Effectiveness and Limitations of Preprocessing Methods for Proprioceptive Sensor Noise in Quadruped Robots

Authors

  • Mui D. Nguyen Thai Nguyen University of Technology
  • Minh T. Nguyen Thai Nguyen University of Technology
  • Ha T. Nguyen Thai Nguyen University
  • Binh TT. Nguyen Thai Nguyen University
  • Long Q. Dinh Thai Nguyen University of Information and Communication Technology
  • Dung T. Nguyen Thai Nguyen University of Information and Communication Technology
  • Thang C. Vu Thai Nguyen University of Information and Communication Technology
  • Duc M. Ngo Thai Nguyen University of Technology

DOI:

https://doi.org/10.62411/jcta.15921

Keywords:

Encoder signal processing, IMU noise analysis, Quadruped robots, Sensor data preprocessing, Signal-to-noise ratio, State estimation, Sustainable robotics, Torque sensor analysis

Abstract

Proprioceptive sensor data, including inertial measurement units (IMU), joint encoders, and torque sensors, plays a critical role in state estimation for quadruped robots operating in dynamic and unstructured environments. However, these signals are often degraded by various sources of error, such as high-frequency noise, bias, drift, and contact-induced disturbances, which directly affect estimation accuracy and stability. This study presents a systematic analysis of sensor-specific noise characteristics and evaluates the effectiveness of preprocessing methods tailored to each sensor modality. Specifically, moving average filtering is applied to encoder signals to mitigate noise amplification during differentiation, while first-order low-pass filtering is employed for IMU and torque signals to suppress high-frequency noise. Experimental results on a publicly available quadruped dataset demonstrate that encoder velocity RMSE is reduced by 12.09%, high-frequency energy decreases by 59.63%, and signal-to-noise ratio (SNR) improves by 145.6%. However, variance reductions remain limited (3.39% for IMU and 4.05% for torque), indicating the persistence of impulsive, non-Gaussian noise caused by contact events. These findings highlight that linear preprocessing methods are effective for attenuating high-frequency noise but insufficient for handling non-Gaussian disturbances. The study provides practical insights into the effectiveness and limitations of preprocessing strategies, serving as a foundation for developing more robust signal processing and state estimation frameworks in quadruped robotics.

Author Biographies

Mui D. Nguyen, Thai Nguyen University of Technology

Thai Nguyen University of Technology, Thai Nguyen University, Thai Nguyen 24000, Viet Nam

Minh T. Nguyen, Thai Nguyen University of Technology

Assoc. Prof. Dr. Minh T. Nguyen is currently the director of the International Training and Cooperation Center at Thai Nguyen University of Technology, Vietnam, and also the director of the Advanced Wireless Communication Networks (AWCN) lab. He has an interest and expertise in a variety of research topics in the communications, networking, and signal processing areas, especially compressive sensing, and wireless/mobile sensor networks. He serves as a technical reviewer for several prestigious journals and international conferences. He also serves as an editor for the wireless communication and mobile computing journal and as editor-in-chief for ICSES transactions on computer networks and communications. He is on Stanford's 2023 list of World Top 2% scientists. He can be contacted at email: nguyentuanminh@tnut.edu.vn.

Ha T. Nguyen, Thai Nguyen University

Thai Nguyen University, Thai Nguyen 24000, Viet Nam

Binh TT. Nguyen, Thai Nguyen University

Thai Nguyen University, Thai Nguyen 24000, Viet Nam

Long Q. Dinh, Thai Nguyen University of Information and Communication Technology

Thai Nguyen University of Information and Communication Technology, Thai Nguyen 24000, Viet Nam

Dung T. Nguyen, Thai Nguyen University of Information and Communication Technology

Thai Nguyen University of Information and Communication Technology, Thai Nguyen 24000, Viet Nam

Thang C. Vu, Thai Nguyen University of Information and Communication Technology

Thai Nguyen University of Information and Communication Technology, Thai Nguyen 24000, Viet Nam

Duc M. Ngo, Thai Nguyen University of Technology

Thai Nguyen University of Technology, Thai Nguyen University, Thai Nguyen 24000, Viet Nam

References

A. Hamrani, M. M. Rayhan, T. Mackenson, D. McDaniel, and L. Lagos, “Smart quadruped robotics: a systematic review of design, control, sensing and perception,” Adv. Robot., vol. 39, no. 1, pp. 3–29, Jan. 2025, doi: 10.1080/01691864.2024.2411684.

Y. Fan, Z. Pei, C. Wang, M. Li, Z. Tang, and Q. Liu, “A Review of Quadruped Robots: Structure, Control, and Autonomous Motion,” Adv. Intell. Syst., vol. 6, no. 6, Jun. 2024, doi: 10.1002/aisy.202300783.

C. D. Bellicoso et al., “Advances in real‐world applications for legged robots,” J. F. Robot., vol. 35, no. 8, pp. 1311–1326, Dec. 2018, doi: 10.1002/rob.21839.

A. Majithia et al., “Design, motions, capabilities, and applications of quadruped robots: a comprehensive review,” Front. Mech. Eng., vol. 10, Aug. 2024, doi: 10.3389/fmech.2024.1448681.

M. V. Minniti, R. Grandia, F. Farshidian, and M. Hutter, “Adaptive CLF-MPC With Application to Quadrupedal Robots,” IEEE Robot. Autom. Lett., vol. 7, no. 1, pp. 565–572, Jan. 2022, doi: 10.1109/LRA.2021.3128697.

W. Li, Y. Liao, X. Xiong, C. Li, and Y. Lou, “Hybrid Real-Time State Estimation for Quadruped Robots With Proprioceptive Sensors,” IEEE Trans. Ind. Electron., vol. 73, no. 2, pp. 2656–2667, Feb. 2026, doi: 10.1109/TIE.2025.3607996.

P. Ghorai, A. Eskandarian, Y.-K. Kim, and G. Mehr, “State Estimation and Motion Prediction of Vehicles and Vulnerable Road Users for Cooperative Autonomous Driving: A Survey,” IEEE Trans. Intell. Transp. Syst., vol. 23, no. 10, pp. 16983–17002, Oct. 2022, doi: 10.1109/TITS.2022.3160932.

H. Belaidi and F. Demim, “NURBs Based Multi-robots Path Planning with Obstacle Avoidance,” J. Comput. Theor. Appl., vol. 1, no. 4, pp. 478–491, May 2024, doi: 10.62411/jcta.10387.

T.-Y. Lin, T. Li, W. Tong, and M. Ghaffari, “Proprioceptive Invariant Robot State Estimation,” arXiv. Feb. 20, 2024. doi: 10.48550/arXiv.

G. Fink and C. Semini, “Proprioceptive Sensor Fusion for Quadruped Robot State Estimation,” in 2020 IEEE/RSJ International Conference on Intelligent Robots and Systems (IROS), Oct. 2020, pp. 10914–10920. doi: 10.1109/IROS45743.2020.9341521.

M. Camurri et al., “Probabilistic Contact Estimation and Impact Detection for State Estimation of Quadruped Robots,” IEEE Robot. Autom. Lett., vol. 2, no. 2, pp. 1023–1030, Apr. 2017, doi: 10.1109/LRA.2017.2652491.

R. Hartley, M. G. Jadidi, L. Gan, J.-K. Huang, J. W. Grizzle, and R. M. Eustice, “Hybrid Contact Preintegration for Visual-Inertial-Contact State Estimation Using Factor Graphs,” in 2018 IEEE/RSJ International Conference on Intelligent Robots and Systems (IROS), Oct. 2018, pp. 3783–3790. doi: 10.1109/IROS.2018.8593801.

T.-Y. Lin, R. Zhang, J. Yu, and M. Ghaffari, “Legged Robot State Estimation using Invariant Kalman Filtering and Learned Contact Events,” arXiv. Nov. 29, 2021. [Online]. Available: http://arxiv.org/abs/2106.15713

Y. Nisticò, J. C. V. Soares, L. Amatucci, G. Fink, and C. Semini, “MUSE: A Real-Time Multi-Sensor State Estimator for Quadruped Robots,” IEEE Robot. Autom. Lett., vol. 10, no. 5, pp. 4620–4627, May 2025, doi: 10.1109/LRA.2025.3553047.

L. Q. Dinh, D. T. Nguyen, T. C. Vu, T. V. Nguyen, and M. T. Nguyen, “Comprehensive Review of Security Problems in Mobile Robotic Assistant Systems: Issues, Solutions, and Challenges,” J. Comput. Theor. Appl., vol. 2, no. 2, pp. 182–201, Sep. 2024, doi: 10.62411/jcta.11408.

S. Dasgupta, D. Das, M. Hoque, and I. Bhattacharya, “An Intelligent Route Planning Approach Using Modified Particle Swarm Optimization for Robot Assisted Minimally Invasive Surgery,” J. Comput. Theor. Appl., vol. 2, no. 4, pp. 498–510, Apr. 2025, doi: 10.62411/jcta.12473.

C. Pan, R. Hao, J. Yu, and L. Zhang, “Pose Estimation Algorithm for Quadruped Robots Based on Multi-Sensor Fusion,” in 2024 International Symposium on Intelligent Robotics and Systems (ISoIRS), Jun. 2024, pp. 1–11. doi: 10.1109/ISoIRS63136.2024.00009.

J. He and F. Gao, “Mechanism, Actuation, Perception, and Control of Highly Dynamic Multilegged Robots: A Review,” Chinese J. Mech. Eng., vol. 33, no. 1, p. 79, Dec. 2020, doi: 10.1186/s10033-020-00485-9.

L. Wijayarathne, Z. Zhou, Y. Zhao, and F. L. Hammond, “Real-Time Deformable-Contact-Aware Model Predictive Control for Force-Modulated Manipulation,” IEEE Trans. Robot., vol. 39, no. 5, pp. 3549–3566, Oct. 2023, doi: 10.1109/TRO.2023.3286070.

G. Soter, A. Conn, H. Hauser, and J. Rossiter, “Bodily Aware Soft Robots: Integration of Proprioceptive and Exteroceptive Sensors,” in 2018 IEEE International Conference on Robotics and Automation (ICRA), May 2018, pp. 2448–2453. doi: 10.1109/ICRA.2018.8463169.

J. Kelly and G. S. Sukhatme, “A General Framework for Temporal Calibration of Multiple Proprioceptive and Exteroceptive Sensors,” 2014, pp. 195–209. doi: 10.1007/978-3-642-28572-1_14.

S. Li et al., “Feature-Triggered Short-Term Drift Calibration of IMU Position on Human Lower Limbs Under Random Motions With Convolution–Deconvolution Prediction Models,” IEEE Sens. J., vol. 25, no. 23, pp. 43487–43499, Dec. 2025, doi: 10.1109/JSEN.2025.3621264.

M. D. Nguyen et al., “Fusion of Wheel Encoded Data and RFID Signals using Kalman Filter for Robot Indoor Localization,” J. Futur. Artif. Intell. Technol., vol. 2, no. 3, pp. 328–342, Jul. 2025, doi: 10.62411/faith.3048-3719-126.

M. Wan, D. Liu, J. Wu, L. Li, Z. Peng, and Z. Liu, “State Estimation for Quadruped Robots on Non-Stationary Terrain via Invariant Extended Kalman Filter and Disturbance Observer,” Sensors, vol. 24, no. 22, p. 7290, Nov. 2024, doi: 10.3390/s24227290.

S. Yang, Q. Yang, R. Zhu, Z. Zhang, C. Li, and H. Liu, “State estimation of hydraulic quadruped robots using invariant-EKF and kinematics with neural networks,” Neural Comput. Appl., vol. 36, no. 5, pp. 2231–2244, Feb. 2024, doi: 10.1007/s00521-023-08755-y.

J. Sun, L. Zhou, B. Geng, Y. Zhang, and Y. Li, “Leg State Estimation for Quadruped Robot by Using Probabilistic Model With Proprioceptive Feedback,” IEEE/ASME Trans. Mechatronics, vol. 30, no. 3, pp. 1876–1887, Jun. 2025, doi: 10.1109/TMECH.2024.3421251.

K.-C. Han and J.-Y. Kim, “Posture stabilizing control of quadruped robot based on cart-inverted pendulum model,” Intell. Serv. Robot., vol. 16, no. 5, pp. 521–536, Nov. 2023, doi: 10.1007/s11370-023-00480-8.

G. Fink, “Proprioceptive Sensor Dataset for Quadruped Robots,” IEEE Dataport. IEEE Dataport, 2019. doi: 10.21227/4vxz-xw05.

Downloads

Published

2026-04-28

How to Cite

Nguyen, M. D., Nguyen, M. T., Nguyen, H. T., Nguyen, B. T., Dinh, L. Q., Nguyen, D. T., Vu, T. C., & Ngo, D. M. (2026). Effectiveness and Limitations of Preprocessing Methods for Proprioceptive Sensor Noise in Quadruped Robots. Journal of Computing Theories and Applications, 3(4), 535–546. https://doi.org/10.62411/jcta.15921