Typical Sparsity Measures

版本 1.0.1 (3.7 KB) 作者: Chen Bingyan
An introduction of typical sparsity measures (traditional and newly developed) with numerical examples
136.0 次下载
更新时间 2023/11/12

查看许可证

Sparsity measures are effective indicators for quantifying the sparsity of data sequences. They are often used for fault feature characterization in condition monitoring and fault diagnosis of rotating machinery. This function file and Demo script file provide the code and corresponding numerical examples of traditional and recently developed typical sparsity measures, including kurtosis (Kurt), negentropy (NE), D-norm (DN), ratio of 2-norm to 1-norm (L2/L1), Gini index (GI), modified smoothness index (MSI), Gini index 2 (GI2), Gini index 3 (GI3), generalized Gini index (GGI), fully generalized Gini index (FGGI), and power function-based Gini indices 1,2 and 3 (PFGI1, PFGI2 and PFGI3). It is hoped that these results will help to understand sparsity measures. The relevant references are as follows:
[1] B. Chen, D. Song, F. Gu, W. Zhang, Y. Cheng, A.D. Ball, A. Bevan, J. Xi Gu, A full generalization of the Gini index for bearing condition monitoring, Mech. Syst. Signal Process. 188 (2023) 109998. https://doi.org/10.1016/j.ymssp.2022.109998.
[2] B. Chen, F. Gu, W. Zhang, D. Song, Y. Cheng, Z. Zhou, Power function-based Gini indices: New sparsity measures using power for bearing condition monitoring, Struct. Heal. Monit. (2023). https://doi.org/10.1177/14759217221149745.
[3] B. Chen, D. Song, Y. Cheng, W. Zhang, B. Huang, Y. Muhamedsalih, IGIgram: An Improved Gini Index-Based Envelope Analysis for Rolling Bearing Fault Diagnosis, J. Dyn. Monit. Diagnostics. 1 (2022) 111–124. https://doi.org/10.37965/jdmd.2022.65.
[4] B. Chen, Y. Cheng, W. Zhang, F. Gu, Investigations on improved Gini indices for bearing fault feature characterization and condition monitoring, Mech. Syst. Signal Process. 176 (2022) 109165. https://doi.org/10.1016/j.ymssp.2022.109165.

引用格式

Chen Bingyan (2024). Typical Sparsity Measures (https://www.mathworks.com/matlabcentral/fileexchange/127054-typical-sparsity-measures), MATLAB Central File Exchange. 检索来源 .

Chen, Bingyan, et al. “A Full Generalization of the Gini Index for Bearing Condition Monitoring.” Mechanical Systems and Signal Processing, vol. 188, Elsevier BV, Apr. 2023, p. 109998, doi:10.1016/j.ymssp.2022.109998.

查看更多格式

Chen, Bingyan, et al. “Power Function-Based Gini Indices: New Sparsity Measures Using Power Function-Based Quasi-Arithmetic Means for Bearing Condition Monitoring.” Structural Health Monitoring, SAGE Publications, Mar. 2023, p. 147592172211497, doi:10.1177/14759217221149745.

查看更多格式

Chen, Bingyan, et al. “IGIgram: An Improved Gini Index-Based Envelope Analysis for Rolling Bearing Fault Diagnosis.” Journal of Dynamics, Monitoring and Diagnostics, Intelligence Science and Technology Press Inc., June 2022, pp. 111–24, doi:10.37965/jdmd.2022.65.

查看更多格式

Chen, Bingyan, et al. “Investigations on Improved Gini Indices for Bearing Fault Feature Characterization and Condition Monitoring.” Mechanical Systems and Signal Processing, vol. 176, Elsevier BV, Aug. 2022, p. 109165, doi:10.1016/j.ymssp.2022.109165.

查看更多格式
MATLAB 版本兼容性
创建方式 R2017b
兼容任何版本
平台兼容性
Windows macOS Linux

Community Treasure Hunt

Find the treasures in MATLAB Central and discover how the community can help you!

Start Hunting!
版本 已发布 发行说明
1.0.1

Update description.

1.0.0