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Simulated and Experimental Verification for a Terahertz Specific Finite Rate of Innovation Signal Processing Method

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 mathema...

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Autores principales: Ramirez Barker, Xavier E., Stanchev, Rayko I., Hernandez Serrano, Arturo I., Pickwell-MacPherson, Emma
Formato: Online Artículo Texto
Lenguaje:English
Publicado: MDPI 2022
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9100505/
https://www.ncbi.nlm.nih.gov/pubmed/35591075
http://dx.doi.org/10.3390/s22093387
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author Ramirez Barker, Xavier E.
Stanchev, Rayko I.
Hernandez Serrano, Arturo I.
Pickwell-MacPherson, Emma
author_facet Ramirez Barker, Xavier E.
Stanchev, Rayko I.
Hernandez Serrano, Arturo I.
Pickwell-MacPherson, Emma
author_sort Ramirez Barker, Xavier E.
collection PubMed
description 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.
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spelling pubmed-91005052022-05-14 Simulated and Experimental Verification for a Terahertz Specific Finite Rate of Innovation Signal Processing Method Ramirez Barker, Xavier E. Stanchev, Rayko I. Hernandez Serrano, Arturo I. Pickwell-MacPherson, Emma Sensors (Basel) Article 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. MDPI 2022-04-28 /pmc/articles/PMC9100505/ /pubmed/35591075 http://dx.doi.org/10.3390/s22093387 Text en © 2022 by the authors. https://creativecommons.org/licenses/by/4.0/Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (https://creativecommons.org/licenses/by/4.0/).
spellingShingle Article
Ramirez Barker, Xavier E.
Stanchev, Rayko I.
Hernandez Serrano, Arturo I.
Pickwell-MacPherson, Emma
Simulated and Experimental Verification for a Terahertz Specific Finite Rate of Innovation Signal Processing Method
title Simulated and Experimental Verification for a Terahertz Specific Finite Rate of Innovation Signal Processing Method
title_full Simulated and Experimental Verification for a Terahertz Specific Finite Rate of Innovation Signal Processing Method
title_fullStr Simulated and Experimental Verification for a Terahertz Specific Finite Rate of Innovation Signal Processing Method
title_full_unstemmed Simulated and Experimental Verification for a Terahertz Specific Finite Rate of Innovation Signal Processing Method
title_short Simulated and Experimental Verification for a Terahertz Specific Finite Rate of Innovation Signal Processing Method
title_sort simulated and experimental verification for a terahertz specific finite rate of innovation signal processing method
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9100505/
https://www.ncbi.nlm.nih.gov/pubmed/35591075
http://dx.doi.org/10.3390/s22093387
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