CESMs (cycle-embedded sparsity measures) is a new family of statistical indices based the classic sparsity measures. CESMs are simple but effective for repetitive fault transient quantification, theoretical and numerical studies demonstrated their good properties in weak repetitive fault transient quantification and distinguishing random impulsive noise. CESMs have a very good threshold property that can be utilized to distinguish repetitive fault transients from random impulsive noise.
A CESM is a good optimization objective function for our previous proposed new signal decomposition method named impulsive mode decomposition. CESMs are promising to be applied in other signal processing models to design new methods.
Two relevent works:
[1] Hou B, Wang Y, Wang D. Cycle-embedded sparsity measures as a generalized objective function of impulsive mode decomposition for impulsive fault component extraction [J]. Mechanical Systems and Signal Processing, 2023, 2025: 112566.
[2] Hou B, Xie M, Yan H, Wang D. Impulsive mode decomposition[J]. Mechanical Systems and Signal Processing, 2024, 211:111227.
Please make the proper citations if the codes and works are helpful for you.
Hou, Bingchang, et al. “Cycle-Embedded Sparsity Measures as a Generalized Objective Function of Impulsive Mode Decomposition for Impulsive Fault Component Extraction.” Mechanical Systems and Signal Processing, vol. 231, May 2025, p. 112566, https://doi.org/10.1016/j.ymssp.2025.112566.
Hou, Bingchang, et al. “Cycle-Embedded Sparsity Measures as a Generalized Objective Function of Impulsive Mode Decomposition for Impulsive Fault Component Extraction.” Mechanical Systems and Signal Processing, vol. 231, May 2025, p. 112566, https://doi.org/10.1016/j.ymssp.2025.112566.
APA
Hou, B., Wang, Y., & Wang, D. (2025). Cycle-embedded sparsity measures as a generalized objective function of impulsive mode decomposition for impulsive fault component extraction. Mechanical Systems and Signal Processing, 231, 112566. Elsevier BV. Retrieved from http://dx.doi.org/10.1016/j.ymssp.2025.112566
BibTeX
@article{Hou_2025, title={Cycle-embedded sparsity measures as a generalized objective function of impulsive mode decomposition for impulsive fault component extraction}, volume={231}, ISSN={0888-3270}, url={http://dx.doi.org/10.1016/j.ymssp.2025.112566}, DOI={10.1016/j.ymssp.2025.112566}, journal={Mechanical Systems and Signal Processing}, publisher={Elsevier BV}, author={Hou, Bingchang and Wang, Yu and Wang, Dong}, year={2025}, month=may, pages={112566} }
Hou, Bingchang, et al. “Impulsive Mode Decomposition.” Mechanical Systems and Signal Processing, vol. 211, Apr. 2024, p. 111227, https://doi.org/10.1016/j.ymssp.2024.111227.
Hou, Bingchang, et al. “Impulsive Mode Decomposition.” Mechanical Systems and Signal Processing, vol. 211, Apr. 2024, p. 111227, https://doi.org/10.1016/j.ymssp.2024.111227.
APA
Hou, B., Xie, M., Yan, H., & Wang, D. (2024). Impulsive mode decomposition. Mechanical Systems and Signal Processing, 211, 111227. Elsevier BV. Retrieved from http://dx.doi.org/10.1016/j.ymssp.2024.111227
BibTeX
@article{Hou_2024, title={Impulsive mode decomposition}, volume={211}, ISSN={0888-3270}, url={http://dx.doi.org/10.1016/j.ymssp.2024.111227}, DOI={10.1016/j.ymssp.2024.111227}, journal={Mechanical Systems and Signal Processing}, publisher={Elsevier BV}, author={Hou, Bingchang and Xie, Min and Yan, Hong and Wang, Dong}, year={2024}, month=apr, pages={111227} }
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