFC) under Grant 61531016, supported by Sichuan Provincial Science and Technology Important Projects under Grants 2018GZ0139, 2018ZDZX0148, and 2018GZDZX0001.
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Fan, H., Wang, C. & Feng, Q. Median Selection for Calibrating the Capacitor Mismatch to Improve the Linearity of Analog-to-Digital Converter. Circuits Syst Signal Process 39, 5331–5351 (2020). https://doi.org/10.1007/s00034-020-01434-6
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DOI: https://doi.org/10.1007/s00034-020-01434-6