Abstract
A statistical estimator based on Bayes Estimation theory is developed in this paper to simultaneously reduce capacitor mismatch and noise in a successive approximation register analogue-to-digital converter (SAR-ADC). Once the SAR-ADC has completed its quantization process, the residue voltage is available at the comparator input and can be estimated accurately using the Bayesian estimator. The ADC resolution is improved by subtracting the estimated residue from the digital output. The same technique of residue extraction is then used to estimate mismatches in the capacitive digital-to-analogue converter. A 15 dB improvement is observed in signal-to-noise-plus-distortion ratio by using the statistical estimator for a 10-bit SAR over a wide range of capacitance mismatch and ADC noise.
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Chiang, S. H. W., & Swindlehurst, E. (2015). Histogram-based calibration of capacitor mismatch in SAR ADCs. Electronics Letters,51(25), 2096–2098.
Verbruggen, B., et al. (2015). A 60 dB SNDR 35 MS/s SAR ADC with comparator-noise-based stochastic residue estimation. IEEE Journal of Solid-State Circuits,50(9), 1–10.
Chen, L., et al. (2015). A 10.5-b ENOB 645 nW 100kS/s SAR ADC with statistical estimation based noise reduction. In Custom integrated circuit conference IEEE, 2015.
Chen, L., et al. (2017). A 0.7-V 0.6-μW 100-kS/s low-power SAR ADC with statistical estimation-based noise reduction. IEEE Journal of Solid-State Circuits,2017, 1–11.
Banerjee, I., & Sanyal, A. (2017). Statistical estimator for simultaneous noise and mismatch suppression in SAR ADC. Electronics Letters,53(12), 773–775.
Casella, G., & Berger, R. (1990). Statistical inference. London: Duxbury Press.
Mendenhall, W. M., & Sincich, T. L. (2016). Statistics for engineering and the sciences. New York: Chapman and Hall/CRC.
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Lei, Z., Xiaolin, Z. Mismatch suppression and noise reduction for SAR-ADC with Bayes estimation method. Analog Integr Circ Sig Process 102, 379–388 (2020). https://doi.org/10.1007/s10470-019-01573-0
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DOI: https://doi.org/10.1007/s10470-019-01573-0