A Compressive Sensing Control Matrix Generating Technique to Extend the Field of View for Drone Detection Optical Systems

Authors

  • Hoang Thi Phuong Thao Faculty of Electronics and Telecommunications, Power University, Hanoi, Vietnam
  • Nguyen Le Cuong Faculty of Electronics and Telecommunications, Power University, Hanoi, Vietnam
  • Tran Vu Kien Faculty of Electronics and Telecommunications, Power University, Hanoi, Vietnam
Volume: 15 | Issue: 4 | Pages: 24660-24666 | August 2025 | https://doi.org/10.48084/etasr.11018

Abstract

Detecting drones based on optical images is a popular topic in current research. However, most current optical systems have a narrow Field of View (FoV), so they often combine many cameras into scanning systems to observe a wide area, reducing object detection speed. This paper presents an optical model that applies compressive sensing techniques to capture images from two FoVs using a single 2D image sensor. This work aims to enhance drone detection by improving image capture efficiency, reducing the need for multiple cameras, and improving detection speed. The sampling process utilizes a Digital Mirror Device (DMD) combined with the proposed control technique. The control technique uses a matrix with columns formed from pseudorandom binary sequences generated from primitive polynomials over a finite field through trace functions and D-transforms. After compressed sensing, data recovery is performed using the popular Orthogonal Matching Pursuit (OMP) recovery algorithm. The system can reduce the number of cameras required and increase object detection speed by not using a scanner such as traditional systems. The effectiveness of the proposed model is evaluated based on Peak Signal Noise Ratio (PSNR), Normalized Root Mean Squared Error (NRMSE), and processing time, using simulated data of drone images under various conditions. The simulation results demonstrate the system's effectiveness, with PSNR ranging from 24.52 to 52.39 dB, NRMSE between 0.004 and 0.081, and reduced processing times, validating its feasibility and advantages for real-time wide-FoV optical drone detection.

Keywords:

compressive sensing, DMD matrix, detecting drones

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References

M. Schneebeli et al., "Drone detection with a multistatic C-band radar," in 2021 21st International Radar Symposium (IRS), Berlin, Germany, Jun. 2021, pp. 1–10. DOI: https://doi.org/10.23919/IRS51887.2021.9466200

P. Wellig et al., "Radar Systems and Challenges for C-UAV," in 2018 19th International Radar Symposium (IRS), Bonn, Germany, Jun. 2018, pp. 1–8. DOI: https://doi.org/10.23919/IRS.2018.8448071

G. Fang, J. Yi, X. Wan, Y. Liu, and H. Ke, "Experimental Research of Multistatic Passive Radar With a Single Antenna for Drone Detection," IEEE Access, vol. 6, pp. 33542–33551, 2018. DOI: https://doi.org/10.1109/ACCESS.2018.2844556

S. Al-Emadi and F. Al-Senaid, "Drone Detection Approach Based on Radio-Frequency Using Convolutional Neural Network," in 2020 IEEE International Conference on Informatics, IoT, and Enabling Technologies (ICIoT), Doha, Qatar, Feb. 2020, pp. 29–34. DOI: https://doi.org/10.1109/ICIoT48696.2020.9089489

B. Kang, H. Ahn, and H. Choo, "A Software Platform for Noise Reduction in Sound Sensor Equipped Drones," IEEE Sensors Journal, vol. 19, no. 21, pp. 10121–10130, Aug. 2019. DOI: https://doi.org/10.1109/JSEN.2019.2927370

M. Ohlenbusch, A. Ahrens, C. Rollwage, and J. Bitzer, "Robust Drone Detection for Acoustic Monitoring Applications," in 2020 28th European Signal Processing Conference (EUSIPCO), Amsterdam, Netherlands, Jan. 2021, pp. 6–10. DOI: https://doi.org/10.23919/Eusipco47968.2020.9287433

F. Svanstrom, C. Englund, and F. Alonso-Fernandez, "Real-Time Drone Detection and Tracking With Visible, Thermal and Acoustic Sensors," in 2020 25th International Conference on Pattern Recognition (ICPR), Milan, Italy, Jan. 2021, pp. 7265–7272. DOI: https://doi.org/10.1109/ICPR48806.2021.9413241

P. Tang, C. Wang, X. Wang, W. Liu, W. Zeng, and J. Wang, "Object Detection in Videos by High Quality Object Linking," IEEE Transactions on Pattern Analysis and Machine Intelligence, vol. 42, no. 5, pp. 1272–1278, Feb. 2020. DOI: https://doi.org/10.1109/TPAMI.2019.2910529

Z. Q. Zhao, P. Zheng, S. T. Xu, and X. Wu, "Object Detection With Deep Learning: A Review," IEEE Transactions on Neural Networks and Learning Systems, vol. 30, no. 11, pp. 3212–3232, Aug. 2019. DOI: https://doi.org/10.1109/TNNLS.2018.2876865

O. Sahin and S. Ozer, "YOLODrone: Improved YOLO Architecture for Object Detection in Drone Images," in 2021 44th International Conference on Telecommunications and Signal Processing (TSP), Brno, Czech Republic, Jul. 2021, pp. 361–365. DOI: https://doi.org/10.1109/TSP52935.2021.9522653

F. Christnacher et al., "Optical and acoustical UAV detection," in Electro-Optical Remote Sensing X, Oct. 2016, vol. 9988, pp. 83–95. DOI: https://doi.org/10.1117/12.2240752

S. Ding, X. Guo, T. Peng, X. Huang, and X. Hong, "Drone Detection and Tracking System Based on Fused Acoustical and Optical Approaches," Advanced Intelligent Systems, vol. 5, no. 10, 2023, Art. no. 2300251. DOI: https://doi.org/10.1002/aisy.202300251

M. Qiao, X. Liu, and X. Yuan, "Snapshot spatial–temporal compressive imaging," Optics Letters, vol. 45, no. 7, pp. 1659–1662, Apr. 2020. DOI: https://doi.org/10.1364/OL.386238

S. A-qian et al., "Optical scanning holography based on compressive sensing using a digital micro-mirror device," Optics Communications, vol. 385, pp. 19–24, Feb. 2017. DOI: https://doi.org/10.1016/j.optcom.2016.10.034

W. Lu, T. Dai, and S. T. Xia, "Binary Matrices for Compressed Sensing," IEEE Transactions on Signal Processing, vol. 66, no. 1, pp. 77–85, Jan. 2018. DOI: https://doi.org/10.1109/TSP.2017.2757915

J. A. Tropp and A. C. Gilbert, "Signal Recovery From Random Measurements Via Orthogonal Matching Pursuit," IEEE Transactions on Information Theory, vol. 53, no. 12, pp. 4655–4666, Sep. 2007. DOI: https://doi.org/10.1109/TIT.2007.909108

M. Ebrahim, S. H. Adil, and D. Nawaz, "A Performance Comparative Analysis of Block Based Compressive Sensing and Line Based Compressive Sensing," Engineering, Technology & Applied Science Research, vol. 8, no. 2, pp. 2809–2813, Apr. 2018. DOI: https://doi.org/10.48084/etasr.1946

S. Vaucher, N. Yazdani, P. Felber, D. E. Lucani, and V. Schiavoni, "ZipLine: in-network compression at line speed," in Proceedings of the 16th International Conference on emerging Networking EXperiments and Technologies, Barcelona Spain, Nov. 2020, pp. 399–405. DOI: https://doi.org/10.1145/3386367.3431302

D. Datta, B. Datta, and H. S. Dutta, "Design and implementation of multibit LFSR on FPGA to generate pseudorandom sequence number," in 2017 Devices for Integrated Circuit (DevIC), Kalyani, India, Mar. 2017, pp. 346–349. DOI: https://doi.org/10.1109/DEVIC.2017.8073966

Q. L. Chi, C. N. Le, and T. P. Xuan, "A Hardware Oriented Method to Generate and Evaluate Nonlinear Interleaved Sequences with Desired Properties," Journal of Information Engineering and Applications, vol. 6, no. 7, 2016.

L. C. Nguyen, V. K. Tran, and C. Q. Le, "On the Desired Properties of Linear Feedback Shift Register (LFSR) Based High-Speed PN-Sequence-Generator," in Machine Learning for Predictive Analysis, 2021, pp. 191–201. DOI: https://doi.org/10.1007/978-981-15-7106-0_19

S. G. Mallat and Z. Zhang, "Matching pursuits with time-frequency dictionaries," IEEE Transactions on Signal Processing, vol. 41, no. 12, pp. 3397–3415, Sep. 1993. DOI: https://doi.org/10.1109/78.258082

D. Needell and J. A. Tropp, "CoSaMP: Iterative signal recovery from incomplete and inaccurate samples," Applied and Computational Harmonic Analysis, vol. 26, no. 3, pp. 301–321, May 2009. DOI: https://doi.org/10.1016/j.acha.2008.07.002

J. Yang and Y. Zhang, "Alternating Direction Algorithms for l1-Problems in Compressive Sensing," SIAM Journal on Scientific Computing, vol. 33, no. 1, pp. 250–278, Jan. 2011. DOI: https://doi.org/10.1137/090777761

H. Wang, F. Nie, and H. Huang, "Robust Distance Metric Learning via Simultaneous L1-Norm Minimization and Maximization," in Proceedings of the 31st International Conference on Machine Learning, Jun. 2014, pp. 1836–1844.

Y. Arjoune, N. Kaabouch, H. El Ghazi, and A. Tamtaoui, "A performance comparison of measurement matrices in compressive sensing," International Journal of Communication Systems, vol. 31, no. 10, 2018, Art. no. e3576. DOI: https://doi.org/10.1002/dac.3576

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How to Cite

[1]
H. T. P. Thao, N. L. Cuong, and T. V. Kien, “A Compressive Sensing Control Matrix Generating Technique to Extend the Field of View for Drone Detection Optical Systems”, Eng. Technol. Appl. Sci. Res., vol. 15, no. 4, pp. 24660–24666, Aug. 2025.

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