This paper originated from an investigation of sparsity indexes for fault diagnosis of rotating machinery. Although various sparsity indexes have been widely applied in machinery fault feature extraction, there is little information on the guideline available for the selection of the best sparsity index for the specified scenarios with different interferences. To solve the problem, this article firstly analyzes the performance of the representative sparsity indexes, containing Gini index, l 2 /l 1 norm, Hoyer measure and kurtosis. Aiming at the feature of the machinery fault signal, three performance attributes, including datalength independency, random-impulse resistance and fault-impulse discernibility, are originally proposed to quantitatively evaluate the sparsity index. Based on the comparison results, a guideline for the selection of the optimal sparsity measure is summarized. After that, this guideline is used for the improvement of kurtogram and protrugram, and the results are evaluated. Finally, the comparison result, using both simulated and experimental bearing fault signals, confirms that an optimal scheme can be designed for the sparsity-based improvement under the proposed guideline.

Yonghao Miao

Ming Zhao

Jiadong Hua

Measurement

邀请对测量和仪器科学与技术各个领域的新成果进行投稿。鼓励作者提交新颖材料，其最终目标是在以下领域取得进步：测量和计量基础、传感器、测量仪器、测量和估计技术、测量数据处理和融合算法、评估程序和工厂方法和工业过程，系统、过程和算法的性能分析，面向测量的数学模型，互联世界中的分布式测量系统。

This journal invites submissions of new findings in all areas of measurement and instrumentation science and technology. We encourage authors to submit innovative materials aimed at advancing progress in the following fields: fundamentals of measurement and metrology, sensors, measuring instruments, measurement and estimation techniques, measurement data processing and fusion algorithms, evaluation procedures and factory methods, performance analysis of industrial processes, mathematical models for measurement, and distributed measurement systems in a connected world.

本期刊欢迎对测量和仪器科学与技术各个领域的新成果进行投稿。我们鼓励作者提交新颖的研究材料，旨在推动以下领域的进步：测量和计量基础、传感器、测量仪器、测量和估计技术、测量数据处理与融合算法、评估程序与工厂方法、工业过程的性能分析、面向测量的数学模型，以及在互联世界中的分布式测量系统。

Measurement: Journal of the International Measurement Confederation

Research on sparsity indexes for fault diagnosis of rotating machinery

Analysis of the performance of the representative sparsity indexes, containing Gini index, l2/l1 norm, Hoyer measure and kurtosis, confirms that an optimal scheme can be designed for the sparsity-based improvement under the proposed guideline.

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Research on sparsity indexes for fault diagnosis of rotating machinery

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