Robustness of Sparse Reconstruction Methods in Spherical Antenna Near-Field Measurements

Bernd Hofmann; Oliver Kraus; Thomas F. Eibert

doi:10.1109/IEEECONF35879.2020.9329941

Robustness of Sparse Reconstruction Methods in Spherical Antenna Near-Field Measurements

Bernd Hofmann, Oliver Kraus, Thomas F. Eibert

Chair of High-Frequency Engineering

Technical University of Munich

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

Abstract

The robustness of reconstruction strategies for the application of compressed sensing to a spherical antenna nearfield to far-field transformation is investigated. More precisely, the minimum number of measurement samples is determined for different noise levels such that a predefined far-field accuracy is achieved. Considered are the strategies iterative hard thresholding, hard thresholding pursuit, orthogonal matching pursuit, and compressive sampling matching pursuit in a modified form, as well as the quadratically constrained basis pursuit (BP). Modified phase transition diagrams show that depending on the noise and sparsity level a different recovery strategy should be used, while in general the quadratically constrained BP is outperformed by the other considered strategies.

Original language	English
Title of host publication	2020 IEEE International Symposium on Antennas and Propagation and North American Radio Science Meeting, IEEECONF 2020 - Proceedings
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	1773-1774
Number of pages	2
ISBN (Electronic)	9781728166704
DOIs	https://doi.org/10.1109/IEEECONF35879.2020.9329941
State	Published - 5 Jul 2020
Event	2020 IEEE International Symposium on Antennas and Propagation and North American Radio Science Meeting, IEEECONF 2020 - Virtually, Toronto, Canada Duration: 5 Jul 2020 → 10 Jul 2020

Publication series

Name	2020 IEEE International Symposium on Antennas and Propagation and North American Radio Science Meeting, IEEECONF 2020 - Proceedings

Conference

Conference	2020 IEEE International Symposium on Antennas and Propagation and North American Radio Science Meeting, IEEECONF 2020
Country/Territory	Canada
City	Virtually, Toronto
Period	5/07/20 → 10/07/20

Access to Document

10.1109/IEEECONF35879.2020.9329941

Cite this

Hofmann, B., Kraus, O., & Eibert, T. F. (2020). Robustness of Sparse Reconstruction Methods in Spherical Antenna Near-Field Measurements. In 2020 IEEE International Symposium on Antennas and Propagation and North American Radio Science Meeting, IEEECONF 2020 - Proceedings (pp. 1773-1774). Article 9329941 (2020 IEEE International Symposium on Antennas and Propagation and North American Radio Science Meeting, IEEECONF 2020 - Proceedings). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/IEEECONF35879.2020.9329941

Hofmann, Bernd ; Kraus, Oliver ; Eibert, Thomas F. / Robustness of Sparse Reconstruction Methods in Spherical Antenna Near-Field Measurements. 2020 IEEE International Symposium on Antennas and Propagation and North American Radio Science Meeting, IEEECONF 2020 - Proceedings. Institute of Electrical and Electronics Engineers Inc., 2020. pp. 1773-1774 (2020 IEEE International Symposium on Antennas and Propagation and North American Radio Science Meeting, IEEECONF 2020 - Proceedings).

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abstract = "The robustness of reconstruction strategies for the application of compressed sensing to a spherical antenna nearfield to far-field transformation is investigated. More precisely, the minimum number of measurement samples is determined for different noise levels such that a predefined far-field accuracy is achieved. Considered are the strategies iterative hard thresholding, hard thresholding pursuit, orthogonal matching pursuit, and compressive sampling matching pursuit in a modified form, as well as the quadratically constrained basis pursuit (BP). Modified phase transition diagrams show that depending on the noise and sparsity level a different recovery strategy should be used, while in general the quadratically constrained BP is outperformed by the other considered strategies.",

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Hofmann, B, Kraus, O & Eibert, TF 2020, Robustness of Sparse Reconstruction Methods in Spherical Antenna Near-Field Measurements. in 2020 IEEE International Symposium on Antennas and Propagation and North American Radio Science Meeting, IEEECONF 2020 - Proceedings., 9329941, 2020 IEEE International Symposium on Antennas and Propagation and North American Radio Science Meeting, IEEECONF 2020 - Proceedings, Institute of Electrical and Electronics Engineers Inc., pp. 1773-1774, 2020 IEEE International Symposium on Antennas and Propagation and North American Radio Science Meeting, IEEECONF 2020, Virtually, Toronto, Canada, 5/07/20. https://doi.org/10.1109/IEEECONF35879.2020.9329941

Robustness of Sparse Reconstruction Methods in Spherical Antenna Near-Field Measurements. / Hofmann, Bernd; Kraus, Oliver; Eibert, Thomas F.
2020 IEEE International Symposium on Antennas and Propagation and North American Radio Science Meeting, IEEECONF 2020 - Proceedings. Institute of Electrical and Electronics Engineers Inc., 2020. p. 1773-1774 9329941 (2020 IEEE International Symposium on Antennas and Propagation and North American Radio Science Meeting, IEEECONF 2020 - Proceedings).

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

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N2 - The robustness of reconstruction strategies for the application of compressed sensing to a spherical antenna nearfield to far-field transformation is investigated. More precisely, the minimum number of measurement samples is determined for different noise levels such that a predefined far-field accuracy is achieved. Considered are the strategies iterative hard thresholding, hard thresholding pursuit, orthogonal matching pursuit, and compressive sampling matching pursuit in a modified form, as well as the quadratically constrained basis pursuit (BP). Modified phase transition diagrams show that depending on the noise and sparsity level a different recovery strategy should be used, while in general the quadratically constrained BP is outperformed by the other considered strategies.

AB - The robustness of reconstruction strategies for the application of compressed sensing to a spherical antenna nearfield to far-field transformation is investigated. More precisely, the minimum number of measurement samples is determined for different noise levels such that a predefined far-field accuracy is achieved. Considered are the strategies iterative hard thresholding, hard thresholding pursuit, orthogonal matching pursuit, and compressive sampling matching pursuit in a modified form, as well as the quadratically constrained basis pursuit (BP). Modified phase transition diagrams show that depending on the noise and sparsity level a different recovery strategy should be used, while in general the quadratically constrained BP is outperformed by the other considered strategies.

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Hofmann B, Kraus O, Eibert TF. Robustness of Sparse Reconstruction Methods in Spherical Antenna Near-Field Measurements. In 2020 IEEE International Symposium on Antennas and Propagation and North American Radio Science Meeting, IEEECONF 2020 - Proceedings. Institute of Electrical and Electronics Engineers Inc. 2020. p. 1773-1774. 9329941. (2020 IEEE International Symposium on Antennas and Propagation and North American Radio Science Meeting, IEEECONF 2020 - Proceedings). doi: 10.1109/IEEECONF35879.2020.9329941

Robustness of Sparse Reconstruction Methods in Spherical Antenna Near-Field Measurements

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