{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,7,3]],"date-time":"2026-07-03T06:04:49Z","timestamp":1783058689674,"version":"3.54.6"},"reference-count":25,"publisher":"MDPI AG","issue":"22","license":[{"start":{"date-parts":[[2023,11,9]],"date-time":"2023-11-09T00:00:00Z","timestamp":1699488000000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"name":"National Natural Science Foundation of China","award":["32071457"],"award-info":[{"award-number":["32071457"]}]},{"name":"National Natural Science Foundation of China","award":["2022CFA006"],"award-info":[{"award-number":["2022CFA006"]}]},{"name":"National Natural Science Foundation of China","award":["2022012202015034"],"award-info":[{"award-number":["2022012202015034"]}]},{"name":"Hubei Natural Science Foundation","award":["32071457"],"award-info":[{"award-number":["32071457"]}]},{"name":"Hubei Natural Science Foundation","award":["2022CFA006"],"award-info":[{"award-number":["2022CFA006"]}]},{"name":"Hubei Natural Science Foundation","award":["2022012202015034"],"award-info":[{"award-number":["2022012202015034"]}]},{"name":"Wuhan Keyresearch and development plan","award":["32071457"],"award-info":[{"award-number":["32071457"]}]},{"name":"Wuhan Keyresearch and development plan","award":["2022CFA006"],"award-info":[{"award-number":["2022CFA006"]}]},{"name":"Wuhan Keyresearch and development plan","award":["2022012202015034"],"award-info":[{"award-number":["2022012202015034"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Sensors"],"abstract":"<jats:p>The existing ultrasonic thickness measurement systems require high sampling frequencies for echo signal acquisition, leading to complex circuit designs and high costs. Moreover, extracting the characteristics of ultrasonic echo signals for accurate thickness measurement poses significant challenges. To address these issues, this paper proposes a method that utilizes conventional sampling frequencies to acquire high-frequency ultrasonic echo signals, overcoming the limitations of high-frequency data acquisition imposed by the Nyquist\u2013Shannon sampling theorem. By employing an improved sampling reconstruction technique, the multi-cycle sampling signals are reconstructed and rearranged within a single cycle, effectively increasing the equivalent sampling frequency. Additionally, a combination of coarse estimation using fast Fourier transform (FFT) and precise phase extraction using the moving sine fitting algorithm is proposed for accurate thickness measurement, resolving the limitations of common thickness measurement methods such as peak detection, envelope detection, and Hilbert autocorrelation in terms of low measurement accuracy. Experimental results obtained from thickness measurements on 45 steel ultrasonic test blocks within the range of 3 mm to 20 mm indicate a measurement error of \u00b10.01 mm, while for thicknesses ranging from 1 mm to 50 mm, the measurement error is \u00b10.05 mm.<\/jats:p>","DOI":"10.3390\/s23229072","type":"journal-article","created":{"date-parts":[[2023,11,9]],"date-time":"2023-11-09T10:19:27Z","timestamp":1699525167000},"page":"9072","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":11,"title":["Ultrasonic Thickness Measurement Method and System Implementation Based on Sampling Reconstruction and Phase Feature Extraction"],"prefix":"10.3390","volume":"23","author":[{"given":"Wenqiang","family":"Gong","sequence":"first","affiliation":[{"name":"Hubei Key Laboratory of Modern Manufacturing Quantity Engineering, College of Mechanical Engineering, Hubei University of Technology, Wuhan 430068, China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Xuanze","family":"Wang","sequence":"additional","affiliation":[{"name":"Hubei Key Laboratory of Modern Manufacturing Quantity Engineering, College of Mechanical Engineering, Hubei University of Technology, Wuhan 430068, China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Zhenyu","family":"Yang","sequence":"additional","affiliation":[{"name":"Hubei Key Laboratory of Modern Manufacturing Quantity Engineering, College of Mechanical Engineering, Hubei University of Technology, Wuhan 430068, China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Zhongsheng","family":"Zhai","sequence":"additional","affiliation":[{"name":"Hubei Key Laboratory of Modern Manufacturing Quantity Engineering, College of Mechanical Engineering, Hubei University of Technology, Wuhan 430068, China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-7472-7921","authenticated-orcid":false,"given":"Wei","family":"Feng","sequence":"additional","affiliation":[{"name":"Hubei Key Laboratory of Modern Manufacturing Quantity Engineering, College of Mechanical Engineering, Hubei University of Technology, Wuhan 430068, China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Da","family":"Liu","sequence":"additional","affiliation":[{"name":"Hubei Key Laboratory of Modern Manufacturing Quantity Engineering, College of Mechanical Engineering, Hubei University of Technology, Wuhan 430068, China"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"1968","published-online":{"date-parts":[[2023,11,9]]},"reference":[{"key":"ref_1","unstructured":"Liu, Y., Yang, S., and Gan, C. 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