Exploring modern alternatives to the Whittaker-Shannon-Nyquist sampling theorem in THz Spectroscopy

Christian D. Andersen; Jacob A.S. Noura; Bjorn H. Molvig; Oscar G. Garcia; Simon J. Lange

doi:10.1109/NUSOD54938.2022.9894815

Exploring modern alternatives to the Whittaker-Shannon-Nyquist sampling theorem in THz Spectroscopy

Christian D. Andersen
, Jacob A.S. Noura
, Bjorn H. Molvig
, Oscar G. Garcia
, Simon J. Lange^*

^*Corresponding author for this work

Technical University of Denmark

Research output: Chapter in Book/Report/Conference proceeding › Article in proceedings › Research › peer-review

Abstract

We present simulations for a THz cross-correlation spectroscopy (THz-CCS) optical system. The aim is using compressed sensing (CS) to reconstruct the THz signal from a random under sampling of the signal and potentially replacing a delay stage unit of the THz-CCS system to increase robustness and cost-effectiveness of the optical system. We present results from using the CS to attempt to reduce the number of samples required to interpolate the THz signal in question. We compared Shannon-Whittaker interpolation to CS reconstruction in a multitude of basis. We conclude that within the current implementation of CS Shannon-Whittaker interpolation beats CS for our simulated THz signal. We have however only just begun to explore the multitude of potential CS implementations for THz spectroscopy systems and see a host of additional explorations to be conducted in the near future.

Original language	English
Title of host publication	Proceedings of the International Conference on Numerical Simulation of Optoelectronic Devices, NUSOD 2022
Publisher	IEEE
Publication date	2022
Pages	21-22
ISBN (Print)	978-1-6654-7898-4
ISBN (Electronic)	978-1-6654-7899-1
DOIs	https://doi.org/10.1109/NUSOD54938.2022.9894815
Publication status	Published - 2022
Event	2022 International Conference on Numerical Simulation of Optoelectronic Devices - Turin, Italy Duration: 12 Sept 2022 → 16 Sept 2022

Conference

Conference	2022 International Conference on Numerical Simulation of Optoelectronic Devices
Country/Territory	Italy
City	Turin
Period	12/09/2022 → 16/09/2022

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10.1109/NUSOD54938.2022.9894815

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@inproceedings{e8b580ef9f4d49548d205bfb75155764,

title = "Exploring modern alternatives to the Whittaker-Shannon-Nyquist sampling theorem in THz Spectroscopy",

abstract = "We present simulations for a THz cross-correlation spectroscopy (THz-CCS) optical system. The aim is using compressed sensing (CS) to reconstruct the THz signal from a random under sampling of the signal and potentially replacing a delay stage unit of the THz-CCS system to increase robustness and cost-effectiveness of the optical system. We present results from using the CS to attempt to reduce the number of samples required to interpolate the THz signal in question. We compared Shannon-Whittaker interpolation to CS reconstruction in a multitude of basis. We conclude that within the current implementation of CS Shannon-Whittaker interpolation beats CS for our simulated THz signal. We have however only just begun to explore the multitude of potential CS implementations for THz spectroscopy systems and see a host of additional explorations to be conducted in the near future.",

author = "Andersen, \{Christian D.\} and Noura, \{Jacob A.S.\} and Molvig, \{Bjorn H.\} and Garcia, \{Oscar G.\} and Lange, \{Simon J.\}",

note = "Publisher Copyright: {\textcopyright} 2022 IEEE.; 2022 International Conference on Numerical Simulation of Optoelectronic Devices, NUSOD ; Conference date: 12-09-2022 Through 16-09-2022",

year = "2022",

doi = "10.1109/NUSOD54938.2022.9894815",

language = "English",

isbn = "978-1-6654-7898-4",

pages = "21--22",

booktitle = "Proceedings of the International Conference on Numerical Simulation of Optoelectronic Devices, NUSOD 2022",

publisher = "IEEE",

address = "United States",

}

Andersen, CD, Noura, JAS, Molvig, BH, Garcia, OG & Lange, SJ 2022, Exploring modern alternatives to the Whittaker-Shannon-Nyquist sampling theorem in THz Spectroscopy. in Proceedings of the International Conference on Numerical Simulation of Optoelectronic Devices, NUSOD 2022. IEEE, pp. 21-22, 2022 International Conference on Numerical Simulation of Optoelectronic Devices, Turin, Italy, 12/09/2022. https://doi.org/10.1109/NUSOD54938.2022.9894815

Exploring modern alternatives to the Whittaker-Shannon-Nyquist sampling theorem in THz Spectroscopy. / Andersen, Christian D.; Noura, Jacob A.S.; Molvig, Bjorn H. et al.
Proceedings of the International Conference on Numerical Simulation of Optoelectronic Devices, NUSOD 2022. IEEE, 2022. p. 21-22.

Research output: Chapter in Book/Report/Conference proceeding › Article in proceedings › Research › peer-review

TY - GEN

T1 - Exploring modern alternatives to the Whittaker-Shannon-Nyquist sampling theorem in THz Spectroscopy

AU - Andersen, Christian D.

AU - Noura, Jacob A.S.

AU - Molvig, Bjorn H.

AU - Garcia, Oscar G.

AU - Lange, Simon J.

PY - 2022

Y1 - 2022

N2 - We present simulations for a THz cross-correlation spectroscopy (THz-CCS) optical system. The aim is using compressed sensing (CS) to reconstruct the THz signal from a random under sampling of the signal and potentially replacing a delay stage unit of the THz-CCS system to increase robustness and cost-effectiveness of the optical system. We present results from using the CS to attempt to reduce the number of samples required to interpolate the THz signal in question. We compared Shannon-Whittaker interpolation to CS reconstruction in a multitude of basis. We conclude that within the current implementation of CS Shannon-Whittaker interpolation beats CS for our simulated THz signal. We have however only just begun to explore the multitude of potential CS implementations for THz spectroscopy systems and see a host of additional explorations to be conducted in the near future.

AB - We present simulations for a THz cross-correlation spectroscopy (THz-CCS) optical system. The aim is using compressed sensing (CS) to reconstruct the THz signal from a random under sampling of the signal and potentially replacing a delay stage unit of the THz-CCS system to increase robustness and cost-effectiveness of the optical system. We present results from using the CS to attempt to reduce the number of samples required to interpolate the THz signal in question. We compared Shannon-Whittaker interpolation to CS reconstruction in a multitude of basis. We conclude that within the current implementation of CS Shannon-Whittaker interpolation beats CS for our simulated THz signal. We have however only just begun to explore the multitude of potential CS implementations for THz spectroscopy systems and see a host of additional explorations to be conducted in the near future.

U2 - 10.1109/NUSOD54938.2022.9894815

DO - 10.1109/NUSOD54938.2022.9894815

M3 - Article in proceedings

AN - SCOPUS:85139132602

SN - 978-1-6654-7898-4

SP - 21

EP - 22

BT - Proceedings of the International Conference on Numerical Simulation of Optoelectronic Devices, NUSOD 2022

PB - IEEE

T2 - 2022 International Conference on Numerical Simulation of Optoelectronic Devices

Y2 - 12 September 2022 through 16 September 2022

ER -

Exploring modern alternatives to the Whittaker-Shannon-Nyquist sampling theorem in THz Spectroscopy

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