{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,12,16]],"date-time":"2025-12-16T12:25:01Z","timestamp":1765887901204,"version":"build-2065373602"},"reference-count":42,"publisher":"MDPI AG","issue":"7","license":[{"start":{"date-parts":[[2017,6,30]],"date-time":"2017-06-30T00:00:00Z","timestamp":1498780800000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Sensors"],"abstract":"<jats:p>Inductive proximity sensors (IPSs) present a unique no-contact advantage. They are widely preferred for displacement measurement in various industrial fields (e.g., aviation and aerospace), and they are improved continuously. When the inductance and resistance components of the IPS sensing core are separated, the influence of temperature drift on measurement can be eliminated. The complexity of online computation of component separation can be reduced using a two-dimensional look-up table method. However, this method exhibits disadvantages, such as large capacity of the look-up table, dependency on precision measurement of sensing core parameter, and nonlinear distribution of measurement resolution. This study aims to overcome these disadvantages by examining the nonlinear relationship between the response of the sensing core and the ambient temperature, and proposes a dimension-reduced measurement method. The proposed method extracts the characteristics of the response curves at two temperatures and calculates the characteristics of the response curves at any temperature using a linear approximation. The look-up table capacity is less than 0.37% of the two-dimensional look-up table capacity (condensed) under the same condition; dimension reduction enables the construction of a complete look-up table directly by calibration procedures and avoids precise measurement on sensing core parameters; the calibration procedures establish uniform mapping of the distribution of measurement resolution. The experiment shows that, when the measurement ranges are 0\u20136, 0\u20135, and 0\u20134 mm, the maximum measurement errors are 0.140, 0.065, and 0.040 mm, respectively, under temperature ranging from 20      \u2218    C to 110      \u2218    C. This study extends the measurement range from 0\u20135 mm to 0\u20137 mm and improves the measurement accuracy over 0.1 mm (50% at 5 mm) compared with the two-dimensional look-up table method. Therefore, the proposed method not only inherits the advantages of the original method but also achieves the above-mentioned expected capacity improvements effectively.<\/jats:p>","DOI":"10.3390\/s17071533","type":"journal-article","created":{"date-parts":[[2017,6,30]],"date-time":"2017-06-30T10:04:58Z","timestamp":1498817098000},"page":"1533","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":11,"title":["Dimension-Reduced Analog\u2014Digital Mixed Measurement Method of Inductive Proximity Sensor"],"prefix":"10.3390","volume":"17","author":[{"ORCID":"https:\/\/orcid.org\/0000-0001-8887-595X","authenticated-orcid":false,"given":"Yi-Xin","family":"Guo","sequence":"first","affiliation":[{"name":"The School of Electronic and Information Engineering, Xi\u2019an Jiaotong University, No.28, Xianning West Road, Xi\u2019an 710049, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Zhi-Biao","family":"Shao","sequence":"additional","affiliation":[{"name":"The School of Electronic and Information Engineering, Xi\u2019an Jiaotong University, No.28, Xianning West Road, Xi\u2019an 710049, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Hui-Bin","family":"Tao","sequence":"additional","affiliation":[{"name":"The Institute of AI &amp; Robotics, Xi\u2019an Jiaotong University, No.28, Xianning West Road, Xi\u2019an 710049, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Kai-Liang","family":"Xu","sequence":"additional","affiliation":[{"name":"The School of Automation and Information Engineering, Xi\u2019an University of Technology, No.5 South Jinhua Road, Xi\u2019an 710048, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-8056-4169","authenticated-orcid":false,"given":"Ting","family":"Li","sequence":"additional","affiliation":[{"name":"The School of Electronic and Information Engineering, Xi\u2019an Jiaotong University, No.28, Xianning West Road, Xi\u2019an 710049, China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2017,6,30]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","unstructured":"Jagiella, M., Fericean, S., and Droxler, R. (2006, January 22\u201325). New Non-contacting Linear Displacement Inductive Sensors for Industrial Automation. Proceedings of the 5th IEEE Conference on Sensors, Daegu, Korea.","DOI":"10.1109\/ICSENS.2007.355523"},{"key":"ref_2","doi-asserted-by":"crossref","first-page":"1734","DOI":"10.1109\/JSEN.2006.884170","article-title":"Progress and recent realizations of miniaturized inductive proximity sensors for automation","volume":"6","author":"Jagiella","year":"2006","journal-title":"IEEE J. Sens."},{"key":"ref_3","doi-asserted-by":"crossref","unstructured":"Lugli, A.B., Rodrigues, R.B., and Santos, M.M.D. (2013, January 10\u201313). A New Method of Planar Inductive Sensor for Industrial Application. Proceedings of the 39th Annual Conference Of the IEEE Industrial Electronics Society, Vienna, Austria.","DOI":"10.1109\/IECON.2013.6699751"},{"key":"ref_4","doi-asserted-by":"crossref","first-page":"4663","DOI":"10.1109\/JSEN.2013.2271546","article-title":"Modeling of high-frequency electromagnetic effects on an ironless inductive position sensor","volume":"13","author":"Danisi","year":"2013","journal-title":"IEEE J. Sens."},{"key":"ref_5","doi-asserted-by":"crossref","first-page":"941","DOI":"10.1109\/JSEN.2012.2220962","article-title":"Characterization of Magnetic Immunity of an Ironless Inductive Position Sensor","volume":"13","author":"Masi","year":"2013","journal-title":"IEEE J. Sens."},{"key":"ref_6","doi-asserted-by":"crossref","first-page":"375","DOI":"10.1109\/TIA.2013.2271740","article-title":"Modeling and Compensation of Thermal Effects on an Ironless Inductive Position Sensor","volume":"50","author":"Danisi","year":"2014","journal-title":"IEEE Trans. Ind. Appl."},{"key":"ref_7","unstructured":"(2017, June 28). Proximity Sensors, by Honeywell Sensing & Control. Available online: http:\/\/sensing.honeywell.com\/products\/aero-prox4?N=0."},{"key":"ref_8","doi-asserted-by":"crossref","first-page":"745","DOI":"10.1016\/j.mejo.2012.07.009","article-title":"A low-cost configurability test strategy for an embedded analog circuit","volume":"43","author":"Laprovitta","year":"2012","journal-title":"Microelectron. J."},{"key":"ref_9","first-page":"144","article-title":"On-line testing and recovery of systems on SRAM-based FPGA","volume":"42","author":"Legat","year":"2012","journal-title":"J. Microelectron. Electron. Compon. Mater."},{"key":"ref_10","unstructured":"(2017, June 28). Proximity Sensing Systems Overview\u2014Crane Aerospace & Electronics. Available online: http:\/\/www.craneae.com\/Products\/Sensing\/ProximitySystemsOverview.aspx."},{"key":"ref_11","unstructured":"Volpe, R., and Ivlev, R. (1994, January 8\u201313). A survey and experimental evaluation of proximity sensors for space robotics. Proceedings of the IEEE International Conference on Robotics and Automation, San Diego, CA, USA."},{"key":"ref_12","doi-asserted-by":"crossref","unstructured":"Guo, Y.X., Shao, Z.B., and Li, T. (2016). An Analog-Digital Mixed Measurement Method of Inductive Proximity Sensor. Sensors, 16.","DOI":"10.3390\/s16010030"},{"key":"ref_13","unstructured":"(2017, June 28). Switches and Position Sensors\u2014Aerospace. Available online: http:\/\/www.crouzet-aerospace.com\/product-lines\/detection-and-sensing."},{"key":"ref_14","unstructured":"RTCA (2007). DO-160F Environmental Conditions and Test Procedures for Airborne Equipment, RTCA."},{"key":"ref_15","unstructured":"Huang, W.G., Wang, C.H., Liu, L.C., Huang, X.Z., and Wang, G.Q. (2011, January 25\u201328). A signal conditioner IC for inductive proximity sensors. Proceedings of the IEEE 9th International Conference on ASIC (ASICON), Xiamen, China."},{"key":"ref_16","doi-asserted-by":"crossref","unstructured":"Leons, P., Yaghoubian, A., Cowan, G., Trajkovic, J., Nazon, Y., and Abdi, S. (2015, January 2\u20134). On improving the range of inductive proximity sensors for avionic applications. Proceedings of the 16th International Symposium on Quality Electronic Design (ISQED), Santa Clara, CA, USA.","DOI":"10.1109\/ISQED.2015.7085485"},{"key":"ref_17","first-page":"129","article-title":"Total dose responses and reliability issues of 65 nm NMOSFETs","volume":"37","author":"Yu","year":"2016","journal-title":"J. Semicond."},{"key":"ref_18","doi-asserted-by":"crossref","first-page":"64","DOI":"10.1088\/1674-4926\/35\/5\/054010","article-title":"Long-term storage life of light source modules by temperature cycling accelerated life test","volume":"35","author":"Sun","year":"2014","journal-title":"J. Semicond."},{"key":"ref_19","doi-asserted-by":"crossref","first-page":"102","DOI":"10.1088\/1674-4926\/35\/7\/074014","article-title":"Analysis of reliability factors of MEMS disk resonator under the strong inertial impact","volume":"35","author":"Dong","year":"2014","journal-title":"J. Semicond."},{"key":"ref_20","doi-asserted-by":"crossref","first-page":"3417","DOI":"10.1109\/JSEN.2012.2190057","article-title":"Resonant Coupling of a Passive Inductance-Capacitance-Resistor Loop in Coil-Based Sensing Systems","volume":"12","author":"Liu","year":"2012","journal-title":"IEEE J. Sens."},{"key":"ref_21","doi-asserted-by":"crossref","first-page":"1538","DOI":"10.1109\/JSEN.2007.908232","article-title":"New noncontacting inductive analog proximity and inductive linear displacement sensors for industrial automation","volume":"7","author":"Fericean","year":"2007","journal-title":"IEEE J. Sens."},{"key":"ref_22","doi-asserted-by":"crossref","unstructured":"Kr\u00fcger, H., Ewald, H., and Frost, A. (2009, January 25\u201328). Multivariate data analysis for accuracy enhancement at the example of an inductive proximity sensor. Proceedings of the IEEE International Conference on Sensors, Christchurch, New Zealand.","DOI":"10.1109\/ICSENS.2009.5398539"},{"key":"ref_23","doi-asserted-by":"crossref","first-page":"28592","DOI":"10.3390\/s151128592","article-title":"Performance Analysis of the Ironless Inductive Position Sensor in the Large Hadron Collider Collimators Environment","volume":"15","author":"Danisi","year":"2015","journal-title":"Sensors"},{"key":"ref_24","doi-asserted-by":"crossref","first-page":"3221","DOI":"10.1109\/TIM.2009.2017165","article-title":"Eddy-Current Displacement Transducer With Extended Linear Range and Automatic Tuning","volume":"58","author":"Vyroubal","year":"2009","journal-title":"IEEE Trans. Instrum. Meas."},{"key":"ref_25","doi-asserted-by":"crossref","first-page":"2960","DOI":"10.1109\/TIM.2011.2118910","article-title":"High-Sensitivity Inductive Pressure Sensor","volume":"60","author":"Bakhoum","year":"2011","journal-title":"IEEE Trans. Instrum. Meas."},{"key":"ref_26","doi-asserted-by":"crossref","first-page":"4445","DOI":"10.1109\/TMAG.2011.2158525","article-title":"Improvement in Efficiency of Wireless Power Transfer of Magnetic Resonant Coupling Using Magnetoplated Wire","volume":"47","author":"Mizuno","year":"2011","journal-title":"IEEE Trans. Magn."},{"key":"ref_27","doi-asserted-by":"crossref","unstructured":"Jagiella, M., Fericean, S., Dorneich, A., and Eggimann, M. (2005, January 30). Theoretical progress and recent realizations of miniaturized inductive sensors for automation. Proceedings of the IEEE International Conference on Sensors, Irvine, CA, USA.","DOI":"10.1109\/JSEN.2006.884170"},{"key":"ref_28","doi-asserted-by":"crossref","unstructured":"Nabavi, M.R., and Nihtianov, S. (2009, January 13\u201316). Stability considerations in a new interface circuit for inductive position sensors. Proceedings of the IEEE International Conference on Electronics, Circuits, and Systems, Hammamet, Tunisia.","DOI":"10.1109\/ICECS.2009.5410822"},{"key":"ref_29","doi-asserted-by":"crossref","first-page":"12640","DOI":"10.3390\/s140712640","article-title":"Inductive Displacement Sensors with a Notch Filter for an Active Magnetic Bearing System","volume":"14","author":"Chen","year":"2014","journal-title":"Sensors"},{"key":"ref_30","doi-asserted-by":"crossref","first-page":"870","DOI":"10.1109\/JSEN.2009.2024058","article-title":"Development of a Microwave Proximity Sensor for Industrial Applications","volume":"9","author":"Fericean","year":"2009","journal-title":"IEEE J. Sens."},{"key":"ref_31","doi-asserted-by":"crossref","unstructured":"Kumar, P., George, B., and Kumar, V.J. (2013, January 3\u20135). A Simple Signal Conditioning Scheme for Inductive Sensors. Proceedings of the Seventh International Conference on Sensing Technology (ICST), Wellington, New Zealand.","DOI":"10.1109\/ICSensT.2013.6727705"},{"key":"ref_32","doi-asserted-by":"crossref","first-page":"543","DOI":"10.1109\/TMAG.2006.887853","article-title":"Extending the linearity range of eddy-current displacement sensor with magnetoplated wire","volume":"43","author":"Tsutomu","year":"2007","journal-title":"IEEE Trans. Magn."},{"key":"ref_33","doi-asserted-by":"crossref","first-page":"3251","DOI":"10.1109\/TMAG.2009.2021948","article-title":"Theoretical Analysis of AC Resistance in Coil Using Magnetoplated Wire","volume":"45","author":"Shinagawa","year":"2009","journal-title":"IEEE Trans. Magn."},{"key":"ref_34","doi-asserted-by":"crossref","first-page":"4463","DOI":"10.1109\/TMAG.2009.2021855","article-title":"Extending the Operating Distance of Inductive Proximity Sensor Using Magnetoplated Wire","volume":"45","author":"Mizuno","year":"2009","journal-title":"IEEE Trans. Magn."},{"key":"ref_35","doi-asserted-by":"crossref","first-page":"125006","DOI":"10.1088\/1674-4926\/34\/12\/125006","article-title":"A readout system for passive pressure sensors","volume":"34","author":"Zhang","year":"2013","journal-title":"J. Semicond."},{"key":"ref_36","doi-asserted-by":"crossref","first-page":"1728","DOI":"10.1016\/j.mejo.2008.02.022","article-title":"Comparison among emission and susceptibility reduction techniques for electromagnetic interference in digital integrated circuits","volume":"39","author":"Alaeldine","year":"2008","journal-title":"Microelectron. J."},{"key":"ref_37","doi-asserted-by":"crossref","unstructured":"Matko, V., and Milanovi\u0107, M. (2016). High-Precision Hysteresis Sensing of the Quartz Crystal Inductance-to-Frequency Converter. Sensors, 16.","DOI":"10.3390\/s16070995"},{"key":"ref_38","doi-asserted-by":"crossref","unstructured":"Podhra\u0161ki, M., and Trontelj, J. (2016). A Differential Monolithically Integrated Inductive Linear Displacement Measurement Microsystem. Sensors, 16.","DOI":"10.3390\/s16030384"},{"key":"ref_39","doi-asserted-by":"crossref","first-page":"1387","DOI":"10.1016\/j.mejo.2008.04.015","article-title":"A novel system for displacement sensing, integrated on a plastic substrate","volume":"40","author":"Petropoulos","year":"2009","journal-title":"Microelectron. J."},{"key":"ref_40","first-page":"1589","article-title":"Development of a displacement sensor with a sidewall piezoresistor and its typical application","volume":"29","author":"Sun","year":"2008","journal-title":"J. Semicond."},{"key":"ref_41","doi-asserted-by":"crossref","first-page":"93","DOI":"10.1016\/j.mejo.2016.04.019","article-title":"A real-time digital calibration scheme for the cyclic ADC","volume":"54","author":"Zong","year":"2016","journal-title":"Microelectron. J."},{"key":"ref_42","doi-asserted-by":"crossref","unstructured":"Gajda, J., and Stencel, M. (2016). Eddy-Current Sensors with Asymmetrical Point Spread Function. Sensors, 16.","DOI":"10.3390\/s16101642"}],"container-title":["Sensors"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.mdpi.com\/1424-8220\/17\/7\/1533\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,10,11]],"date-time":"2025-10-11T18:40:57Z","timestamp":1760208057000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.mdpi.com\/1424-8220\/17\/7\/1533"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2017,6,30]]},"references-count":42,"journal-issue":{"issue":"7","published-online":{"date-parts":[[2017,7]]}},"alternative-id":["s17071533"],"URL":"https:\/\/doi.org\/10.3390\/s17071533","relation":{},"ISSN":["1424-8220"],"issn-type":[{"type":"electronic","value":"1424-8220"}],"subject":[],"published":{"date-parts":[[2017,6,30]]}}}