Aperture‐Synthesis Radar Imaging With Compressive Sensing for Ionospheric Research
Abstract
Abstract Inverse methods involving compressive sensing are tested in the application of two‐dimensional aperture‐synthesis imaging of radar backscatter from field‐aligned plasma density irregularities in the ionosphere. We consider basis pursuit denoising, implemented with the fast iterative shrinkage thresholding algorithm, and orthogonal matching pursuit (OMP) with a wavelet basis in the evaluation. These methods are compared with two more conventional optimization methods rooted in entropy maximization (MaxENT) and adaptive beamforming (linearly constrained minimum variance or often “Capon's Method.”) Synthetic data corresponding to an extended ionospheric radar target are considered. We find that MaxENT outperforms the other methods in terms of its ability to recover imagery of an extended target with broad dynamic range. Fast iterative shrinkage thresholding algorithm performs reasonably well but does not reproduce the full dynamic range of the target. It is also the most computationally expensive of the methods tested. OMP is very fast computationally but prone to a high degree of clutter in this application. We also point out that the formulation of MaxENT used here is very similar to OMP in some respects, the difference being that the former reconstructs the logarithm of the image rather than the image itself from basis vectors extracted from themore »
- Authors:
-
[1];
[2];
[3];
[4]
- Earth and Atmospheric Sciences Cornell University Ithaca NY USA
- Electrical and Computer Engineering Cornell University Ithaca NY USA
- Leibniz Institute for Atmospheric Physics Kuehlungsborn Germany
- Jicamarca Radio Observatory Lima Peru
- Publication Date:
- Sponsoring Org.:
- USDOE
- OSTI Identifier:
- 1545904
- Resource Type:
- Publisher's Accepted Manuscript
- Journal Name:
- Radio Science
- Additional Journal Information:
- Journal Name: Radio Science Journal Volume: 54 Journal Issue: 6; Journal ID: ISSN 0048-6604
- Publisher:
- American Geophysical Union (AGU)
- Country of Publication:
- United States
- Language:
- English
Citation Formats
Hysell, D. L., Sharma, P., Urco, M., and Milla, M. A. Aperture‐Synthesis Radar Imaging With Compressive Sensing for Ionospheric Research. United States: N. p., 2019.
Web. doi:10.1029/2019RS006805.
Hysell, D. L., Sharma, P., Urco, M., & Milla, M. A. Aperture‐Synthesis Radar Imaging With Compressive Sensing for Ionospheric Research. United States. https://doi.org/10.1029/2019RS006805
Hysell, D. L., Sharma, P., Urco, M., and Milla, M. A. Mon .
"Aperture‐Synthesis Radar Imaging With Compressive Sensing for Ionospheric Research". United States. https://doi.org/10.1029/2019RS006805.
@article{osti_1545904,
title = {Aperture‐Synthesis Radar Imaging With Compressive Sensing for Ionospheric Research},
author = {Hysell, D. L. and Sharma, P. and Urco, M. and Milla, M. A.},
abstractNote = {Abstract Inverse methods involving compressive sensing are tested in the application of two‐dimensional aperture‐synthesis imaging of radar backscatter from field‐aligned plasma density irregularities in the ionosphere. We consider basis pursuit denoising, implemented with the fast iterative shrinkage thresholding algorithm, and orthogonal matching pursuit (OMP) with a wavelet basis in the evaluation. These methods are compared with two more conventional optimization methods rooted in entropy maximization (MaxENT) and adaptive beamforming (linearly constrained minimum variance or often “Capon's Method.”) Synthetic data corresponding to an extended ionospheric radar target are considered. We find that MaxENT outperforms the other methods in terms of its ability to recover imagery of an extended target with broad dynamic range. Fast iterative shrinkage thresholding algorithm performs reasonably well but does not reproduce the full dynamic range of the target. It is also the most computationally expensive of the methods tested. OMP is very fast computationally but prone to a high degree of clutter in this application. We also point out that the formulation of MaxENT used here is very similar to OMP in some respects, the difference being that the former reconstructs the logarithm of the image rather than the image itself from basis vectors extracted from the observation matrix. MaxENT could in that regard be considered a form of compressive sensing.},
doi = {10.1029/2019RS006805},
journal = {Radio Science},
number = 6,
volume = 54,
place = {United States},
year = {2019},
month = {6}
}
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Works referenced in this record:
Near-Optimal Signal Recovery From Random Projections: Universal Encoding Strategies?
journal, January 2006
- Candes, Emmanuel J.; Tao, Terence
- IEEE Transactions on Information Theory, Vol. 52, Issue 12, p. 5406-5425
Stable Recovery of Sparse Signals and an Oracle Inequality
journal, July 2010
- Cai, Tony Tony; Wang, Lie; Xu, Guangwu
- IEEE Transactions on Information Theory, Vol. 56, Issue 7
Radar imaging with compressed sensing: RADAR IMAGING WITH COMPRESSED SENSING
journal, September 2013
- Harding, Brian J.; Milla, Marco
- Radio Science, Vol. 48, Issue 5
Fast <formula formulatype="inline"><tex Notation="TeX">$\ell_{1}$</tex></formula>-Minimization Algorithms for Robust Face Recognition
journal, August 2013
- Yang, A. Y.; Balasubramanian, A. G.
- IEEE Transactions on Image Processing, Vol. 22, Issue 8
Greed is Good: Algorithmic Results for Sparse Approximation
journal, October 2004
- Tropp, J. A.
- IEEE Transactions on Information Theory, Vol. 50, Issue 10
Enhancing the spatiotemporal features of polar mesosphere summer echoes using coherent MIMO and radar imaging at MAARSY
journal, January 2019
- Urco, Juan Miguel; Chau, Jorge Luis; Weber, Tobias
- Atmospheric Measurement Techniques, Vol. 12, Issue 2
High-resolution frequency-wavenumber spectrum analysis
journal, January 1969
- Capon, J.
- Proceedings of the IEEE, Vol. 57, Issue 8
Fast Non-Negative Orthogonal Matching Pursuit
journal, September 2015
- Yaghoobi, Mehrdad; Wu, Di; Davies, Mike E.
- IEEE Signal Processing Letters, Vol. 22, Issue 9
Radar interferometry: A new technique for studying plasma turbulence in the ionosphere
journal, January 1981
- Farley, D. T.; Ierkic, H. M.; Fejer, B. G.
- Journal of Geophysical Research, Vol. 86, Issue A3
Signal Recovery From Random Measurements Via Orthogonal Matching Pursuit
journal, December 2007
- Tropp, Joel A.; Gilbert, Anna C.
- IEEE Transactions on Information Theory, Vol. 53, Issue 12
Astronomical Data Analysis and Sparsity: From Wavelets to Compressed Sensing
journal, June 2010
- Starck, Jean-Luc; Bobin, Jerome
- Proceedings of the IEEE, Vol. 98, Issue 6
Robust uncertainty principles: exact signal reconstruction from highly incomplete frequency information
journal, February 2006
- Candes, E.J.; Romberg, J.; Tao, T.
- IEEE Transactions on Information Theory, Vol. 52, Issue 2, p. 489-509
Radar imaging of equatorial F region irregularities with maximum entropy interferometry
journal, November 1996
- Hysell, D. L.
- Radio Science, Vol. 31, Issue 6
Imaging radar observations of Farley Buneman waves during the JOULE II experiment
journal, January 2008
- Hysell, D. L.; Michhue, G.; Larsen, M. F.
- Annales Geophysicae, Vol. 26, Issue 7
Parallel and distributed sparse optimization
conference, November 2013
- Peng, Zhimin; Yan, Ming; Yin, Wotao
- 2013 Asilomar Conference on Signals, Systems and Computers
Common volume coherent and incoherent scatter radar observations of mid-latitude sporadic E-layers and QP echoes
journal, January 2004
- Hysell, D. L.; Larsen, M. F.; Zhou, Q. H.
- Annales Geophysicae, Vol. 22, Issue 9
Orthogonal Matching Pursuit for Sparse Signal Recovery With Noise
journal, July 2011
- Cai, T. Tony; Wang, Lie
- IEEE Transactions on Information Theory, Vol. 57, Issue 7
Radar interferometric imaging of field-aligned plasma irregularities in the equatorial electrojet
journal, January 1991
- Kudeki, Erhan; Sürücü, Fahri
- Geophysical Research Letters, Vol. 18, Issue 1
Compressed sensing
journal, April 2006
- Donoho, D. L.
- IEEE Transactions on Information Theory, Vol. 52, Issue 4
The Curvelet Transform
journal, March 2010
- Ma, Jianwei; Plonka, Gerlind
- IEEE Signal Processing Magazine, Vol. 27, Issue 2
Imaging observations of nighttime mid-latitude F-region field-aligned irregularities by an MU radar ultra-multi-channel system
journal, January 2008
- Saito, S.; Yamamoto, M.; Hashiguchi, H.
- Annales Geophysicae, Vol. 26, Issue 8
Uncertainty principles and ideal atomic decomposition
journal, January 2001
- Donoho, D. L.; Huo, X.
- IEEE Transactions on Information Theory, Vol. 47, Issue 7
Observation of three-dimensional structures of quasi-periodic echoes associated with mid-latitude sporadic-E layers by MU radar ultra-multi-channel system
journal, January 2006
- Saito, S.; Yamamoto, M.; Hashiguchi, H.
- Geophysical Research Letters, Vol. 33, Issue 14
Maximum entropy image reconstruction: general algorithm
journal, November 1984
- Skilling, J.; Bryan, R. K.
- Monthly Notices of the Royal Astronomical Society, Vol. 211, Issue 1
Imaging radar observations and theory of type I and type II quasi-periodic echoes
journal, January 2002
- Hysell, D. L.
- Journal of Geophysical Research, Vol. 107, Issue A11
Coherent MIMO to Improve Aperture Synthesis Radar Imaging of Field-Aligned Irregularities: First Results at Jicamarca
journal, May 2018
- Urco, Juan M.; Chau, Jorge L.; Milla, Marco A.
- IEEE Transactions on Geoscience and Remote Sensing, Vol. 56, Issue 5
A Systematic Review of Compressive Sensing: Concepts, Implementations and Applications
journal, January 2018
- Rani, Meenu; Dhok, S. B.; Deshmukh, R. B.
- IEEE Access, Vol. 6
A Fast Iterative Shrinkage-Thresholding Algorithm for Linear Inverse Problems
journal, January 2009
- Beck, Amir; Teboulle, Marc
- SIAM Journal on Imaging Sciences, Vol. 2, Issue 1
A simulation study of coherent radar imaging
journal, September 2000
- Yu, Tian-You; Palmer, Robert D.; Hysell, David L.
- Radio Science, Vol. 35, Issue 5
Patches of polar mesospheric summer echoes characterized from radar imaging observations with MAARSY
journal, January 2016
- Sommer, Svenja; Chau, Jorge L.
- Annales Geophysicae, Vol. 34, Issue 12
Just relax: convex programming methods for identifying sparse signals in noise
journal, March 2006
- Tropp, J. A.
- IEEE Transactions on Information Theory, Vol. 52, Issue 3
Optimal aperture synthesis radar imaging: RADAR IMAGING
journal, March 2006
- Hysell, D. L.; Chau, J. L.
- Radio Science, Vol. 41, Issue 2
Signal Recovery from Random Measurements via Extended Orthogonal Matching Pursuit
journal, May 2015
- Sahoo, Sujit Kumar; Makur, Anamitra
- IEEE Transactions on Signal Processing, Vol. 63, Issue 10