Wide-Angle Beam-Scanning Antenna Array for Extending the Lateral Detection Range of GPR
Abstract
1. Introduction
- A BS-GPR concept and compact system architecture are proposed to extend the lateral detection range without increasing the antenna number or array aperture.
- An FPGA-controlled phased-array implementation with coordinated control is developed to realize flexible beam steering and programmable multi-line acquisition.
- A practical acquisition and imaging workflow is established and validated through simulations and experiments, demonstrating the reliable detection of targets located at different ranges and off-broadside angles, including regions beyond the view field of conventional GPR.
2. Operating Principle of the BS-GPR System
2.1. Design of the BS-GPR System
2.2. Principle of the Wide-Angle BS-GPR
3. Design and Analysis of the BS-GPR System
3.1. Antenna Elements and Array Configuration
3.2. Phase-Shifting Network
4. Test of the BS-GPR System
4.1. Phase-Shifting Network Test
4.2. Antenna Element and Array Testing
5. Target Detection Experiments of the BS-GPR System
5.1. Free-Space Detection
5.2. Sand-Tank Detection
6. Conclusions
Author Contributions
Funding
Data Availability Statement
Acknowledgments
Conflicts of Interest
References
- Alani, M.; Lantini, L. Recent advances in tree root mapping and assessment using non-destructive testing methods: A focus on ground penetrating radar. Surv. Geophys. 2020, 41, 605–646. [Google Scholar] [CrossRef]
- Álvarez López, Y.; García-Fernández, M.; Álvarez-Narciandi, G.; Las-Heras Andrés, F. Unmanned aerial vehicle-based ground-penetrating radar systems: A review. IEEE Geosci. Remote Sens. Mag. 2022, 10, 66–91. [Google Scholar] [CrossRef]
- Pathirana, S.; Lambot, S.; Krishnapillai, M.; Cheema, M.; Smeaton, C.; Galagedara, L. Ground-Penetrating Radar and Electromagnetic Induction: Challenges and Opportunities in Agriculture. Remote Sens. 2023, 15, 2932. [Google Scholar] [CrossRef]
- Rieß, A.; Dietrich, P. Investigation of hydrogeological structures in carbonate rock with ground penetrating radar. Environ. Earth Sci. 2025, 84, 202. [Google Scholar] [CrossRef]
- Dong, Z.; Feng, X.; Zhou, H.; Liu, C.; Sato, M. Effects of induced field rotation from rough surface on H-alpha decomposition of full-polarimetric GPR. IEEE Trans. Geosci. Remote Sens. 2021, 59, 9192–9204. [Google Scholar] [CrossRef]
- Solla, M.; Pérez-Gracia, V.; Fontul, S. A review of GPR application on transport infrastructures: Troubleshooting and best practices. Remote Sens. 2021, 13, 672. [Google Scholar] [CrossRef]
- Shen, H.; Li, X.; Duan, R.; Zhao, Y.; Zhao, J.; Che, H.; Liu, G.; Xue, Z.; Yan, C.; Liu, J.; et al. Quality evaluation of ground improvement by deep cement mixing piles via ground-penetrating radar. Nat. Commun. 2023, 14, 3448. [Google Scholar] [CrossRef]
- Dong, Z.; Xue, B.; Lei, J.; Zhao, X.; Gao, J. Study on propagation characteristics of ground penetrating radar wave in dikes and dams with polymer grouting repair using finite-difference time-domain with perfectly matched layer boundary condition. Sustainability 2022, 14, 10293. [Google Scholar] [CrossRef]
- Yuan, W.; Liu, S.; Zhao, Q.; Deng, L.; Lu, Q.; Pan, L.; Li, Z. Application of Ground-Penetrating Radar with the Logging Data Constraint in the Detection of Fractured Rock Mass in Dazu Rock Carvings, Chongqing, China. Remote Sens. 2023, 15, 4452. [Google Scholar] [CrossRef]
- Xu, X.; Peng, S.; Xia, Y.; Ji, W. The development of a multi-channel GPR system for roadbed damage detection. Microelectron. J. 2014, 45, 1542–1555. [Google Scholar] [CrossRef]
- Pan, X.; Wollschläger, U.; Gerhards, H.; Roth, K. Optimization of multi-channel ground-penetrating radar for quantifying field-scale soil water dynamics. J. Appl. Geophys. 2012, 82, 101–109. [Google Scholar] [CrossRef]
- Chen, Y.; Chen, X.; Wang, Y.; Zu, S. The interpolation of sparse geophysical data. Surv. Geophys. 2018, 39, 877–910. [Google Scholar] [CrossRef]
- García-Fernández, M.; Álvarez López, Y.; Las-Heras Andrés, F. Airborne multi-channel ground penetrating radar for improvised explosive devices and landmine detection. IEEE Access 2016, 8, 165927–165943. [Google Scholar] [CrossRef]
- Rocca, P.; Oliveri, G.; Mailloux, R.J.; Massa, A. Unconventional phased array architectures and design methodologies—A review. Proc. IEEE 2016, 104, 544–561. [Google Scholar] [CrossRef]
- Yin, L.; Yang, P.; Dong, T.; Nie, Z. A compact independent dual-polarized 2-bit phased-array antenna. IEEE Antennas Wirel. Propag. Lett. 2025, 24, 923–927. [Google Scholar] [CrossRef]
- Mackay, A.J.; Eleftheriades, G.V. Mixer-fed antenna array with full scanning and sidelobe control. IEEE Trans. Antennas Propag. 2025, 73, 941–954. [Google Scholar] [CrossRef]
- Zhao, G.; Huang, H.; Yu, Y.; Zhao, K.; Yang, Z.; Chen, G.; Zhang, Y. Study on the quantitative precipitation estimation of X-band dual-polarization phased array radar from specific differential phase. Remote Sens. 2023, 15, 359. [Google Scholar] [CrossRef]
- Ren, G.; Sun, Y.; Sun, H.; Dong, Y.; Yang, Y.; Xiao, H. A case study on two differential reflectivity columns in a convective cell: Phased-array radar observation and cloud model simulation. Remote Sens. 2024, 16, 460. [Google Scholar] [CrossRef]
- Zhao, L.; He, Y.; Zhao, G.; Chen, X.; Huang, G.; Lin, W. Scanning angle extension of a millimeter-wave antenna array using electromagnetic band gap ground. IEEE Trans. Antennas Propag. 2022, 70, 7264–7269. [Google Scholar] [CrossRef]
- Li, M.; Chen, S.-L.; Liu, Y.; Guo, Y.J. Wide-angle beam-scanning phased-array antennas: A review. IEEE Open J. Antennas Propag. 2023, 4, 695–712. [Google Scholar] [CrossRef]
- Wu, S.; Zhang, Y.; Liu, H.; Wang, T.; Li, X. UAV-mounted ground-penetrating radar for object detection based on cross-correlation background subtraction method. Remote Sens. 2022, 14, 5132. [Google Scholar] [CrossRef]
- García-Fernández, M.; Álvarez-Narciandi, G.; Álvarez López, Y.; Las-Heras Andrés, F. Improvements in GPR-SAR imaging focusing and detection capabilities of UAV-mounted GPR systems. ISPRS J. Photogramm. Remote Sens. 2022, 189, 128–142. [Google Scholar] [CrossRef]
- Pitcher, A.D.; Georgiev, M.; Nikolova, N.K.; Nicolici, N. Parallelized field-programmable gate array data processing for high-throughput pulsed-radar systems. Sensors 2025, 25, 239. [Google Scholar] [CrossRef]
- Yang, M.; Yang, J.; Hou, Y.; Jin, C. Implementation architecture of signal processing in pulse Doppler radar system based on FPGA. J. Eng. 2019, 2019, 7335–7338. [Google Scholar] [CrossRef]
- Zhao, S.; Gao, S.; Wang, R.; Wang, Y.; Zhou, F.; Guo, N. Acceleration and implementation of convolutional neural networks based on FPGA. Digit. Signal Process. 2023, 141, 104188. [Google Scholar] [CrossRef]
- Iqbal, Z.; Pour, M. Addressing grating lobes in linear scanning phased arrays with self-nulling elements and optimized amplitude distributions. Prog. Electromagn. Res. M 2021, 100, 151–161. [Google Scholar] [CrossRef]

















| Module | Main Function | Inputs | Outputs | Communication |
|---|---|---|---|---|
| CCS I | Configure scan parameters; initialize transceiver; perform trigger acquisition; manage automatic storage | Scan range , step ; transceiver settings (frequency band, power level, sweep points); storage path/naming | Angle list ; acquisition trigger; stored dataset indexed by | Control link to transceiver (instrument interface); local file system |
| CCS II | Compute required phase distribution per angle; quantize to discrete phase states; send commands to FPGA | , array geometry (N, d); beam-steering law (Formula 3); phase resolution | Quantized phase commands for each element | RS485 to FPGA controller |
| FPGA control board | Receive phase commands; program phase shifters in parallel; update phase state synchronously | Phase command words from CCS II | Digital control signals to phase shifters; updated phase state | GPIO/digital control lines to phase shifters; RS485 from CCS II |
| Phase shifters | Apply phase delays to each Tx channel to steer the beam | Digital phase state | Radio frequency (RF) outputs with specified phase | RF path; digital control from FPGA |
| Signal transceiver | Generate RF sweep; receive echo via Rx chain; output measured frequency-domain response | Acquisition trigger; sweep configuration | Measured responses | Instrument interface to CCS I |
| H1 | H2 | H3 | H4 | L1 | L2 | L3 | L4 |
| 3 | 2.4 | 12 | 0.6 | 52.5 | 5 | 30 | 45 |
| L5 | R1 | R2 | R3 | W1 | W2 | W3 | W4 |
| 75 | 4 | 7 | 3 | 52.5 | 6 | 8 | 30 |
| 2.0 GHz | Angle (°) | 0 | 15 | 30 | 45 | 60 |
| HPBW(°) | 17.5 | 17.7 | 19.8 | 27.1 | 33 | |
| 2.3 GHz | Angle (°) | 0 | 15 | 30 | 45 | 60 |
| HPBW (°) | 14.8 | 15.3 | 17.7 | 23.8 | 30.4 | |
| 2.6 GHz | Angle (°) | 0 | 15 | 30 | 45 | 60 |
| HPBW (°) | 13.2 | 13.7 | 15.8 | 20.2 | 28.8 |
| Desired | Measured | Error | Desired | Measured | Error |
|---|---|---|---|---|---|
| 30 | 29.03 | 0.97 | 210 | 211.23 | 1.23 |
| 60 | 58.80 | 1.20 | 240 | 239.22 | 0.78 |
| 90 | 86.86 | 3.14 | 270 | 268.87 | 1.13 |
| 120 | 118.31 | 1.69 | 300 | 299.85 | 0.15 |
| 150 | 146.00 | 4.00 | 330 | 330.78 | 0.78 |
| 180 | 180.94 | 0.94 | 360 | 362.00 | 2.00 |
Disclaimer/Publisher’s Note: The statements, opinions and data contained in all publications are solely those of the individual author(s) and contributor(s) and not of MDPI and/or the editor(s). MDPI and/or the editor(s) disclaim responsibility for any injury to people or property resulting from any ideas, methods, instructions or products referred to in the content. |
© 2026 by the authors. Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license.
Share and Cite
Zhang, Q.; Zheng, Z.; Wu, J.; Wang, Y.; Guo, L. Wide-Angle Beam-Scanning Antenna Array for Extending the Lateral Detection Range of GPR. Mathematics 2026, 14, 824. https://doi.org/10.3390/math14050824
Zhang Q, Zheng Z, Wu J, Wang Y, Guo L. Wide-Angle Beam-Scanning Antenna Array for Extending the Lateral Detection Range of GPR. Mathematics. 2026; 14(5):824. https://doi.org/10.3390/math14050824
Chicago/Turabian StyleZhang, Qifei, Zirui Zheng, Jiahui Wu, Yongqing Wang, and Linyan Guo. 2026. "Wide-Angle Beam-Scanning Antenna Array for Extending the Lateral Detection Range of GPR" Mathematics 14, no. 5: 824. https://doi.org/10.3390/math14050824
APA StyleZhang, Q., Zheng, Z., Wu, J., Wang, Y., & Guo, L. (2026). Wide-Angle Beam-Scanning Antenna Array for Extending the Lateral Detection Range of GPR. Mathematics, 14(5), 824. https://doi.org/10.3390/math14050824

