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Sensors 2014, 14(3), 5426-5440; doi:10.3390/s140305426
Article

Experimental Investigations on Airborne Gravimetry Based on Compressed Sensing

1,* , 1,* , 2
, 1
, 1
 and 1
1 Department of Automatic Control, College of Mechatronics and Automation, National University of Defense Technology, Deya Street 109, Changsha 410073, China 2 School of Civil and Environmental Engineering, University of New South Wales, Sydney, NSW 2052, Australia
* Authors to whom correspondence should be addressed.
Received: 2 January 2014 / Revised: 6 March 2014 / Accepted: 10 March 2014 / Published: 18 March 2014
(This article belongs to the Section Physical Sensors)
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Abstract

Gravity surveys are an important research topic in geophysics and geodynamics. This paper investigates a method for high accuracy large scale gravity anomaly data reconstruction. Based on the airborne gravimetry technology, a flight test was carried out in China with the strap-down airborne gravimeter (SGA-WZ) developed by the Laboratory of Inertial Technology of the National University of Defense Technology. Taking into account the sparsity of airborne gravimetry by the discrete Fourier transform (DFT), this paper proposes a method for gravity anomaly data reconstruction using the theory of compressed sensing (CS). The gravity anomaly data reconstruction is an ill-posed inverse problem, which can be transformed into a sparse optimization problem. This paper uses the zero-norm as the objective function and presents a greedy algorithm called Orthogonal Matching Pursuit (OMP) to solve the corresponding minimization problem. The test results have revealed that the compressed sampling rate is approximately 14%, the standard deviation of the reconstruction error by OMP is 0.03 mGal and the signal-to-noise ratio (SNR) is 56.48 dB. In contrast, the standard deviation of the reconstruction error by the existing nearest-interpolation method (NIPM) is 0.15 mGal and the SNR is 42.29 dB. These results have shown that the OMP algorithm can reconstruct the gravity anomaly data with higher accuracy and fewer measurements.
Keywords: compressed sensing; strap-down airborne gravimeter; airborne gravimetry; orthogonal matching pursuit; gravity anomaly data reconstruction compressed sensing; strap-down airborne gravimeter; airborne gravimetry; orthogonal matching pursuit; gravity anomaly data reconstruction
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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Yang, Y.; Wu, M.; Wang, J.; Zhang, K.; Cao, J.; Cai, S. Experimental Investigations on Airborne Gravimetry Based on Compressed Sensing. Sensors 2014, 14, 5426-5440.

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