A double-nonuniform single-flash piecewise linear ADC used for linearization of sinusoidal sensors

Jelena Jovanović; Dragan Denić

doi:10.2478/jee-2025-0021

Abstract

This paper presents a double-nonuniform single-flash piecewise linear analog-to-digital converter (ADC) of a compact design that linearizes sinusoidal sensors. Unlike conventional two-stage piecewise linear ADCs, the proposed architecture employs a single flash ADC and a single resistor ladder network, consisting of resistors with different resistance values, to perform two nonuniform conversion stages. The proposed architecture employs a reduced number of comparators and resistors by at least 50% compared to the conventional two-stage piecewise linear ADCs, yielding substantial advantages such as a more compact structure, improved energy efficiency and lower production costs. Additionally, a 16-bit double-nonuniform single-flash piecewise linear ADC significantly mitigates the nonlinearity of sinusoidal sensors used for angular position determination, reducing the maximal absolute nonlinearity error to just 0.001 rad, while the relative nonlinearity error is reduced to a value as low as 0.083%.

References

J. G. Webster and H. Eren, Measurement, Instrumentation, and Sensors Handbook: Spatial, Mechanical, Thermal, and Radiation Measurement. Boca Raton: CRC Press, 2014.
Search in Google Scholar Back to article
J. Zhao, W. Ou, N. Cai, Z. Wu, and H. Wang, “Measurement error analysis and compensation for optical encoders: A review,” IEEE Transactions on Instrumentation and Measurement, vol. 73, pp. 1–30, 1006230, 2024. doi: 10.1109/TIM.2024.3417589
Search in Google Scholar Back to article
M. A. Haidekker, Linear Feedback Controls-The Essentials. London: Elsevier, Inc., 2013.
Search in Google Scholar Back to article
A. J. Lopez-Martin, and A. Carlosena, “Sensor signal linearization techniques: A comparative analysis,” in Proc. IEEE 4th Latin American Symposium on Circuits and Systems (LASCAS), Cusco, Peru, pp. 1–4, 2013. doi: 10.1109/LASCAS.2013.6519013
Search in Google Scholar Back to article
T. Islam, and S. C. Mukhopadhyay, “Linearization of the sensors characteristics: a review,” International Journal on Smart Sensing and Intelligent Systems, vol. 12, no. 1, pp. 1–21, 2019. doi: 10.21307/ijssis-2019-007
Search in Google Scholar Back to article
M. B. Marinov, N. Nikolov, S. Dimitrov, T. Todorov, Y. Stoyanova, and G. T. Nikolov, “Linear interval approximation for smart sensors and IoT devices,” Sensors, vol. 22, no. 3, pp. 949, 2022. doi: 10.3390/s22030949
Search in Google Scholar Back to article
M. Benammar, and A. S. P. Gonzales, “A novel PLL resolver angle position indicator,” IEEE Transactions on Instrumentation and Measurement, vol. 65, no. 1, pp. 123–131, 2016. doi: 10.1109/TIM.2015.2476280
Search in Google Scholar Back to article
M. Benammar, and A. S. P. Gonzales, “Position measurement using sinusoidal encoders and all-analog PLL converter with improved dynamic performance,” IEEE Transactions on Industrial Electronics, vol. 63, no. 4, pp. 2414–2423, 2016. doi: 10.1109/TIE.2015.2506630
Search in Google Scholar Back to article
W. Petchmaneelumka, P. Mano, K. Songsuwankit, and V. Riewruja, “High-accuracy resolver-to-linear signal converter,” International Journal of Electronics, vol. 105, no. 9, pp. 1520–1534, 2018. doi: 10.1080/00207217.2018.1461250
Search in Google Scholar Back to article
M. Benammar, A. Khattab, S. Saleh, F. Bensaali, and F. Touati, “A sinusoidal encoder-to-digital converter based on an improved tangent method,” IEEE Sensors Journal, vol. 17, no. 16, pp. 5169–5179, 2017. doi: 10.1109/JSEN.2017.2723619
Search in Google Scholar Back to article
A. J. Lopez-Martin, M. Zuza, and A. Carlosena, “A CMOS A/D converter with piecewise linear characteristic and its application to sensor linearization,” Analog Integrated Circuits and Signal Processing, vol. 36, no. 1, pp. 39–46, 2003. doi: 10.1023/A:1024437311497
Search in Google Scholar Back to article
J. Jovanović, D. Denić, and U. Jovanović, “An improved linearization circuit used for optical rotary encoders,” Measurement Science Review, vol. 17, no. 5, pp. 241–249, 2017. doi: 10.1515/msr-2017-0029
Search in Google Scholar Back to article
J. Jovanović, and D. Denić, “Mixed-mode method used for Pt100 static transfer function linearization,” Measurement Science Review, vol. 21, no. 5, pp. 142–149, 2021. doi: 10.2478/msr-2021-0020
Search in Google Scholar Back to article
J. Jovanović, and D. Denić, “NTC thermistor nonlinearity compensation using Wheatstone bridge and novel dual-stage single-flash piecewise-linear ADC,” Metrology and Measurement Systems, vol. 28, no. 3, pp. 523–537, 2021. doi: 10.24425/mms.2021.136616
Search in Google Scholar Back to article
A. Kumary, and S. Rao, “Design techniques of flash ADC: Review,” Advances in Communication, Signal Processing, VLSI, and Embedded Systems. Lecture Notes in Electrical Engineering, vol. 614, pp. 89–95, Singapore, Springer, 2020. doi: 10.1007/978-981-15-0626-0_8
Search in Google Scholar Back to article
H.-H. Thai, C.-K. Pham, and D.-H. Le, “Design of a low-power and low-area 8-bit flash ADC using a double-tail comparator on 180 nm CMOS process,” Sensors, vol. 23, no. 1, pp. 76, 2023. doi: 10.3390/s23010076
Search in Google Scholar Back to article
J. Jovanović, D. Denić, D. Živanović, I. Ranđelović, M. Dinčić, and G. Miljković, “Nonlinearity compensation of an angular position encoder using a compact linearization circuit,” in Proc. XVII International Conference on Systems, Automatic Control and Measurements (SAUM 2024), Niš, Serbia, pp. 96–99, 2024. doi: 10.46793/SAUM24.096J
Search in Google Scholar Back to article
J. Jovanović, D. Denić, U. Jovanović, and D. Živanović, “Nonlinearity compensation and accuracy improvement method for an optical rotary encoder,” Facta Universitatis, Series: Automatic Control and Robotics, vol. 20, no. 3, pp. 167–178, 2021. doi: 10.22190/FUACR211101013J
Search in Google Scholar Back to article
National Instruments. (2023). LabVIEW Software. Version 2023. Available from https://www.ni.com/labview/
Search in Google Scholar Back to article

A double-nonuniform single-flash piecewise linear ADC used for linearization of sinusoidal sensors

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