Linearization of the sensors characteristics: a review

Today, the sensing devices play an important role for various system automation and monitoring of different physical and chemical parameters. Nonlinearity is an important long-time issue for most of the sensors, so to compensate nonlinearity, various linearization schemes are reported in the literature. The accuracy of linearization schemes depends on the type and the nonlinearity value of the sensor output. Since it is difficult to find an exact polynomial equation or other functions to represent the response curve; it gives more error when the measurement parameter is determined from the inverse approximation functions. As many sensors are used for different applications, the linearized characteristics will simplify the design, calibration, and accuracy of the measurement. This paper presents a review of different methods applied to linearize sensor characteristics reported in the literature. Due to availability of high-performance analog devices, analog methods are still popular among many researchers. However, due to the advancement of IC technologies, hardware implementation of the software methods can be done easily with reduced time, cost, and more accuracy, so the digital methods combined with software techniques perform the job with better flexibility and efficiency.

[1]  Giovanni Bucci,et al.  New ADC with piecewise linear characteristic: case study-implementation of a smart humidity sensor , 2000, IEEE Trans. Instrum. Meas..

[2]  V. Didenko,et al.  Polynomial and piece-wise linear approximation of smart transducer errors , 2002 .

[3]  Daniele Marioli,et al.  Application of an optimal look-up table to sensor data processing , 1999, IEEE Trans. Instrum. Meas..

[4]  Sugata Munshi,et al.  An analog non-linear signal conditioning circuit for constant temperature anemometer , 2006 .

[5]  Manel Gasulla,et al.  Accuracy and resolution of direct resistive sensor-to-microcontroller interfaces , 2005 .

[6]  Debangshu Dey,et al.  A Linearization Scheme for Thermistor-Based Sensing in Biomedical Studies , 2016, IEEE Sensors Journal.

[7]  Poki Chen,et al.  A Time-Domain SAR Smart Temperature Sensor With Curvature Compensation and a 3σ Inaccuracy of −0.4°C ∼ +0.6°C Over a 0°C to 90°C Range , 2010, IEEE Journal of Solid-State Circuits.

[8]  Miloslav Hruskovic,et al.  Linearization of inverse-capacitance-based displacement transducers , 2001 .

[9]  David A. Horsley,et al.  Countering the Effects of Nonlinearity in Rate-Integrating Gyroscopes , 2016, IEEE Sensors Journal.

[10]  Robert Weigel,et al.  Linearizing the Output Characteristic of GMR Current Sensors Through Hysteresis Modeling , 2010, IEEE Transactions on Industrial Electronics.

[11]  Ramon Pallàs Areny,et al.  Optimal two-point static calibration of measurement systems with quadratic response , 2004 .

[12]  Subhas Chandra Mukhopadhyay,et al.  Smart Sensors and Internet of Things: A Postgraduate Paper , 2017, IEEE Sensors Journal.

[13]  Yujiro Tanaka,et al.  Linearization Technique for Dual-Wavelength CW Photoacoustic Detection of Glucose , 2017, IEEE Sensors Journal.

[14]  Debangshu Dey,et al.  Linearization of NTC Thermistor Characteristic Using Op-Amp Based Inverting Amplifier , 2013, IEEE Sensors Journal.

[15]  Yehya H. Ghallab,et al.  A new topology for a current-mode wheatstone bridge , 2006, IEEE Transactions on Circuits and Systems II: Express Briefs.

[16]  Tarikul Islam,et al.  A Digital Hygrometer for Trace Moisture Measurement , 2014, IEEE Transactions on Industrial Electronics.

[17]  O. Postolache,et al.  Fitting transducer characteristics to measured data , 2001 .

[18]  Boby George,et al.  A Linearizing Digitizer for Wheatstone Bridge Based Signal Conditioning of Resistive Sensors , 2017, IEEE Sensors Journal.

[19]  Goutam Chakraborty,et al.  Neural-Network-Based Robust Linearization and Compensation Technique for Sensors Under Nonlinear Environmental Influences , 2008, IEEE Transactions on Circuits and Systems I: Regular Papers.

[20]  Juan Manuel Jiménez-Soto,et al.  Estimation of the limit of detection in semiconductor gas sensors through linearized calibration models. , 2018, Analytica chimica acta.

[21]  Dario Petri,et al.  Dynamic Compensation of Nonlinear Sensors by a Learning-From-Examples Approach , 2008, IEEE Transactions on Instrumentation and Measurement.

[22]  Magali R. G. Meireles,et al.  A comprehensive review for industrial applicability of artificial neural networks , 2003, IEEE Trans. Ind. Electron..

[23]  J. Fraden,et al.  Handbook of Modern Sensors: Physics, Designs, and Applications, 2nd ed. , 1998 .

[24]  Ebrahim Farshidi A Low-Voltage Current-Mode Wheatstone Bridge using CMOS Transistors , 2011 .

[25]  V. Jagadeesh Kumar,et al.  Linearizing Dual-Slope Digital Converter Suitable for a Thermistor , 2010, IEEE Transactions on Instrumentation and Measurement.

[26]  Tarikul Islam,et al.  A sensitive and highly linear capacitive thin film sensor for trace moisture measurement in gases , 2016 .

[27]  Tarikul Islam Advanced Interfacing Techniques for the Capacitive Sensors , 2017 .

[28]  Jafar Ghaisari,et al.  Intelligent Selection of Calibration Points Using a Modified Progressive Polynomial Method , 2012, IEEE Transactions on Instrumentation and Measurement.

[29]  D. Krater,et al.  Development of a Microwave Proximity Sensor for Industrial Applications , 2008, IEEE Sensors Journal.

[30]  T. Islam,et al.  Relaxation Oscillator-Based Active Bridge Circuit for Linearly Converting Resistance to Frequency of Resistive Sensor , 2013, IEEE Sensors Journal.

[31]  Lazhar Ben-Brahim,et al.  A high precision resolver-to-DC converter , 2005, IEEE Transactions on Instrumentation and Measurement.

[32]  J. Rivera,et al.  Improved progressive polynomial algorithm for self-calibration and optimal response in smart sensors , 2009 .

[33]  L. Bengtsson,et al.  Lookup Table Optimization for Sensor Linearization in Small Embedded Systems , 2012 .

[34]  Ferran Reverter,et al.  Direct interface circuit to linearise resistive sensor bridges , 2008 .

[35]  Weifeng Sun,et al.  Wide range temperature sensor with adaptive nonlinearity cancellation (ANC) technique for HVICs , 2016 .

[36]  A. Abudhahir,et al.  An evolutionary optimized nonlinear function to improve the linearity of transducer characteristics , 2008 .

[37]  Hiranmay Saha,et al.  ANN-based signal conditioning and its hardware implementation of a nanostructured porous silicon relative humidity sensor , 2006 .

[38]  Zhichao Li,et al.  A Closed-Loop Operation to Improve GMR Sensor Accuracy , 2016, IEEE Sensors Journal.

[39]  Tarikul Islam,et al.  Temperature Effect on Capacitive Humidity Sensors and its Compensation Using Artificial Neural Networks , 2015 .

[40]  V. Pathirana,et al.  Experimental, analytical and numerical investigation of non-linearity of SOI diode temperature sensors at extreme temperatures , 2015 .

[41]  S. Mukhopadhyay,et al.  A Novel Sol–Gel Thin-Film Constant Phase Sensor for High Humidity Measurement in the Range of 50%–100% RH , 2015, IEEE Sensors Journal.

[42]  Tae Bong Eom,et al.  A digital signal processing module for real-time compensation of nonlinearity in a homodyne interferometer using a field-programmable gate array , 2009 .

[43]  K. Sengupta,et al.  A Medium-Range Hygrometer Using Nano-Porous Thin Film of $\gamma $ -$\hbox{Al}_{2} \hbox{O} _{3}$ With Electronics Phase Detection , 2012, IEEE Sensors Journal.

[44]  Hiranmay Saha,et al.  Study of long-term drift of a porous silicon humidity sensor and its compensation using ANN technique , 2007 .

[45]  Alessandra Flammini,et al.  Transducer output signal processing using an optimal look-up table in microcontroller-based systems , 1997 .

[46]  Mairtin O'Droma,et al.  Signal modeling classes for linearized OFDM SSPA behavioral analysis , 2005, IEEE Communications Letters.

[47]  Horia-Nicolai L. Teodorescu Fuzzy logic system linearization for sensors , 2017, 2017 International Symposium on Signals, Circuits and Systems (ISSCS).

[48]  Meiying Ye,et al.  Hysteresis and nonlinearity compensation of relative humidity sensor using support vector machines , 2008 .

[49]  Siddhartha Sen,et al.  Design and performance evaluation of two novel linearisation circuits for giant magneto-resistance based sensors , 2017, IET Circuits Devices Syst..

[50]  Martti Juhola,et al.  Intelligent sensors using computationally efficient Chebyshev neural networks , 2008 .

[51]  A. Carlosena,et al.  Sensor signal linearization techniques: A comparative analysis , 2013, 2013 IEEE 4th Latin American Symposium on Circuits and Systems (LASCAS).

[52]  Boby George,et al.  A simple microcontroller based digitizer for differential inductive sensors , 2015, 2015 IEEE International Instrumentation and Measurement Technology Conference (I2MTC) Proceedings.

[53]  Ernesto Serrano-Finetti,et al.  Low-Power Direct Resistive Sensor-to-Microcontroller Interfaces , 2016, IEEE Transactions on Instrumentation and Measurement.

[54]  Reinoud F. Wolffenbuttel,et al.  Systematic Approach for the Linearization and Readout of Nonsymmetric Impedance Bridges , 2006, IEEE Transactions on Instrumentation and Measurement.

[55]  Utpal Sarma,et al.  Design and development of a high precision thermocouple based smart industrial thermometer with on line linearisation and data logging feature , 2010 .

[56]  Tarikul Islam,et al.  Precision Active Bridge Circuit for Measuring Incremental Resistance with ANN Compensation of Excitation Voltage Variation , 2011, J. Sens. Technol..

[57]  G. Korotcenkov,et al.  Instability of metal oxide-based conductometric gas sensors and approaches to stability improvement (short survey) , 2011 .

[58]  Gurum Ahmad Pauzi,et al.  Calibration and Digital Linearization of Ultrasonic Transducer Response , 2014 .

[59]  Xuan Li,et al.  Precise and robust position estimation for optical incremental encoders using a linearization technique , 2015 .

[60]  Yonghui Hu,et al.  Software compensation technology of the piezoelectric fluidic gyroscope based on DSP , 2017, 2017 IEEE 2nd Information Technology, Networking, Electronic and Automation Control Conference (ITNEC).

[61]  Octavian Postolache,et al.  PDF-Based Progressive Polynomial Calibration Method for Smart Sensors Linearization , 2009, IEEE Transactions on Instrumentation and Measurement.

[62]  Goutam Chakraborty,et al.  Development of Laguerre Neural-Network-Based Intelligent Sensors for Wireless Sensor Networks , 2011, IEEE Transactions on Instrumentation and Measurement.

[63]  Vaegae Naveen Kumar,et al.  Development of an ANN-Based Linearization Technique for the VCO Thermistor Circuit , 2015, IEEE Sensors Journal.

[64]  Ernest Otto Doebelin,et al.  Measurement Systems Application and Design , 1966 .

[65]  J.V. FonsecaNeto,et al.  Look-up table and breakpoints determination for piecewise linear approximation functions using evolutionary computation , 2003, Proceedings of the 20th IEEE Instrumentation Technology Conference (Cat. No.03CH37412).

[66]  Jinwei Sun,et al.  Free knot recursive B-spline for compensation of nonlinear smart sensors , 2011 .

[67]  Ana Silva,et al.  Linearization strategies for high sensitivity magnetoresistive sensors , 2015 .

[68]  A. Stelzer,et al.  Signal model and linearization for nonlinear chirps in FMCW Radar SAW-ID tag request , 2006, IEEE Transactions on Microwave Theory and Techniques.

[69]  Slobodan Obradovic,et al.  A Simple 2D Digital Calibration Routine for Transducers , 2006 .

[70]  Toshko G. Nenov,et al.  Linearization Circuit of the Thermistor Connection , 2009, IEEE Transactions on Instrumentation and Measurement.

[71]  Debdulal Saha,et al.  Implementation of linear trace moisture sensor by nano porous thin film moisture sensor and NLAmp , 2008 .

[72]  Silvia Casans Berga,et al.  Constant Current Drive for Resistive Sensors Based on Generalized Impedance Converter , 2008, IEEE Transactions on Instrumentation and Measurement.

[73]  Pedro Julián,et al.  Integrated circuit implementation of multi-dimensional piecewise-linear functions , 2010, Digit. Signal Process..

[74]  Sugata Munshi,et al.  A synergy of voltage-to-frequency converter and continued-fraction algorithm for processing thermocouple signals , 2018 .

[75]  Satish Chandra Bera,et al.  Study of a Simple Linearization Technique of p-n-Junction-Type Anemometric Flow Sensor , 2012, IEEE Transactions on Instrumentation and Measurement.

[76]  Tarikul Islam,et al.  An efficient signal conditioning circuit to piecewise linearizing the response characteristic of highly nonlinear sensors , 2018, Sensors and Actuators A: Physical.

[77]  Boby George,et al.  A Linearizing Digitizer for Differential Sensors With Polynomial Characteristics , 2014, IEEE Transactions on Instrumentation and Measurement.

[78]  Santiago Marco,et al.  Multivariate estimation of the limit of detection by orthogonal partial least squares in temperature-modulated MOX sensors. , 2018, Analytica chimica acta.

[79]  Ichiko Misumi,et al.  Simple, real-time method for removing the cyclic error of a homodyne interferometer with a quadrature detector system. , 2005, Applied optics.

[80]  S C Bera,et al.  An opto-isolator based linearization technique of a typical thyristor driven pump. , 2012, ISA transactions.

[81]  P.S. Girao,et al.  A Digitally Programmable A/D Converter for Smart Sensors Applications , 2005, 2005 IEEE Instrumentationand Measurement Technology Conference Proceedings.

[82]  Subhas Chandra Mukhopadhyay,et al.  A Simple Embedded Sensor: Excitation and Interfacing , 2017 .

[83]  S. Rudtsch,et al.  Calibration and self-validation of thermistors for high-precision temperature measurements , 2015 .

[84]  T. Kashiwa,et al.  A novel linearizing technique using dual diode based linearizers for lightweight power amplifiers , 2005, 2005 European Microwave Conference.

[85]  Robert Weigel,et al.  Correcting nonlinearity and temperature influence of sensors through B-spline modeling , 2010, 2010 IEEE International Symposium on Industrial Electronics.

[86]  Richard B. Brown,et al.  A mixed-signal sensor interface microinstrument , 2001 .

[87]  Neil M. White,et al.  Application of analog adaptive filters for dynamic sensor compensation , 2005, IEEE Transactions on Instrumentation and Measurement.

[88]  Shantanu Chakrabartty,et al.  Linearization of CMOS Hot-Electron Injectors for Self-Powered Monitoring of Biomechanical Strain Variations , 2017, IEEE Transactions on Biomedical Circuits and Systems.

[89]  D. Patranabis,et al.  Linearizing transducer characteristics , 1988 .

[90]  Bogdan M. Wilamowski,et al.  Compensation of Nonlinearities Using Neural Networks Implemented on Inexpensive Microcontrollers , 2011, IEEE Transactions on Industrial Electronics.

[91]  C. S. Anoop,et al.  A simple direct-digitizer for Giant magneto-resistance based sensors , 2016, 2016 IEEE International Instrumentation and Measurement Technology Conference Proceedings.

[92]  Anghel CONSTANTIN Optimal design and modeling of tactile resistive and capacitive sensors interfaces used in modern mechatronics , 2018 .

[93]  I. Pappas,et al.  Current Mode Interfacing Circuit for Flow Sensing Based on Hot-Wire Anemometers Technique , 2011 .

[94]  Hiranmay Saha,et al.  A hygrometer comprising a porous silicon humidity sensor with phase-detection electronics , 2003 .

[95]  Siddhartha Sen,et al.  Simple linearising front-end-circuit for giant magneto-resistance sensors , 2018 .

[96]  Mohieddine Benammar,et al.  A novel amplitude-to-phase converter for sine/cosine position transducers , 2007 .

[97]  P. Sankaran,et al.  A new compensation scheme for thermistors and its implementation for response linearization over a wide temperature range , 1993 .

[98]  Panayiotis A. Kyriacou,et al.  The effects of thermistor linearization techniques on the T-history characterization of phase change materials , 2012 .

[99]  Hamit Erdem Implementation of software-based sensor linearization algorithms on low-cost microcontrollers. , 2010, ISA transactions.

[100]  B. C. Baker Advances in Measuring with Nonlinear Sensors , 2005 .

[101]  Nicolás J. Medrano-Marqués,et al.  Sensor linearization with neural networks , 2001 .

[102]  Pasquale Daponte,et al.  Artificial neural networks in measurements , 1998 .

[103]  Mounir Bouhedda Neuro-fuzzy sensor's linearization based FPGA , 2013, 2013 IEEE 7th International Conference on Intelligent Data Acquisition and Advanced Computing Systems (IDAACS).

[104]  Chun-Chi Chen,et al.  A Linearization Time-Domain CMOS Smart Temperature Sensor Using a Curvature Compensation Oscillator , 2013, Sensors.

[105]  Antonio J. López-Martín,et al.  A CMOS A/D Converter with Piecewise Linear Characteristic and Its Application to Sensor Linearization , 2003 .

[106]  Brent Maundy,et al.  Strain Gauge Amplifier Circuits , 2013, IEEE Transactions on Instrumentation and Measurement.

[107]  O. Postolache,et al.  Adaptive Self-Calibration Algorithm for Smart Sensors Linearization , 2005, 2005 IEEE Instrumentationand Measurement Technology Conference Proceedings.

[108]  Dragan Denić,et al.  A Novel Design Of An NTC Thermistor Linearization Circuit , 2015 .

[109]  Yongsheng Shi,et al.  Design of a precise and robust linearized converter for optical encoders using a ratiometric technique , 2014 .

[110]  Gourab Sen Gupta,et al.  Embedded Microcontroller Interfacing - Designing Integrated Projects , 2010, Lecture Notes in Electrical Engineering.