Compressive sensing of piezoelectric sensor response signal for phased array structural health monitoring

There are three steps for compressive sensing, such as the sparse representation of signal, the design of observation matrix and the reconstruction of signal. The existing observation matrix may lose the part information of the original signal after compressing and sampling. Then, the adaptive observation matrix is proposed to sparse samples for ultrasonic wave signals that are analysed in the phased array structural health monitoring. The matrix is generated adaptively according to the information of the sparse coefficients vector, so that the sparse signal can include all the information of the original signal after compressing and sampling. Moreover, the orthogonal matching pursuit (OMP) algorithm will be used in reconstructing the ultrasonic wave signal with high probability. Finally, experiments were carried out on the aluminium plate. The proposed method that based on the adaptive observation matrix can effectively reduce the reconstruction error and more accurately and completely reconstruct the sensor response signal.

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