{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,8]],"date-time":"2026-04-08T23:43:23Z","timestamp":1775691803434,"version":"3.50.1"},"reference-count":32,"publisher":"MDPI AG","issue":"16","license":[{"start":{"date-parts":[[2021,8,18]],"date-time":"2021-08-18T00:00:00Z","timestamp":1629244800000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"name":"Federal State of Upper Austria","award":["-"],"award-info":[{"award-number":["-"]}]},{"DOI":"10.13039\/501100008530","name":"European Regional Development Fund","doi-asserted-by":"publisher","award":["-"],"award-info":[{"award-number":["-"]}],"id":[{"id":"10.13039\/501100008530","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100004955","name":"\u00d6sterreichische Forschungsf\u00f6rderungsgesellschaft","doi-asserted-by":"publisher","award":["871974"],"award-info":[{"award-number":["871974"]}],"id":[{"id":"10.13039\/501100004955","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Sensors"],"abstract":"<jats:p>In this contribution, we present a high-speed, multiplex, grating spectrometer based on a spectral coding approach that is founded on principles of compressive sensing. The spectrometer employs a single-pixel InGaAs detector to measure the signals encoded by an amplitude spatial light modulator (digital micromirror device, DMD). This approach leads to a speed advantage and multiplex sensitivity advantage atypical for standard dispersive systems. Exploiting the 18.2 kHz pattern rate of the DMD, we demonstrated 4.2 ms acquisition times for full spectra with a bandwidth of 450 nm (5250\u20134300 cm\u22121; 1.9\u20132.33 \u00b5m). Due to the programmability of the DMD, spectral regions of interest can be chosen freely, thus reducing acquisition times further, down to the sub-millisecond regime. The adjustable resolving power of the system accessed by means of computer simulations is discussed, quantified for different measurement modes, and verified by comparison with a state-of-the-art Fourier-transform infrared spectrometer. We show measurements of characteristic polymer absorption bands in different operation regimes of the spectrometer. The theoretical multiplex advantage of 8 was experimentally verified by comparison of the noise behavior of the spectral coding approach and a standard line-scan approach.<\/jats:p>","DOI":"10.3390\/s21165563","type":"journal-article","created":{"date-parts":[[2021,8,18]],"date-time":"2021-08-18T22:51:00Z","timestamp":1629327060000},"page":"5563","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":13,"title":["Spectral-Coding-Based Compressive Single-Pixel NIR Spectroscopy in the Sub-Millisecond Regime"],"prefix":"10.3390","volume":"21","author":[{"given":"Paul","family":"Gattinger","sequence":"first","affiliation":[{"name":"RECENDT\u2014Research Center for Non-Destructive Testing GmbH, Science Park 2, Altenberger Str. 69, 4040 Linz, Austria"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-2089-5716","authenticated-orcid":false,"given":"Ivan","family":"Zorin","sequence":"additional","affiliation":[{"name":"RECENDT\u2014Research Center for Non-Destructive Testing GmbH, Science Park 2, Altenberger Str. 69, 4040 Linz, Austria"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-7354-7651","authenticated-orcid":false,"given":"Christian","family":"Rankl","sequence":"additional","affiliation":[{"name":"RECENDT\u2014Research Center for Non-Destructive Testing GmbH, Science Park 2, Altenberger Str. 69, 4040 Linz, Austria"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-8679-8097","authenticated-orcid":false,"given":"Markus","family":"Brandstetter","sequence":"additional","affiliation":[{"name":"RECENDT\u2014Research Center for Non-Destructive Testing GmbH, Science Park 2, Altenberger Str. 69, 4040 Linz, Austria"}]}],"member":"1968","published-online":{"date-parts":[[2021,8,18]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"5903","DOI":"10.1039\/C7CS00403F","article-title":"Quantum cascade lasers (QCLs) in biomedical spectroscopy","volume":"46","author":"Schwaighofer","year":"2017","journal-title":"Chem. Soc. Rev."},{"key":"ref_2","doi-asserted-by":"crossref","first-page":"3426","DOI":"10.1364\/OL.44.003426","article-title":"Sub-second quantum cascade laser based infrared spectroscopic ellipsometry","volume":"44","author":"Ebner","year":"2019","journal-title":"Opt. Lett."},{"key":"ref_3","doi-asserted-by":"crossref","first-page":"485","DOI":"10.1177\/0003702819893364","article-title":"Sensitivity-Enhanced Fourier Transform Mid-Infrared Spectroscopy Using a Supercontinuum Laser Source","volume":"74","author":"Zorin","year":"2020","journal-title":"Appl. Spectrosc."},{"key":"ref_4","doi-asserted-by":"crossref","first-page":"30644","DOI":"10.1364\/OE.26.030644","article-title":"Diffraction limited mid-infrared reflectance microspectroscopy with a supercontinuum laser","volume":"26","author":"Kilgus","year":"2018","journal-title":"Opt. Express"},{"key":"ref_5","doi-asserted-by":"crossref","unstructured":"Chalmers, J.M., and Griffiths, P.R. (2001). Handbook of Vibrational Spectroscopy, John Wiley & Sons, Ltd.","DOI":"10.1002\/0470027320"},{"key":"ref_6","doi-asserted-by":"crossref","first-page":"42","DOI":"10.1119\/1.1934975","article-title":"Historical Survey of the Early Development of the Infrared Spectral Region","volume":"28","author":"Barr","year":"1960","journal-title":"Am. J. Phys."},{"key":"ref_7","doi-asserted-by":"crossref","first-page":"505","DOI":"10.1364\/AO.8.000505","article-title":"Diffraction Grating Spectroscopy","volume":"8","year":"1969","journal-title":"Appl. Opt."},{"key":"ref_8","doi-asserted-by":"crossref","first-page":"12169","DOI":"10.1364\/OE.26.012169","article-title":"Enhanced mid-infrared multi-bounce ATR spectroscopy for online detection of hydrogen peroxide using a supercontinuum laser","volume":"26","author":"Gasser","year":"2018","journal-title":"Opt. Express"},{"key":"ref_9","doi-asserted-by":"crossref","unstructured":"Griffiths, P.R., and de Haseth, J.A. (2007). Fourier Transform Infrared Spectrometry, John Wiley & Sons, Inc.. [2nd ed.].","DOI":"10.1002\/047010631X"},{"key":"ref_10","doi-asserted-by":"crossref","unstructured":"Gaffney, J.S., Marley, N.A., and Jones, D.E. (2012). Fourier Transform Infrared (FTIR) Spectroscopy. Characterization of Materials, John Wiley & Sons, Inc.","DOI":"10.1002\/0471266965.com107.pub2"},{"key":"ref_11","doi-asserted-by":"crossref","unstructured":"Saptari, V. (2003). Fourier-Transform Spectroscopy Instrumentation Engineering, SPIE.","DOI":"10.1117\/3.523499"},{"key":"ref_12","doi-asserted-by":"crossref","unstructured":"Ozaki, Y., Huck, C., Tsuchikawa, S., and Engelsen, S.B. (2021). Near-Infrared Spectroscopy, Springer Nature Singapore Pte Ltd.","DOI":"10.1007\/978-981-15-8648-4"},{"key":"ref_13","doi-asserted-by":"crossref","first-page":"2237","DOI":"10.1177\/0003702817720468","article-title":"How to Design a Spectrometer","volume":"71","author":"Scheeline","year":"2017","journal-title":"Appl. Spectrosc."},{"key":"ref_14","doi-asserted-by":"crossref","first-page":"489","DOI":"10.1109\/TIT.2005.862083","article-title":"Robust uncertainty principles: Exact signal reconstruction from highly incomplete frequency information","volume":"52","author":"Candes","year":"2006","journal-title":"IEEE Trans. Inf. Theory"},{"key":"ref_15","doi-asserted-by":"crossref","first-page":"1289","DOI":"10.1109\/TIT.2006.871582","article-title":"Compressed sensing","volume":"52","author":"Donoho","year":"2006","journal-title":"IEEE Trans. Inf. Theory"},{"key":"ref_16","doi-asserted-by":"crossref","unstructured":"Takhar, D., Laska, J.N., Wakin, M.B., Duarte, M.F., Baron, D., Sarvotham, S., Kelly, K.F., and Baraniuk, R.G. (2006). A new compressive imaging camera architecture using optical-domain compression. Computational Imaging IV, SPIE.","DOI":"10.1117\/12.659602"},{"key":"ref_17","doi-asserted-by":"crossref","unstructured":"Sun, T., and Kelly, K. (2009). Compressive sensing hyperspectral imager. Frontiers in Optics 2009\/Laser Science XXV\/Fall 2009 OSA Optics & Photonics Technical Digest, OSA Technical Digest (CD), Optical Society of America.","DOI":"10.1364\/COSI.2009.CTuA5"},{"key":"ref_18","doi-asserted-by":"crossref","first-page":"030801","DOI":"10.1063\/1.5140721","article-title":"Deep learning for video compressive sensing","volume":"5","author":"Qiao","year":"2020","journal-title":"APL Photonics"},{"key":"ref_19","doi-asserted-by":"crossref","first-page":"4875","DOI":"10.1109\/ACCESS.2018.2793851","article-title":"A Systematic Review of Compressive Sensing: Concepts, Implementations and Applications","volume":"6","author":"Rani","year":"2018","journal-title":"IEEE Access"},{"key":"ref_20","doi-asserted-by":"crossref","first-page":"443","DOI":"10.1109\/JCN.2013.000083","article-title":"Compressive sensing: From theory to applications, a survey","volume":"15","author":"Qaisar","year":"2013","journal-title":"J. Commun. Netw."},{"key":"ref_21","doi-asserted-by":"crossref","first-page":"12666","DOI":"10.1364\/OE.27.012666","article-title":"Broadband near-infrared hyperspectral single pixel imaging for chemical characterization","volume":"27","author":"Gattinger","year":"2019","journal-title":"Opt. Express"},{"key":"ref_22","doi-asserted-by":"crossref","first-page":"25","DOI":"10.1364\/OL.42.000025","article-title":"Compressive sensing resonator spectroscopy","volume":"42","author":"Oiknine","year":"2017","journal-title":"Opt. Lett."},{"key":"ref_23","doi-asserted-by":"crossref","first-page":"1751","DOI":"10.1366\/0003702001949078","article-title":"Realization of the Hadamard multiplex advantage using a programmable optical mask in a dispersive flat-field near-infrared spectrometer","volume":"54","author":"DeVerse","year":"2000","journal-title":"Appl. Spectrosc."},{"key":"ref_24","doi-asserted-by":"crossref","first-page":"5198","DOI":"10.1364\/AO.55.005198","article-title":"Compressive sensing spectroscopy with a single pixel camera","volume":"55","author":"Starling","year":"2016","journal-title":"Appl. Opt."},{"key":"ref_25","doi-asserted-by":"crossref","first-page":"1696","DOI":"10.1364\/OL.42.001696","article-title":"Programmable single-pixel-based broadband stimulated Raman scattering","volume":"42","author":"Berto","year":"2017","journal-title":"Opt. Lett."},{"key":"ref_26","doi-asserted-by":"crossref","first-page":"287","DOI":"10.1109\/LPT.2020.2970742","article-title":"Single-Pixel MEMS Spectrometer Based on Compressive Sensing","volume":"32","author":"Zhou","year":"2020","journal-title":"IEEE Photonics Technol. Lett."},{"key":"ref_27","doi-asserted-by":"crossref","first-page":"1514","DOI":"10.1002\/chem.202002838","article-title":"Principles and Applications of Miniaturized Near-Infrared (NIR) Spectrometers","volume":"27","author":"Grabska","year":"2021","journal-title":"Chem. A Eur. J."},{"key":"ref_28","unstructured":"Hornbeck, L.J. (1996, January 5\u20139). Digital light processing and MEMS: An overview. Proceedings of the Digest IEEE\/Leos 1996 Summer Topical Meeting. Advanced Applications of Lasers in Materials and Processing, Keystone, CO, USA."},{"key":"ref_29","doi-asserted-by":"crossref","unstructured":"Pruett, E. (2015). Techniques and applications of programmable spectral pattern coding in Texas Instruments DLP spectroscopy. Emerging Digital Micromirror Device Based Systems and Applications VII, SPIE.","DOI":"10.1117\/12.2083863"},{"key":"ref_30","doi-asserted-by":"crossref","unstructured":"Foucart, S., and Rauhut, H. (2013). An invitation to compressive sensing. Applied and Numerical Harmonic Analysis, Springer International.","DOI":"10.1007\/978-0-8176-4948-7_1"},{"key":"ref_31","doi-asserted-by":"crossref","first-page":"2103","DOI":"10.1364\/AO.8.002103","article-title":"Codes for Multiplex Spectrometry","volume":"8","author":"Sloane","year":"1969","journal-title":"Appl. Opt."},{"key":"ref_32","doi-asserted-by":"crossref","first-page":"510","DOI":"10.1364\/AO.10.000510","article-title":"Experimental Realization of the Multiplex Advantage with a Hadamard-Transform Spectrometer","volume":"10","author":"Decker","year":"1971","journal-title":"Appl. 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