Cycle-embedded sparsity measures

CESMs (cycle-embedded sparsity measures), new simple but effective for repetitive fault transient quantification, having good properties.

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.

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