{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,6,21]],"date-time":"2026-06-21T11:23:16Z","timestamp":1782040996258,"version":"3.54.5"},"reference-count":18,"publisher":"MDPI AG","issue":"5","license":[{"start":{"date-parts":[[2023,3,6]],"date-time":"2023-03-06T00:00:00Z","timestamp":1678060800000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"name":"European Regional Development Fund"},{"name":"Swedish innovation agency Vinnova"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Sensors"],"abstract":"<jats:p>Measurements of atmospheric gas concentrations using of NDIR gas sensors requires compensation of ambient pressure variations to achieve reliable result. The extensively used general correction method is based on collecting data for varying pressures for a single reference concentration. This one-dimensional compensation approach is valid for measurements carried out in gas concentrations close to reference concentration but will introduce significant errors for concentrations further away from the calibration point. For applications, requiring high accuracy, collecting, and storing calibration data at several reference concentrations can reduce the error. However, this method will cause higher demands on memory capacity and computational power, which is problematic for cost sensitive applications. We present here an advanced, but practical, algorithm for compensation of environmental pressure variations for relatively low-cost\/high resolution NDIR systems. The algorithm consists of a two-dimensional compensation procedure, which widens the valid pressure and concentrations range but with a minimal need to store calibration data, compared to the general one-dimensional compensation method based on a single reference concentration. The implementation of the presented two-dimensional algorithm was verified at two independent concentrations. The results show a reduction in the compensation error from 5.1% and 7.3%, for the one-dimensional method, to \u22120.02% and 0.83% for the two-dimensional algorithm. In addition, the presented two-dimensional algorithm only requires calibration in four reference gases and the storing of four sets of polynomial coefficients used for calculations.<\/jats:p>","DOI":"10.3390\/s23052872","type":"journal-article","created":{"date-parts":[[2023,3,7]],"date-time":"2023-03-07T01:43:35Z","timestamp":1678153415000},"page":"2872","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":13,"title":["Advanced Pressure Compensation in High Accuracy NDIR Sensors for Environmental Studies"],"prefix":"10.3390","volume":"23","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-8409-4803","authenticated-orcid":false,"given":"Bakhram","family":"Gaynullin","sequence":"first","affiliation":[{"name":"Senseair AB, 824 71 Delsbo, Sweden"},{"name":"Department of Engineering, Mathematics and Science Education, Mid Sweden University, 851 70 Sundsvall, Sweden"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Christine","family":"Hummelg\u00e5rd","sequence":"additional","affiliation":[{"name":"Senseair AB, 824 71 Delsbo, Sweden"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-3769-8492","authenticated-orcid":false,"given":"Claes","family":"Mattsson","sequence":"additional","affiliation":[{"name":"Department of Engineering, Mathematics and Science Education, Mid Sweden University, 851 70 Sundsvall, Sweden"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"G\u00f6ran","family":"Thungstr\u00f6m","sequence":"additional","affiliation":[{"name":"Department of Engineering, Mathematics and Science Education, Mid Sweden University, 851 70 Sundsvall, Sweden"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Henrik","family":"R\u00f6djeg\u00e5rd","sequence":"additional","affiliation":[{"name":"Senseair AB, 824 71 Delsbo, Sweden"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"1968","published-online":{"date-parts":[[2023,3,6]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"342","DOI":"10.1016\/j.uclim.2014.09.001","article-title":"Low-Cost NDIR Based Sensor Platform for Sub-Ppm Gas Detection","volume":"14","author":"Bryntse","year":"2015","journal-title":"Urban Clim."},{"key":"ref_2","doi-asserted-by":"crossref","first-page":"78","DOI":"10.1002\/andp.18521620505","article-title":"Bestimmung der Absorption des rothen Lichts in farbigen Fl\u00fcssigkeiten","volume":"162","author":"Beer","year":"1852","journal-title":"Ann. 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