ISSN 1210-2512 (Print)

ISSN 1805-9600 (Online)

Radioengineering

Radioeng

Proceedings of Czech and Slovak Technical Universities

About the Journal
Feature Articles
Editorial Board
Publishing Department
Society [CZ]

Log out
Your Profile
Administration

April 2026, Volume 35, Number 1 [DOI: 10.13164/re.2026-1]

Show all Hide all

Y. Cheng, J. Liu, J. Su [references] [full-text] [DOI: 10.13164/re.2026.0001] [Download Citations]
Research on Clutter Suppression Based on Complex-Valued Residual Network and Dynamic Reward Mechanism

As deep reinforcement learning becomes increasingly applied to clutter suppression, existing methods have shown a certain level of adaptability. However, their capabilities in feature representation and generalization remain limited. To address the shortcomings associated with the static reward mechanism—namely, its limited adaptability and slow learning speed—a Complex-Valued Residual Deep Q-Network based on a Dynamic Reward Function (CV-ResDQN-DRF) is proposed in this study. In this method, complex-valued residual units are introduced into the complex-valued neural network framework. Through these units, a complex-valued residual network is constructed to enhance the representational capacity of both amplitude and phase features of signals. Simultaneously, a dynamic reward mechanism is designed, wherein the feedback is adaptively adjusted in real time according to the environmental states and the agent’s behavior, thereby accelerating the learning process. Experimental results show that the proposed CV-ResDQN-DRF model achieves an average signal-to-clutter-plus-noise ratio (SCNR) improvement of approximately 2.3 dB on simulated data and 1.8 dB on real measured data, and exhibits a significantly faster convergence speed. These results demonstrate a significant enhancement in clutter suppression performance under complex and non-stationary environments.

  1. TORRES, S. M., WARDE, D. A. Ground clutter mitigation for weather radars using the autocorrelation spectral density. Journal of Atmospheric and Oceanic Technology, 2014, vol. 31, no. 10, p. 2049–2066. DOI: 10.1175/JTECH-D-13-00117.1
  2. CHEN, X., WANG,G., DONG,Y., et al. Sea clutter suppression and micromotion marine target detection via radon-linear canonical ambiguity function. IET Radar, Sonar & Navigation, 2015, vol. 9, no. 6, p. 622–631. DOI: 10.1049/iet-rsn.2014.0318
  3. BARRETT, C. R. MTI and pulsed doppler radar. Chapter in: Eaves, J. L., Reedy, E. K. Principles of Modern Radar, 1987, p. 422–464. ISBN: 9781461319719
  4. AOYAGI, J. A study on the MTI weather radar system for rejecting ground clutter. Papers in Meteorology and Geophysics, 1983, vol. 33, no. 4, p. 187–243. DOI: 10.2467/mripapers.33.187
  5. RANNEY, K., MARTONE, A., SOUMEKH, M. Indication of slowly moving targets via change detection. Radar Sensor Technology XI, 2007, vol. 6547, p. 196–207. DOI: 10.1117/12.720743
  6. ORESHKIN, B. N. Adaptive filters for the moving target indicator system [in Russian]. arXiv preprint, 2020, p 1–149. DOI: 10.48550/arXiv.2012.15440
  7. SHORT, R. D. An adaptive MTI for weather clutter suppression. IEEE Transactions on Aerospace and Electronic Systems, 2007, no.5, p. 552–562. DOI: 10.1109/TAES.1982.309268
  8. CHEN, J., HUANG, P., XIA, X. G., et al. Multichannel signal modeling and AMTI performance analysis for distributed space-based radar systems. IEEE Transactions on Geoscience and Remote Sensing, 2022, vol. 60, p. 1–24. DOI: 10.1109/TGRS.2022.3202567
  9. EHARA, N., SASASE, I., MORI, S. Moving target detection by quadrature mirror filter. Electronics and Communications in Japan (Part I: Communications), 1996, vol. 79, no. 4, p. 55–62. DOI: 10.1002/ecja.4410790406
  10. PRABHU, K. M. M., GIRIDHAR, J. Detection performance of an adaptive MTD with WVD as a Doppler filter bank. Signal Processing, 2001, vol. 81, no. 4, p. 693–698. DOI: 10.1016/S0165-1684(00)00241-3
  11. LI, G., ZHANG, H., GAO, Y., et al. Sea clutter suppression using smoothed pseudo–Wigner–Ville distribution–singular value decomposition during sea spikes. Remote Sensing, 2023, vol. 15, no. 22, p. 1–20. DOI: 10.3390/rs15225360
  12. HE, W., LUO, Y., SHANG, X. Motion clutter suppression for non-cooperative target identification based on frequency correlation dual-SVD reconstruction. Sensors, 2024, vol. 24, no. 16, p. 1–17. DOI: 10.3390/s24165298
  13. POON, M. W. Y., KHAN, R. H., LE-NGOC, S. A singular value decomposition (SVD) based method for suppressing ocean clutter in high frequency radar. IEEE Transactions on Signal Processing, 1993, vol. 41, no. 3, p. 1421–1425. DOI: 10.1109/78.205747
  14. CHEN, Z., HE, C., ZHAO, C., et al. Using SVD-FRFT filtering to suppress first-order sea clutter in HFSWR. IEEE Geoscience and Remote Sensing Letters, 2017, vol. 14, no. 7, p. 1076–1080. DOI: 10.1109/LGRS.2017.2697458
  15. CHENG, Q., WU, X., ZHANG, X., et al. A novel sea clutter suppression method based on SVD-FRFTat low signal-to-clutter ratio. Electronics Letters, 2023, vol.59, no.14, p.1–3.DOI:10.1049/ell2.12874
  16. TORRES, S. M., WARDE, D. A. Ground clutter mitigation for weather radars using the autocorrelation spectral density. Journal of Atmospheric and Oceanic Technology, 2014, vol. 31, no. 10, p. 2049–2066. DOI: 10.1175/JTECH-D-13-00117.1
  17. BOWYER, D. E., RAJASEKARAN, P. K., GEBHART, W. W. Adaptive clutter filtering using autogressive spectral estimation. IEEE Transactions on Aerospace and Electronic Systems, 1979, vol. AES-15, no. 4, p. 538–546. DOI: 10.1109/taes.1979.308738
  18. CHENG, Y., SU, J., XIU, C., et al. Adaptive clutter intelligent suppression method based on deep reinforcement learning. Applied Sciences, 2024, vol. 14, no. 17, p. 1–18. DOI: 10.3390/app14177843
  19. DENG, J., SU, C., ZHANG, Z.-M., et al. Evolutionary game analysis of chemical enterprises’ emergency management investment decision under dynamic reward and punishment mechanism. Journal of Loss Prevention in the Process Industries, 2024, vol. 87, p. 1–14. DOI: 10.1016/j.jlp.2023.105230
  20. JARRAY, R., ZAGHBANI, I., BOUALLÈGUE, S. Dynamic reward based deep reinforcement learning algorithm for UAV path planning in large-scale environments. Procedia Computer Science, 2025, vol. 270, p. 692–702. DOI: 10.1016/j.procs.2025.09.189
  21. WANG, S., CHENG, H., KE, Z., et al. Complex-valued residual network learning for parallel MR imaging. In Joint Annual Meeting ISMRM-ESMRMB. Paris (France), 2018.
  22. YANG, L., WU, Z., JIANG, L., et al. Underwater source localization via active deep complex residual network in a shallow-water waveguide. The Journal of the Acoustical Society of America, 2025, vol. 158, no. 4, p. 3017–3035. DOI: 10.1121/10.0039579
  23. VIGER, R., MIROTZNIK, M., LAMBRAKOS, S. G. Synthetic aperture radar image enhancement and phase characterization using complex-valued neural networks. Journal of Applied Remote Sensing, 2025, vol. 19, no. 2, p. 1–29. DOI: 10.1117/1.JRS.19.026504

Keywords: Clutter suppression, complex-valued residual network, dynamic reward function, deep reinforcement learning

W. Xu, J. Zhang, Z. Su [references] [full-text] [DOI: 10.13164/re.2026.0015] [Download Citations]
Explainable Spectrum Prediction Based on VMD-LSTM

To improve the accuracy and interpretability of neural network enabled spectrum prediction, an explainable spectrum prediction framework based on Variational Mode Decomposition (VMD) and Long Short-Term Memory (LSTM) networks, integrated with the Shapley Additive Explanations (SHAP) method (VMD-LSTM), is proposed in this work. Firstly, the raw spectrum data is decomposed into multiple Intrinsic Mode Functions (IMFs) via VMD to reduce sequence complexity. These IMFs are then fed into the LSTM network in parallel to improve prediction accuracy. Secondly, the SHAP method is incorporated to evaluate the impact weights of individual IMF components on the prediction outcomes, revealing the model's decision-making logic. Finally, we weight the input data by multiplying each IMF by its SHAP value to optimize prediction performance. Simulation results based on real spectrum data demonstrate that the proposed VMD-LSTM significantly outperforms baseline models on the metrics of Weighted Quality Evaluation Index (WQE), Root Mean Square Error (RMSE), Mean Absolute Percentage Error (MAPE), and mean absolute error (MAE). By incorporating SHAP weights to refine the model input features, the framework not only provides transparent explanations for the black-box model but also reduces the average WQE, RMSE, and MAPE by 3.99%, 3.23%, and 3.67%, respectively.

  1. BECVAR, Z., GESBERT, D., MACH, P., et al. Machine learning based channel quality prediction in 6G mobile networks. IEEE Communications Magazine, 2023, vol. 61, no. 7, p. 106–112. DOI: 10.1109/MCOM.001.2200305
  2. ZHENG,S., CHEN,S., QI, P., et al. Spectrum sensing based on deep learning classification for cognitive radios. China Communications, 2020, vol. 17, no. 2, p. 138–148. DOI: 10.23919/jcc.2020.02.012
  3. WANG,L., HU, J., JIANG, D., et al. Deep learning models for spectrum prediction: A review. IEEE Sensors Journal, 2024, vol. 24, no. 18, p. 28553–28575. DOI: 10.1109/jsen.2024.3416738
  4. ZUO, P. L., PENG, T., WANG, X., et al. Spectrum prediction for frequency bands with high burstiness: Analysis and method. In Proceedings of the 2020 IEEE 91st Vehicular Technology Conference (VTC2020-Spring). Antwerp (Belgium), 2020, p. 1–7. DOI: 10.1109/VTC2020-Spring48590.2020.9128865
  5. XIA, J., DOU, Z., QI, L., et al. A Hybrid spectrum prediction model based on deep learning. In Proceedings of the 2022 26th International
  6. Conference on Pattern Recognition (ICPR). Montreal (Canada), 2022, p. 2378–2384. DOI: 10.1109/ICPR56361.2022.9956519
  7. ZUO, P. L., WANG, X., LINGHU, W., et al. Prediction-based spectrum access optimization in cognitive radio networks. In Proceedings of the 2018 IEEE 29th Annual International Symposium on Personal, Indoor and Mobile Radio Communications (PIMRC). Bologna (Italy), 2018, p. 1–7. DOI: 10.1109/PIMRC.2018.8580726
  8. TANG, Y., ZHANG, Y., LI, J. A time series driven model for early sepsis prediction based on transformer module. BMC Medical Research Methodology, 2024, vol. 24, p. 1–12. DOI: 10.1186/s12874-023-02138-6
  9. YU, L., GUO, Y., WANG, Q., et al. Spectrum availability prediction for cognitive radio communications: A DCG approach. IEEE Transactions on Cognitive Communications and Networking, 2020, vol. 6, no. 2, p. 476–485. DOI: 10.1109/TCCN.2020.2973572
  10. GENG, K., ZHANG, J. Z., YAO, C. H. Spectrum prediction based on wavelet decomposition explainable LSTM. IEEE Transactions on Consumer Electronics, 2024, vol. 70, no. 4, p. 7470–7481. DOI: 10.1109/TCE.2024.3433595
  11. ZHAO, L., LI, Z., QU, L., et al. A hybrid VMD-LSTM/GRU model to predict non-stationary and irregular waves on the east coast of China. Ocean Engineering, 2023, vol. 276, p. 1–18. DOI: 10.1016/j.oceaneng.2023.114136
  12. HAO, Y., LU, J., PENG, G., et al. F10.7 daily forecast using LSTM combined with VMD method. Space Weather, 2024, vol. 22, no. 1, p. 1–13. DOI: 10.1029/2023SW003552
  13. LV, L., WU, Z., ZHANG, J., et al. A VMD and LSTM based hybrid model of load forecasting for power grid security. IEEE Transactions on Industrial Informatics, 2021, vol. 18, no. 9, p. 6474–6482. DOI: 10.1109/TII.2021.3130237
  14. WU, K., LU, J., LIN, F., et al. A realistic network traffic forecasting method based on VMD and LSTM network. In IEEE International Symposium on Circuits and Systems (ISCAS). Monterey (USA), 2023, p. 1–5. DOI: 10.1109/ISCAS46773.2023.10182143
  15. DING, T., WU, D., SHEN, L., et al. Prediction of significant wave height using a VMD-LSTM-rolling model in the South Sea of China. Frontiers in Marine Science, 2024, vol. 11, p. 1–16. DOI: 10.3389/fmars.2024.1382248
  16. RIBEIRO, M. T., SINGH, S., GUESTRIN, C. "Why should I trust you?" Explaining the predictions of any classifier. In Proceedings of the 22nd ACMSIGKDD International Conference on Knowledge Discovery and Data Mining. San Francisco (USA), 2016, p. 1135–1144. DOI: 10.1145/2939672.2939778
  17. ARRIETA, A. B., DIAZ-RODRIGUEZ, N., DEL SER, J., et al. Explainable Artificial Intelligence (XAI): Concepts, taxonomies, opportunities and challenges toward responsible AI. Information Fusion, 2020, vol. 58, p. 82–115. DOI: 10.1016/j.inffus.2019.12.012
  18. JABEUR, S. B., MEFTEH-WALI, S., VIVIANI, J. L. Forecasting gold price with the XG Boost algorithm and SHAP interaction values. Annals of Operations Research, 2024, vol. 334, no. 1, p. 679–699. DOI: 10.1007/s10479-021-04187-w
  19. WANG, K., ZHANG, L., FU, X. Time series prediction of tunnel boring machine (TBM) performance during excavation using causal explainable artificial intelligence (CX-AI). Automation in Construction, 2023, vol. 147, p. 1–18. DOI: 10.1016/j.autcon.2022.104730
  20. MAARIF, M. R., SALEH, A. R., HABIBI, M., et al. Energy usage forecasting model based on Long Short-Term Memory (LSTM) and eXplainable Artificial Intelligence (XAI). Information, 2023, vol. 14, no. 5, p. 1–18. DOI: 10.3390/info14050265
  21. DRAGOMIRETSKIY, K., ZOSSO, D. Variational mode decomposition. IEEE Transactions on Signal Processing, 2013, vol. 62, no. 3, p. 531–544. DOI: 10.1109/TSP.2013.2288675
  22. DIPIETRO, R., HAGER, G. D. Deep learning: RNNs and LSTM. In Handbook of Medical Image Computing and Computer Assisted Intervention. Zhou, S. K., Rueckert, D., Fichtinger, G. (eds.). Pittsburgh (USA): Academic Press, 2020, p. 503–519. DOI: 10.1016/B978-0-12-816176-0.00026-0
  23. VANDENBROECK, G., LYKOV, A., SCHLEICH, M., et al. On the tractability of SHAP explanations. Journal of Artificial Intelligence Research, 2022, vol. 74, p. 851–886. DOI: 10.1613/jair.1.13283
  24. ANTWARG, L., MILLER, R. M., SHAPIRA, B., et al. Explaining anomalies detected by autoencoders using Shapley additive explanations. Expert Systems with Applications, 2021, vol. 186, p. 1–14. DOI: 10.1016/j.eswa.2021.115736
  25. RAJENDRAN, S., CALVO-PALOMINO, R., FUCHS, M., et al. Electro sense: Open and big spectrum data. IEEE Communications Magazine, 2017, vol. 56, no. 1, p. 210–217.DOI: 10.1109/MCOM.2017.1700200
  26. ZHOU, Y., HE, X., MONTILLET, J. P., et al. An improved ICEEMDAN-MPA-GRU model for GNSS height time series prediction with weighted quality valuation index. GPS Solutions, 2025, vol. 29, no. 3, p. 1–19. DOI: 10.1007/s10291-025-01867-z
  27. ROSZYK, N., LEPACZUK, R. The hybrid forecast of S&P 500 volatility ensembled from VIX, GARCH and LSTM models. arXiv, 2024, p. 1–38. DOI: 10.48550/arXiv.2407.16780
  28. LU, Z., YUAN, K.-H. Welch’s t-Test. In Encyclopedia of Research Design. Salkind, N. J. (ed.). Thousand Oaks (USA): Sage Publications, 2010. DOI: 10.13140/RG.2.1.3057.9607
  29. VAN ZYL, C., YE, X., NAIDOO, R. Harnessing eXplainable artificial intelligence for feature selection in time series energy forecasting:
  30. A comparative analysis of Grad-CAM and SHAP. Applied Energy, 2024, vol. 353, p. 1–15. DOI: 10.1016/j.apenergy.2023.122079

Keywords: Spectrum prediction, Shapley additive explanations, variational mode decomposition, explainable artificial intelligence

Y. Cheng, X. Zhang, Y. Yan [references] [full-text] [DOI: 10.13164/re.2026.0026] [Download Citations]
Adaptive IMM-Based Smoothing Probabilistic Data Association for Maneuvering Target Tracking in Cluttered Environments

Modern radar systems face many challenges, including complex nonlinear motion modelling, real-time changes of target motion model and difficult target trajectory estimation under low signal noise ratio when tracking high maneuvering targets in a cluttered environment. Therefore, an improved probabilistic data association tracking algorithm, termed adaptive transition probability matrix and improved smoothing integrated probabilistic data association (ATPM-ISIPDA) by embedding adaptive interactive multiple models (IMM) and parallel cubature information filter (PCIF) is proposed. Based on the fixed-lag smoothing integrated probabilistic data association (FLSIPDA) and IMM framework, the proposed algorithm uses the model posterior information to adaptively adjust the model transition probability, thereby enhancing model matching accuracy. Additionally, the parallel cubature information filter (PCIF) is utilized in each IMM sub-filter to suppress the state estimation error of nonlinear systems. In the fusion stage, the multi-branch cubature Kalman filter (CKF) prediction results are fused by the weighted accumulation method of the information matrix and vector, and the optimized smoothed state predictions and covariance matrices are generated. Then, the smoothed component data association probability is calculated to obtain the final state estimate, enhancing the fusion and smoothing performance of forward and backward tracks. The simulation results show that compared to the traditional IMM-IPDA algorithm, the average position RMSE is reduced by 31.1%, the FTD accuracy is improved by 15%-20%, and it still maintains a good tracking confirmation rate in cluttered environments.

  1. ZHANG, J., ZENG, C., TAO, H., et al. A broken-track association method for robust multi-target tracking adopting multi-view Doppler measurement information. Signal Processing, 2025, vol.230, p.1–13. DOI: 10.1016/j.sigpro.2024.109815
  2. SHAH, G. A., KHAN,S., MEMON,S. A., et al. Improvement in the tracking performance of a maneuvering target in the presence of clutter. Sensors, 2022, vol. 22, no. 20, p. 1–18. DOI: 10.3390/s22207848
  3. ZHONG, W. Improved IMM algorithm based on deep learning for maneuvering target tracking. In International Russian Smart Industry Conference (Smart Industry Con). Sochi (Russia), 2025, p. 878–882. DOI: 10.1109/SmartIndustryCon65166.2025.10986258
  4. NIE, C., JU, Z., SUN, Z., et al. 3D object detection and tracking based on lidar-camera fusion and IMM-UKF algorithm towards highway driving. IEEE Transactions on Emerging Topics in Computational Intelligence, 2023, vol. 7, no. 4, p. 1242–1252. DOI: 10.1109/TETCI.2023.3259441
  5. LUO,Y., LI, Z., LIAO, Y., et al. Adaptive Markov IMM based multiple fading factors strong tracking CKF for maneuvering hypersonic target tracking. Applied Sciences, 2022, vol. 12, no. 20, p. 1–18. DOI: 10.3390/app122010395
  6. LEE, I. H., PARK, C. G. An improved interacting multiple model algorithm with adaptive transition probability matrix based on the situation. International Journal of Control, Automation and Systems, 2023, vol. 21, no. 10, p. 3299–3312. DOI: 10.1007/s12555-022-0989-4
  7. WANG, S., LI, R., MEN, C., et al. Adaptive IMM algorithm based on variational inference for multiple maneuvering extended targets tracking. Advances in Astronautics, 2025, vol. 8, p. 73–87. DOI: 10.1007/s42423-025-00173-7
  8. XIE, G., SUN, L., WEN, T., et al. Adaptive transition probability matrix-based parallel IMM algorithm. IEEE Transactions on Systems, Man, and Cybernetics: Systems, 2019, vol. 51, no. 5, p. 2980–2989. DOI: 10.1109/TSMC.2019.2922305
  9. YANG, Z., NIE, H., LIU, Y., et al. Robust tracking method for small and weak multiple targets under dynamic interference based on Q-IMM-MHT. Sensors, 2025, vol. 25, no. 4, p. 1–23. DOI: 10.3390/s25041058
  10. PETERSEN, M. E., BEARD, R. W. The integrated probabilistic data association filter adapted to Lie groups. IEEE Transactions on Aerospace and Electronic Systems, 2022, vol.59, no.3, p.2266–2285. DOI: 10.1109/TAES.2022.3214803
  11. ZHAO, J., ZHAN, R., LIU, S., et al. Sequential joint state estimation and track extraction algorithm based on improved backward smoothing. Remote Sensing, 2023, vol. 15, no. 22, p. 1–25. DOI: 10.3390/rs15225369
  12. RADOSAVLJEVIĆ, Z., IVKOVIĆ, D., KOVACEVIĆ, B. ITS efficiency analysis for multi-target tracking in a clutter environment. Remote Sensing, 2024, vol.16, no.8, p.1–21. DOI:10.3390/rs16081471
  13. MEMON, S., SONG, T. L., KIM, T. H. Smoothing data association for target trajectory estimation in cluttered environments. Eurasip Journal on Advances in Signal Processing, 2016, vol. 21, p. 1–13. DOI: 10.1186/s13634-016-0321-7
  14. KIM, M., MEMON, S. A., SHIN, M., et al. Dynamic based trajectory estimation and tracking in an uncertain environment. Expert Systems with Applications, 2021, vol. 177, p. 1–9. DOI: 10.1016/j.eswa.2021.114919
  15. MEMON, S. A., ULLAH, I. Detection and tracking of the trajectories of dynamic UAVs in restricted and cluttered environment. Expert Systems with Applications, 2021, vol. 183, p. 1–10. DOI: 10.1016/j.eswa.2021.115309
  16. KIM, H. J., XIE, Y., YANG, H., et al. An efficient indoor target tracking algorithm using TDOA measurements with applications to ultra-wideband systems. IEEE Access, 2019, vol. 7, p. 91435–91445. DOI: 10.1109/ACCESS.2019.2927005
  17. PARK, S. H., SONG, T. L., OH, R., et al. A new IMM interacting approach for unequal dimension states for multitarget tracking in cluttered environments. In International Conference on Control, Automation and Information Sciences (ICCAIS). Xi’an (China), 2021, p. 28–33. DOI: 10.1109/ICCAIS52680.2021.9624630
  18. ZEB, N., HAMEED, G., MANZOOR, S., et al. A fixed-lag smoothing interactive multiple model tracking and interception system for maneuvering target. Iranian Journal of Science and Technology, Transactions of Electrical Engineering, 2020, vol. 44, no. 2, p. 605–615. DOI: 10.1007/s40998-019-00259-7
  19. MEMON, S., SON, H., MEMON, K.H., et al. Multi-scan smoothing for tracking maneuvering target trajectory in heavy cluttered environment. IET Radar, Sonar & Navigation, 2017, vol. 11, no. 12, p. 1815–1821. DOI: 10.1049/iet-rsn.2017.0019
  20. DONG, X., CHISCI, L., CAI, Y. An adaptive filter for nonlinear multi-sensor systems with heavy-tailed noise. Sensors, 2020, vol. 20, no. 23, p. 1–24. DOI: 10.3390/s20236757
  21. YANG, X., ZHANG, W.A., YU, L. A bank of decentralized extended information filters for target tracking in event-triggered WSNs. IEEE Transactions on Systems, Man, and Cybernetics: Systems, 2019, vol. 50, no. 9, p. 3281–3289. DOI: 10.1109/TSMC.2018.2883706
  22. DONG, P., JING, Z., LEUNG, H., et al. Variational Bayesian adaptive cubature information filter based on Wishart distribution. IEEE Transactions on Automatic Control, 2017, vol. 62, no. 11, p. 6051–6057. DOI: 10.1109/TAC.2017.2704442
  23. XU, W., XIAO, J., XU, D., et al. An adaptive IMM algorithm for a PD radar with improved maneuvering target tracking performance. Remote Sensing, 2024, vol.16, no.6, p.1–23.DOI:10.3390/rs16061051
  24. LU, C., FENG, W., LI, W., et al. An adaptive IMM filter for jump Markov systems with inaccurate noise covariances in the presence of missing measurements. Digital Signal Processing, 2022, vol. 127, p. 1–17. DOI: 10.1016/j.dsp.2022.103529
  25. HADAGH, M., KHALOOZADEH, H. Modified switched IMM estimator based on autoregressive extended Viterbi method for maneuvering target tracking. Journal of Systems Engineering and Electronics, 2018, vol. 29, no. 6, p. 1142–1157. DOI: 10.21629/JSEE.2018.06.04
  26. DE SOUZA, M. L., GUIMARÃES, A. G., PINTO, E. L. A novel algorithm for tracking a maneuvering target in clutter. Digital Signal Processing, 2022, vol.126, p.1–10.DOI:10.1016/j.dsp.2022.103481

Keywords: ATPM, data association, smoothing, false-track discrimination, parallel cubature information filter

Z. R. Hong, Q. F. Lu, G. Q. Bao [references] [full-text] [DOI: 10.13164/re.2026.0041] [Download Citations]
Enhanced Recognition of Naval Ship HRRP Targets Using Improved Adaptive Threshold Wavelet Denoising

To address the challenges of noise interference and low signal-to-noise ratio (SNR) in measured one-dimensional ship range profile data, which significantly affect target recognition, a new method is proposed. An improved adaptive threshold wavelet denoising (IATWD) method is introduced. Initially, the two critical parameters of wavelet denoising (WD)—namely, the threshold and threshold functions (TFs)—are optimized. For threshold optimization, a formula related to the number of decomposition levels, the noise standard deviations per level, and the signal length is developed. As decomposition levels change, an optimal threshold can be adaptively determined for each level. Regarding threshold function (TF) improvement, an enhanced TF is designed that flexibly adjusts based on the benefits of both soft and hard TFs. Subsequently, by analyzing the interactions between the variable factors, wavelet base functions, and decomposition levels, optimal parameters for this denoising method are selected. Finally, the efficacy of the denoising and its impact on recognition were validated using denoising evaluation metrics and a Support Vector Machine (SVM) for both simulated and empirical data. Experimental results with both data types demonstrate that the IATWD method significantly outperforms both traditional WD and comparative improved methods in terms of denoising effectiveness and recognition rates.

  1. WU, L., HU, S., XU, J., et al. Ship HRRP target recognition against decoy jamming based on CNN-BiLSTM-SE model. IET Radar, Sonar and Navigation, 2024, vol. 18, no. 2, p. 361–378. DOI: 10.1049/rsn2.12507
  2. ZHANG, L., HAN, C., WANG, Y., et al. Polarimetric HRRP recognition based on feature-guided Transformer model. Electronics Letters, 2021, vol. 57, no. 18, p. 705–707. DOI: 10.1049/ell2.12225
  3. AI, X., QIU, M., HU, Y., et al. Instantaneous length estimation of ships through wideband composite bistatic radar (in Chinese). Journal of Electronics and Information Technology, 2024, vol. 46, no. 3, p. 944–951. DOI: 10.11999/JEIT230088
  4. YANG, Y., YANG, B. Overview of radar detection methods for low altitude targets in marine environments. Journal of Systems Engineering and Electronics, 2024, vol. 35, no. 1, p. 1–13. DOI: 10.23919/JSEE.2024.000026
  5. LEE, P., THEOTOKATOS, G., BOULOUGOURIS, E. Robust decision-making for the reactive collision avoidance of autonomous ships against various perception sensor noise levels. Journal of Marine Science and Engineering, 2024, vol. 12, no. 4, p. 1–33. DOI: 10.3390/jmse12040557
  6. ZHANG, Q., SONG, C., YUAN, Y. Fault diagnosis of vehicle gearboxes based on adaptive wavelet threshold and LT-PCANGOSVM. Applied Sciences, 2024, vol. 14, no. 3, p. 1–26. DOI: 10.3390/app14031212
  7. CHEN, Z. Signal recognition for English speech translation based on improved wavelet denoising method. Advances in Mathematical Physics, 2021, vol. 2021, no. 1, p. 1–9. DOI: 10.1155/2021/6811192
  8. ZHOU, Y., LI, J., YAN, H., et al. Low-frequency ultrasound thoracic signal processing based on MUSIC algorithm and EMD wavelet thresholding. IEEE Access, 2023, vol. 11, p. 73912 to 73921. DOI: 10.1109/ACCESS.2023.3296465
  9. HUSSAIN, N., HASANZADE, M., BREIBY, D., et al. Performance comparison of wavelet families for noise reduction and intensity thresholding in Fourier Ptychographic microscopy. Optics Communications, 2022, vol. 519, p. 1–10. DOI: 10.1016/j.optcom.2022.128400
  10. HE, C., SHI, H., SI, J., et al. Physics-informed interpretable wavelet weight initialization and balanced dynamic adaptive threshold for intelligent fault diagnosis of rolling bearings. Journal of Manufacturing Systems, 2023, vol. 70, p. 579–592. DOI: 10.1016/j.jmsy.2023.08.014
  11. MA, J., LI, H., TANG, B., et al. Rolling bearing fault diagnosis based on improved VMD-adaptive wavelet threshold joint noise reduction. Advances in Mechanical Engineering, 2022, vol. 14, no. 10, p. 1–16. DOI: 10.1177/16878132221128397
  12. GENG, Z., YUAN, K., MA, B., et al. Rolling bearing fault diagnosis based on ICEEMDAN-WTATD-DaSqueezeNet. In 2023 IEEE 12th Data Driven Control and Learning Systems Conference (DDCLS). Xiangtan (China), 2023, p. 1510–1515. DOI: 10.1109/DDCLS58216.2023.10166891
  13. ZHOU, X., KAN, Z., MENG, H., et al. Research on trenching data correction method based on wavelet denoising-Kalman filtering algorithm. Arabian Journal for Science and Engineering, 2023, vol. 48, no. 2, p. 1097–1117. DOI: 10.1007/s13369-022-06729-1
  14. SHENG, Z., TAO, M., YUE, L. Reduction of seismic random noise in mountainous metallic mines based on adaptive threshold RCSST (in Chinese). Chinese Journal of Geophysics, 2019, vol. 62, no. 10, p. 4020–4027. DOI: 10.6038/cjg2019M0441
  15. LIU, J., GU, Y., CHOU, Y., et al. Seismic random noise reduction using adaptive threshold combined scale and directional characteristics of shearlet transform. IEEE Geoscience and Remote Sensing Letters, 2019, vol. 17, no. 9, p. 1637–1641. DOI: 10.1109/LGRS.2019.2949806
  16. LI, L., LI, M., ZHANG, Q. Noise reduction algorithm of electric arc furnace sound signal based on CEEMDAN-improved wavelet threshold (in Chinese). Journal of Qufu Normal University (Natural Science Edition), 2025, vol. 51, no. 1, p. 81–86. DOI: 10.3969/j.issn.1001-5337.2025.1.081
  17. LU, W., YE, C. L., ZHAO, C. Y., et al. Leakage identification for mineral air supply pipeline system based on joint noise reduction and ELM. Measurement, 2023, vol. 219, p. 1–18. DOI: 10.1016/j.measurement.2023.113304
  18. WU, F., MA, C., CHENG, K. Study on wavelet denoising method of vibration signal based on improved threshold (in Chinese). Journal of Hefei University of Technology (Natural Science), 2022, vol. 45, p. 873–877. DOI: 10.3969/j.issn.10035060.2022.07.002
  19. HUANG, X., ZHANG, X., XIE, X., et al. Noise reduction and characteristic analysis of fluid signal in the jet impact-negative pressure deamination reactor based on wavelet transform. Asia Pacific Journal of Chemical Engineering, 2024, vol. 19, no. 1, p. 1–15. DOI: 10.1002/apj.3001
  20. DAUBECHIES, I. Ten Lectures on Wavelets. PA (USA): Society for Industrial and Applied Mathematics, 1992. ISBN: 9780898712742. DOI: 10.1137/1.9781611970104
  21. BAI, J., CHEN, W., CAI, T. Compensation for MEMS gyroscope zero bias stability. In 2013 Chinese Automation Congress (CAC 2013). Changsha (China), 2013, p. 744–748. DOI: 10.1109/CAC.2013.6775833
  22. ZHU, J., FU, Z., LI, K., et al. Chromatography denoising with improved wavelet thresholding based on modified genetic particle swarm optimization. Electronics, 2023, vol. 12, no. 10, p. 1–18. DOI: 10.3390/electronics12204249
  23. KWON, J. H., NGUYEN, N. T., TRAN, M. T., et al. Robust detection of ductile fracture by acoustic emission data-driven unsupervised learning. International Journal of Mechanical Sciences, 2024, vol. 277, p. 1–19. DOI: 10.1016/j.ijmecsci.2024.109420
  24. HAN, G., XU, Z. Electrocardiogram signal denoising based on a new improved wavelet thresholding. Review of Scientific Instruments, 2016, vol. 87, no. 8, p. 084303-1–084303-6. DOI: 10.1063/1.4960411
  25. HOU, Y., QIAN, S. R., LI, X. M., et al. Application of vibration data mining and deep neural networks in bridge damage identification. Electronics, 2023, vol. 12, no. 17, p. 1–17. DOI: 10.3390/electronics12173613
  26. OUYANG, C., CAI, L., LIU B., et al. An improved wavelet threshold denoising approach for surface electromyography signal. EURASIP Journal on Advances in Signal Processing, 2023, vol. 108, no. 1, p. 1–24. DOI: 10.1186/s13634-023-01066-3
  27. SUN, Z., LU, J. An ultrasonic signal denoising method for EMU wheel trackside fault diagnosis system based on improved threshold function. IEEE Access, 2021, vol. 9, p. 96244–96256. DOI: 10.1109/ACCESS.2021.3093482
  28. HOU, J., LI, S., YANG, L., et al. Multi-leakage source localization of safety valve based on improved KDE algorithm. Process Safety and Environmental Protection, 2023, vol. 171, p. 493–506. DOI: 10.1016/j.psep.2023.01.027
  29. LIU, X., BIAN, S. F., DI, G. J., et al. The improved wavelet filtering algorithm based on Stein’s unbiased risk estimation. Science of Surveying and Mapping, 2024, vol. 49, no. 12, p. 158 to 166. ISSN: 1009-2307
  30. HAO, Y. S., YE, Y. S., DENG, Z. M., et al. FEKO sparse micro Doppler modeling and CS reconstruction method. Editorial Office of Optics and Precision Engineering, 2016, vol. 24, no. 6, p. 1482 to 1489. DOI: 10.3788/OPE.20162406.1482
  31. MALLAT, S. A Wavelet Tour of Signal Processing: The Sparse Way. 3rd ed. Florida (United States): Academic Press, Inc., 2008. DOI: 10.1016/B978-0-12-374370-1.X0001-8
  32. DU, L., HUA, H., LE, Z., et al. Noise robust radar HRRP target recognition based on scatterer matching algorithm. IEEE Sensors Journal, 2015, vol. 16, no. 6 p. 1743–1753. DOI: 10.1109/JSEN.2015.2501850
  33. MOORE, R., EZEKIEL, S., BLASCH, E. Denoising one dimensional signals with curvelets and contourlets. In 2014 - IEEE National Aerospace and Electronics Conference (NAECON 2014). Dayton (OH, USA), 2014, p. 189–194. DOI: 10.1109/NAECON.2014.7045801
  34. GAO, Z., WANG, Y. Assessing 3D holographic reconstruction quality through the mean local peak signal-to-noise ratio metric. In 2024 5th International Conference on Computer Engineering and Application (ICCEA 2024). Hangzhou (China), 2024, p. 675–678. DOI: 10.1109/ICCEA62105.2024.10603571

Keywords: High resolution range profiles, classification recognition, adaptive threshold, improved threshold functions, wavelet denoising