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The comparative sense of sparse deconvolution and least-squares deconvolution methods in increasing the temporal resolution of GPR data

  • Sadegh Moghaddam
  • Behrooz OskooiEmail author
  • Alireza Goudarzi
  • Asghar Azadi
Original Paper
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Abstract

Improving the temporal resolution of ground-penetrating radar (GPR) data is a fundamental factor in presenting the characteristics of the underground structures. The advantages of sparse signal processing using the majorization-minimization (MM) method in GPR signal compression are investigated. In this method, minimizing the cost function is determined with L1 and L2 norms; also, the banded structures of matrices resulting from the sparse deconvolution problem are regarded. Then, the MM algorithm has been implemented with least-squares deconvolution (LSQR) on the synthetic and real data collected by a system with dual-frequency antennas of 300 and 800 MHz. The compression process has resulted in a high-resolution image from the subsurface layers and anomalies. Analysis of the outputs reported that the reflection coefficient improved significantly by application of the MM algorithm to the synthetic and real data compared with the least-squares deconvolution which only filters the data. The power spectrum after using the MM algorithm shows acceptable compression. Moreover, this algorithm leads to a considerable improvement on the amplitudes so that the hidden anomalies are better restored.

Keywords

Ground-penetrating radar (GPR) Compression Majorization-minimization (MM) method Least-squares deconvolution (LSQR) 
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Notes

Acknowledgments

The authors highly appreciate the Pishgam Tajhiz Bonyan and Zamin Physic Pouya companies for their instrumental supports. We also thank Mr. Abedini and Ms. Faeghi for collecting the data.

Funding information

This work was originally funded by the research council of the University of Tehran (UT) in Iran. Behrooz Oskooi received funding from the UT under the mission commandment no. 155/96/1894 dated December 23, 2017, for a 1-year sabbatical leave starting from January 21, 2018, at the Luleå University of Technology in Sweden.

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Copyright information

© Saudi Society for Geosciences 2019

Authors and Affiliations

  • Sadegh Moghaddam
    • 1
  • Behrooz Oskooi
    • 1
    • 2
    Email author
  • Alireza Goudarzi
    • 3
  • Asghar Azadi
    • 4
  1. 1.Institute of GeophysicsUniversity of TehranTehranIran
  2. 2.Division of Geosciences and Environmental Engineering of the Department of Civil, Environment and Natural Resources EngineeringLuleå University of TechnologyLuleåSweden
  3. 3.Graduate University of Advanced TechnologyKermanIran
  4. 4.Payam Noor University of ParandTehranIran

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