{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,28]],"date-time":"2025-10-28T10:41:37Z","timestamp":1761648097371,"version":"build-2065373602"},"reference-count":29,"publisher":"MDPI AG","issue":"9","license":[{"start":{"date-parts":[[2013,9,5]],"date-time":"2013-09-05T00:00:00Z","timestamp":1378339200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/3.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Sensors"],"abstract":"<jats:p>Distance has been one of the basic factors in manufacturing and control fields, and ultrasonic distance sensors have been widely used as a low-cost measuring tool. However, the propagation of ultrasonic waves is greatly affected by environmental factors such as temperature, humidity and atmospheric pressure. In order to solve the problem of inaccurate measurement, which is significant within industry, this paper presents a novel ultrasonic distance sensor model using networked error correction (NEC) trained on experimental data. This is more accurate than other existing approaches because it uses information from indirect association with neighboring sensors, which has not been considered before. The NEC technique, focusing on optimization of the relationship of the topological structure of sensor arrays, is implemented for the compensation of erroneous measurements caused by the environment. We apply the maximum likelihood method to determine the optimal fusion data set and use a neighbor discovery algorithm to identify neighbor nodes at the top speed. Furthermore, we adopt the NEC optimization algorithm, which takes full advantage of the correlation coefficients for neighbor sensors. The experimental results demonstrate that the ranging errors of the NEC system are within 2.20%; furthermore, the mean absolute percentage error is reduced to 0.01% after three iterations of this method, which means that the proposed method performs extremely well. The optimized method of distance measurement we propose, with the capability of NEC, would bring a significant advantage for intelligent industrial automation.<\/jats:p>","DOI":"10.3390\/s130911818","type":"journal-article","created":{"date-parts":[[2013,9,5]],"date-time":"2013-09-05T10:54:54Z","timestamp":1378378494000},"page":"11818-11841","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":5,"title":["Low-Cost Ultrasonic Distance Sensor Arrays with Networked Error Correction"],"prefix":"10.3390","volume":"13","author":[{"given":"Hongjun","family":"Dai","sequence":"first","affiliation":[{"name":"Department of Computer Science and Technology, Shandong University, No. 1500, Shunhua Road,Jinan 276023, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Shulin","family":"Zhao","sequence":"additional","affiliation":[{"name":"Department of Computer Science and Technology, Shandong University, No. 1500, Shunhua Road,Jinan 276023, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Zhiping","family":"Jia","sequence":"additional","affiliation":[{"name":"Department of Computer Science and Technology, Shandong University, No. 1500, Shunhua Road,Jinan 276023, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Tianzhou","family":"Chen","sequence":"additional","affiliation":[{"name":"Department of Computer Science and Technology, Zhejiang University, No. 38, Zheda Road, Hangzhou 310027, China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2013,9,5]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"2459","DOI":"10.3390\/s110302459","article-title":"Performance of an ultrasonic ranging sensor in apple tree canopies","volume":"11","author":"Escol","year":"2011","journal-title":"Sensors"},{"key":"ref_2","doi-asserted-by":"crossref","first-page":"17343","DOI":"10.3390\/s121217343","article-title":"An ultrasonic system for weed detection in cereal crops","volume":"12","author":"Andjar","year":"2012","journal-title":"Sensors"},{"key":"ref_3","doi-asserted-by":"crossref","first-page":"767","DOI":"10.1109\/JSEN.2009.2021787","article-title":"Distance estimation with a long-range ultrasonic sensor system","volume":"9","author":"Majchrzak","year":"2009","journal-title":"IEEE Sens. 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