{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,12]],"date-time":"2025-10-12T00:08:08Z","timestamp":1760227688173,"version":"build-2065373602"},"reference-count":17,"publisher":"MDPI AG","issue":"9","license":[{"start":{"date-parts":[[2022,4,28]],"date-time":"2022-04-28T00:00:00Z","timestamp":1651104000000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"DOI":"10.13039\/501100000266","name":"the Engineering and Physical Sciences Research Council (EPSRC)","doi-asserted-by":"publisher","award":["EP\/S021442\/1","EP\/V047914\/1"],"award-info":[{"award-number":["EP\/S021442\/1","EP\/V047914\/1"]}],"id":[{"id":"10.13039\/501100000266","id-type":"DOI","asserted-by":"publisher"}]},{"name":"the Royal Society Wolfson Merit Award (EPM)","award":["EP\/S021442\/1","EP\/V047914\/1"],"award-info":[{"award-number":["EP\/S021442\/1","EP\/V047914\/1"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Sensors"],"abstract":"<jats:p>Recently, finite rate of innovation methods have been successfully applied to achieve low sampling rates in many areas, such as for ultrasound and radio signals. However, to the best of our knowledge, there are no journal publications applying this to real terahertz signals. In this work, we mathematically describe a finite rate of innovation method applied specifically to terahertz signals both experimentally and in simulation. To demonstrate our method, we applied it to randomized simulated signals with and without the presence of noise and to simple experimental measurements. We found excellent agreement between the simulated signals and those recreated based on results from our method, with this success also being replicated experimentally. These results were obtained at relatively low sampling rates, compared to standard methods, which is a key advantage to using a finite rate of innovation method as it allows for faster data acquisition and signal processing.<\/jats:p>","DOI":"10.3390\/s22093387","type":"journal-article","created":{"date-parts":[[2022,4,28]],"date-time":"2022-04-28T22:20:06Z","timestamp":1651184406000},"page":"3387","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":1,"title":["Simulated and Experimental Verification for a Terahertz Specific Finite Rate of Innovation Signal Processing Method"],"prefix":"10.3390","volume":"22","author":[{"given":"Xavier E.","family":"Ramirez Barker","sequence":"first","affiliation":[{"name":"Department of Physics, University of Warwick, Coventry CV4 7AL, UK"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Rayko I.","family":"Stanchev","sequence":"additional","affiliation":[{"name":"Department of Physics, University of Warwick, Coventry CV4 7AL, UK"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Arturo I.","family":"Hernandez Serrano","sequence":"additional","affiliation":[{"name":"Department of Physics, University of Warwick, Coventry CV4 7AL, UK"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-6062-5959","authenticated-orcid":false,"given":"Emma","family":"Pickwell-MacPherson","sequence":"additional","affiliation":[{"name":"Department of Physics, University of Warwick, Coventry CV4 7AL, UK"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2022,4,28]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"1417","DOI":"10.1109\/TSP.2002.1003065","article-title":"Sampling Signals With Finite Rate of Innovation","volume":"50","author":"Vetterli","year":"2002","journal-title":"IEEE Trans. Signal Process."},{"key":"ref_2","doi-asserted-by":"crossref","first-page":"1827","DOI":"10.1109\/TSP.2011.2105480","article-title":"Innovation Rate Sampling of Pulse Streams With Application to Ultrasound Imaging","volume":"59","author":"Tur","year":"2011","journal-title":"IEEE Trans. Signal Process."},{"key":"ref_3","doi-asserted-by":"crossref","first-page":"10102","DOI":"10.1109\/TVT.2017.2750707","article-title":"Timing acquisition and error analysis for pulse-based terahertz band wireless systems","volume":"66","author":"Han","year":"2017","journal-title":"IEEE Trans. Veh. Technol."},{"key":"ref_4","doi-asserted-by":"crossref","first-page":"821","DOI":"10.1109\/TSP.2016.2625274","article-title":"Towards Generalized FRI Sampling with an Application to Source Resolution in Radioastronomy","volume":"65","author":"Pan","year":"2017","journal-title":"IEEE Trans. Signal Process."},{"key":"ref_5","doi-asserted-by":"crossref","first-page":"5020","DOI":"10.1109\/TSP.2014.2340811","article-title":"Super-Resolution Reconstruction in Frequency-Domain Optical-Coherence Tomography Using the Finite-Rate-of-Innovation Principle","volume":"62","author":"Seelamantula","year":"2014","journal-title":"IEEE Trans. Signal Process."},{"key":"ref_6","doi-asserted-by":"crossref","unstructured":"Ghann, W., and Uddin, J. (2017). Terahertz (THz) Spectroscopy: A Cutting-Edge Technology, BoD\u2013Books on Demand.","DOI":"10.5772\/67031"},{"key":"ref_7","doi-asserted-by":"crossref","first-page":"980","DOI":"10.1007\/s10762-019-00619-8","article-title":"A Robust Protocol for In Vivo THz Skin Measurements","volume":"40","author":"Sun","year":"2019","journal-title":"J. Infrared Millim. Terahertz Waves"},{"key":"ref_8","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1159\/000056328","article-title":"Effects of Skin Occlusion on Percutaneous Absorption: An Overview","volume":"14","author":"Zhai","year":"2001","journal-title":"Ski. Pharmacol. Appl. Ski. Physiol."},{"key":"ref_9","doi-asserted-by":"crossref","first-page":"064001","DOI":"10.1088\/2040-8986\/abf6ba","article-title":"Photoconductive emitters for pulsed terahertz generation","volume":"23","author":"Bacon","year":"2021","journal-title":"J. Opt."},{"key":"ref_10","doi-asserted-by":"crossref","first-page":"3150","DOI":"10.1021\/acsphotonics.1c00634","article-title":"Rapid Imaging of Pulsed Terahertz Radiation with Spatial Light Modulators and Neural Networks","volume":"8","author":"Stantchev","year":"2021","journal-title":"ACS Photonics"},{"key":"ref_11","doi-asserted-by":"crossref","first-page":"31","DOI":"10.1109\/MSP.2007.914998","article-title":"Sparse sampling of signal innovations: Theory, algorithms, and performance bounds","volume":"25","author":"Blu","year":"2008","journal-title":"IEEE Signal Process. Mag."},{"key":"ref_12","unstructured":"Porat, B. (1997). A Course in Digital Signal Processing, John Wiley & Sons."},{"key":"ref_13","unstructured":"Kay, S.M. (1988). Modern Spectral Estimation: Theory and Application, Prentice-Hall."},{"key":"ref_14","unstructured":"Jonathan, D., and Cryer, K.-S.C. (2008). Introduction To Spectral Analysis. Time Series Analysis, Springer."},{"key":"ref_15","doi-asserted-by":"crossref","unstructured":"Karl, J.H. (1989). 4-Couplets and Elementary Filters. Introduction to Digital Signal Processing, Academic Press.","DOI":"10.1016\/B978-0-12-398420-3.50008-4"},{"key":"ref_16","doi-asserted-by":"crossref","first-page":"347","DOI":"10.1111\/j.1365-246X.1973.tb03424.x","article-title":"The Retrieval of Harmonics from a Covariance Function","volume":"33","author":"Pisarenko","year":"1973","journal-title":"Geophys. J. Int."},{"key":"ref_17","doi-asserted-by":"crossref","first-page":"1741","DOI":"10.1109\/TSP.2006.890907","article-title":"Sampling Moments and Reconstructing Signals of Finite Rate of Innovation: Shannon Meets Strang Fix","volume":"55","author":"Dragotti","year":"2007","journal-title":"IEEE Trans. Signal Process."}],"container-title":["Sensors"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.mdpi.com\/1424-8220\/22\/9\/3387\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,10,10]],"date-time":"2025-10-10T23:03:12Z","timestamp":1760137392000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.mdpi.com\/1424-8220\/22\/9\/3387"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2022,4,28]]},"references-count":17,"journal-issue":{"issue":"9","published-online":{"date-parts":[[2022,5]]}},"alternative-id":["s22093387"],"URL":"https:\/\/doi.org\/10.3390\/s22093387","relation":{},"ISSN":["1424-8220"],"issn-type":[{"type":"electronic","value":"1424-8220"}],"subject":[],"published":{"date-parts":[[2022,4,28]]}}}