A vibration data recovery method based on an modified sparsity adaptive algorithm

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Journal of Vibration and Shock ›› 2019, Vol. 38 ›› Issue (16) : 261-266.

XIE Xin WANG Huaqing SONG Liuyang LI Jingle HAO Yansong

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Abstract

A data recovery method with compressed sensing (CS) theory was developed for the acquired signal. Since the sparsity of vibration signal is unknown which impedes its application, the sparsity adaptive matching pursuit (SAMP) algorithm was served for the reconstruction. However, the SAMP algorithm is greatly influenced by termination condition, which will lead to unsatisfied results. In this case, a modified SAMP algorithm based on termination criterion was proposed. Firstly, the dictionary matrix was selected according to the waveform characteristics and other priori knowledge. Then based on the unit matrix, the observation matrix can be constructed under the mission data model. Finally, to overcome the blind choice of the termination coefficient which will result in the support set with error atoms, the modified SAMP algorithm based on termination criterion was applied to recover the complete signal. The efficiency of the proposed method was validated by simulation signals and practical bearing signals, and the modified algorithm has better performance on reconstruction accuracy and computing efficiency. Besides that, the modified algorithm also outperforms orthogonal matching pursuit (OMP) and regularized orthogonal matching pursuit (ROMP).

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compressed sensing (CS) / sparsity adaptive / termination criterion / vibration data recovery

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XIE Xin WANG Huaqing SONG Liuyang LI Jingle HAO Yansong . A vibration data recovery method based on an modified sparsity adaptive algorithm[J]. Journal of Vibration and Shock, 2019, 38(16): 261-266

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