RESEARCH PAPER
A signal structure priori enhanced deep compressed sensing method for vibration signals and an improved reconstruction evaluation method in the PHM framework
More details
Hide details
1
The Center for Robotics, School of Control Science and Engineering, Shandong University, China
2
The Engineering Research Center of Intelligent Unmanned System, Ministry of Education, China
3
School of Mechanical, Electrical and Information Engineering, Shandong University, China
Submission date: 2025-08-03
Final revision date: 2025-09-19
Acceptance date: 2025-12-21
Online publication date: 2025-12-26
Publication date: 2025-12-26
Corresponding author
Xincheng Tian
The Center for Robotics, School of Control Science and Engineering, Shandong University, China
HIGHLIGHTS
- A deep compressed sensing method with the locality/globality and the structure prior.
- The output layer weights are initialized by the data structure information.
- Subsequent PHM tasks accuracy is considered to better evaluate the PHM tasks fitness.
- The method has superior adaptability in the PHM framework.
KEYWORDS
TOPICS
ABSTRACT
The compressed sensing (CS) methods have two issues when processing vibration signals of rotating machinery: (1) the data-driven method and signal priors (e.g., global/local and structure priors) are not combined well, resulting in the reconstruction not converging to high-precision results; (2) the current metrics only focus on numerical accuracy and do not consider PHM scene fitness. We propose a deep compressed sensing framework (RMVS-DCS): (1) Global-Local Feature Reconstruction (GLFR) blocks alternately reconstruct features at global and local scales. Pre-train the output layer by dictionary learning, introducing the signal structure prior to guiding the model to converge to a better one. (2) A dual evaluation system, combining the numerical indicators and prognostics and health management (PHM) task accuracy, helps the model selection in PHM scenarios. On the rotor unbalance data set, its reconstruction and prediction error are reduced by 82.60% and 89.90% (compression ratio is 0.5), demonstrating the advanced reconstruction precision and PHM compatibility of the framework.
REFERENCES (46)
1.
Liu Y, Huang J, Jia M. Knowledge Distillation‐Based Zero‐Shot Learning for Process Fault Diagnosis. Advanced Intelligent Systems. 2025;7(6):2400828,
https://doi.org/10.1002/aisy.2....
2.
Russell M, Wang P. Physics-informed deep learning for signal compression and reconstruction of big data in industrial condition monitoring. Mechanical Systems and Signal Processing. 2022;168:108709,
https://doi.org/10.1016/j.ymss....
3.
Cui L, Tian X, Shi X, Wang X, Cui Y. A Semi-Supervised Fault Diagnosis Method Based on Improved Bidirectional Generative Adversarial Network. Applied Sciences. 2021;11(20),
https://doi.org/10.3390/app112....
4.
Wang Z, Liang P, Bai R, Liu Y, Zhao J, Yao L, et al. Few-shot fault diagnosis for machinery using multi-scale perception multi-level feature fusion image quadrant entropy. Advanced Engineering Informatics. 2025;63:102972,
https://doi.org/10.1016/j.aei.....
5.
Shu X, Zhang S, Li Y, Chen M. An anomaly detection method based on random convolutional kernel and isolation forest for equipment state monitoring. Eksploatacja i Niezawodność – Maintenance and Reliability. 2022;24(4):758-70,
https://doi.org/10.17531/ein.2....
6.
Zhang T, Wang H. Explainable remaining useful life uncertainty prediction method for rolling bearing. Engineering Applications of Artificial Intelligence. 2025;161:112114,
https://doi.org/10.1016/j.enga....
7.
Lei X, Lu N, Jiang B, Wang C, Chen C. A Multi-scale Attention Mechanism Diagnosis Method with Adaptive Online Updating Based on Deep Learning under Variable Working Conditions. Eksploatacja i Niezawodność – Maintenance and Reliability. 2025;27(1),
https://doi.org/10.17531/ein/1....
8.
Zhu J, Li O, Chen M, Hu B, Ma E. Rolling bearing fault diagnosis method based on adaptive signal diagnosis network and its application. Eksploatacja i Niezawodność – Maintenance and Reliability. 2025;27(2),
https://doi.org/10.17531/ein/1....
9.
Deng L, Lin H, Liu Z, Wang H. Compressed feature reconstruction for localized fault diagnosis with generalized minimax-concave penalty. Measurement. 2022;200,
https://doi.org/10.1016/j.meas....
10.
Han P, Huang Z, Li W, He W, Cao Y. Multi-sensor bearing fault diagnosis based on evidential neural network with sensor weights and reliability. Expert Systems with Applications. 2025;269:126533,
https://doi.org/10.1016/j.eswa....
11.
Wang Z, Liu Y, Bai R, Chen H, Li J, Chen X, et al. Multi-modal multi-scale multi-level fusion quadrant entropy for mechanical fault diagnosis. Expert Systems with Applications. 2025;281:127715,
https://doi.org/10.1016/j.eswa....
12.
Tao L, Liu H, Ning G, Cao W, Huang B, Lu C. LLM-based framework for bearing fault diagnosis. Mechanical Systems and Signal Processing. 2025;224:112127,
https://doi.org/10.1016/j.ymss....
14.
Xiao C, Tang H, editors. Adaptive compressive sensing method based on optimal classification for bearing vibration signals in axial piston pump. 2019 International Conference on Sensing, Diagnostics, Prognostics, and Control (SDPC); 2019: IEEE,
https://doi.org/10.1109/SDPC.2....
16.
Grzonka J, Marqueses-Rodríguez J, Fernández-García S, Chen X, Calvino JJ, López-Haro M. Combining Deep Learning and Compressed Sensing Methods for the 3D Characterization of Ultra‐Thin Epitaxial Layers Grown on Controlled‐Shape Nano‐Oxides. Advanced Intelligent Systems. 2023;5(3):2200231,
https://doi.org/10.1002/aisy.2....
17.
Yu Y, Jiang S, Timmerman R, Peng H. Leveraging Compressed Sensing and Radiomics for Robust Feature Selection for Outcome Prediction in Personalized Ultra‐Fractionated Stereotactic Adaptive Radiotherapy. Advanced Intelligent Systems. 2025:2500116,
https://doi.org/10.1002/aisy.2....
18.
Wang C, Zhang Y, Sun L, Han J, Chao L, Yan L. Improved sparsity adaptive matching pursuit algorithm based on compressed sensing. Displays. 2023;77:102396,
https://doi.org/10.1016/j.disp....
19.
Wei J, Mao S, Dai J, Wang Z, Huang W, Yu Y. A faster and more accurate iterative threshold algorithm for signal reconstruction in compressed sensing. Sensors. 2022;22(11):4218,
https://doi.org/10.3390/s22114....
20.
Lin A, Song AH, Bilgic B, Ba D. Covariance-Free Sparse Bayesian Learning. IEEE Transactions on Signal Processing. 2022;70:3818-31,
https://doi.org/10.1109/TSP.20....
21.
Bora A, Jalal A, Price E, Dimakis AG. Compressed Sensing using Generative Models. In: Doina P, Yee Whye T, editors. Proceedings of the 34th International Conference on Machine Learning; Proceedings of Machine Learning Research: PMLR; 2017. p. 537--46,
https://doi.org/10.48550/arXiv....
22.
Wu Y, Rosca M, Lillicrap T. Deep Compressed Sensing. In: Kamalika C, Ruslan S, editors. Proceedings of the 36th International Conference on Machine Learning; Proceedings of Machine Learning Research: PMLR; 2019. p. 6850--60,
https://doi.org/10.48550/arXiv....
23.
Kulkarni K, Lohit S, Turaga P, Kerviche R, Ashok A, editors. Reconnet: Non-iterative reconstruction of images from compressively sensed measurements. Proceedings of the IEEE conference on computer vision and pattern recognition; 2016,
https://doi.org/10.48550/arXiv....
24.
Zhang J, Ghanem B, editors. ISTA-Net: Interpretable optimization-inspired deep network for image compressive sensing. Proceedings of the IEEE conference on computer vision and pattern recognition; 2018,
https://doi.org/10.48550/arXiv....
25.
Cui S, Dai J, Zhao S, Luo H. ISTOF-Net: An ISTA-Based Deep Unfolding Network With Optimized Feature Aggregation Architecture for Image Compressed Sensing. IEEE Sensors Journal. 2025;25(15):29271-83,
https://doi.org/10.1109/JSEN.2....
26.
Hu ZX, Wang Y, Ge MF, Liu J. Data-Driven Fault Diagnosis Method Based on Compressed Sensing and Improved Multiscale Network. IEEE Transactions on Industrial Electronics. 2020;67(4):3216-25,
https://doi.org/10.1109/TIE.20....
27.
Shao H, Jiang H, Zhang H, Duan W, Liang T, Wu S. Rolling bearing fault feature learning using improved convolutional deep belief network with compressed sensing. Mechanical Systems and Signal Processing. 2018;100:743-65,
https://doi.org/10.1016/j.ymss....
28.
Yuan H, Lu C. Rolling bearing fault diagnosis under fluctuant conditions based on compressed sensing. Structural Control and Health Monitoring. 2017;24(5),
https://doi.org/10.1002/stc.19....
29.
Guo W, Tse PW. A novel signal compression method based on optimal ensemble empirical mode decomposition for bearing vibration signals. Journal of Sound and Vibration. 2013;332(2):423-41,
https://doi.org/10.1016/j.jsv.....
30.
Li X, Bossmann F, Ma J. Optimal Compressed Sensing Reconstruction for Vibration Monitor Data Using Deep Learning. IEEE Transactions on Instrumentation and Measurement. 2025;74:1-14,
https://doi.org/10.1109/TIM.20....
31.
Sun J, Yu Y, Wen J. Compressed-Sensing Reconstruction Based on Block Sparse Bayesian Learning in Bearing-Condition Monitoring. Sensors. 2017;17(6):1454,
https://doi.org/10.3390/s17061....
32.
Pan Z, Meng Z, Zhang Y, Zhang G, Pang X. High-precision bearing signal recovery based on signal fusion and variable stepsize forward-backward pursuit. Mechanical Systems and Signal Processing. 2021;157:107647,
https://doi.org/10.1016/j.ymss....
33.
Wang Q, Meng C, Ma WN, Wang C, Yu L. Compressive sensing reconstruction for vibration signals based on the improved fast iterative shrinkage-thresholding algorithm. Measurement. 2019;142:68-78,
https://doi.org/10.1016/j.meas....
34.
Wang H, Yang S, Liu Y, Li Q. Compressive sensing reconstruction for rolling bearing vibration signal based on improved iterative soft thresholding algorithm. Measurement. 2023;210,
https://doi.org/10.1016/j.meas....
35.
Zhang M, Zhang H, Yuan D, Zhang M. Learning-Based Sparse Data Reconstruction for Compressed Data Aggregation in IoT Networks. IEEE Internet of Things Journal. 2021;8(14):11732-42,
https://doi.org/10.1109/JIOT.2....
36.
Baraniuk R, Davenport M, DeVore R, Wakin M. A simple proof of the restricted isometry property for random matrices. Constructive approximation. 2008;28:253-63,
https://doi.org/10.1007/s00365....
37.
Ma Y, Jia X, Bai H, Liu G, Wang G, Guo C, et al. A new fault diagnosis method based on convolutional neural network and compressive sensing. Journal of Mechanical Science and Technology. 2019;33(11):5177-88,
https://doi.org/10.1007/s12206....
38.
Vaswani A, Shazeer N, Parmar N, Uszkoreit J, Jones L, Gomez AN, et al. Attention Is All You Need. Advances in Neural Information Processing Systems 30 (Nips 2017). 2017;30,
https://doi.org/10.48550/arXiv....
39.
Dosovitskiy A, Beyer L, Kolesnikov A, Weissenborn D, Zhai X, Unterthiner T, et al. An image is worth 16x16 words: Transformers for image recognition at scale. arXiv preprint arXiv:201011929. 2020,
https://doi.org/10.48550/arXiv....
41.
Xu J, Ding X, Gong Y, Wu N, Yan H. Rotor imbalance detection and quantification in wind turbines via vibration analysis. Wind Engineering. 2022;46(1):3-11,
https://doi.org/10.1177/030952....
42.
Tropp JA, Gilbert AC. Signal Recovery From Random Measurements Via Orthogonal Matching Pursuit. IEEE Transactions on Information Theory. 2007;53(12):4655-66,
https://doi.org/10.1109/TIT.20....
43.
Beck A, Teboulle M. A fast iterative shrinkage-thresholding algorithm for linear inverse problems. SIAM journal on imaging sciences. 2009;2(1):183-202,
https://doi.org/10.1137/080716....
44.
Wang Z, Zhang M, Chen H, Li J, Li G, Zhao J, et al. A generalized fault diagnosis framework for rotating machinery based on phase entropy. Reliability Engineering & System Safety. 2025;256:110745,
https://doi.org/10.1016/j.ress....
45.
Su H, Xiang L, Hu A, Xu Y, Yang X. A novel method based on meta-learning for bearing fault diagnosis with small sample learning under different working conditions. Mechanical Systems and Signal Processing. 2022;169,
https://doi.org/10.1016/j.ymss....
46.
Liu J, Zhang C, Jiang X. Imbalanced fault diagnosis of rolling bearing using improved MsR-GAN and feature enhancement-driven CapsNet. Mechanical Systems and Signal Processing. 2022;168,
https://doi.org/10.1016/j.ymss....