Lamb Wave Down-Sampling and Damage Location Based on Compressed Sensing
A Damage detection method based on compressed sensing and Lamb wave is used to construct a measurement matrix based on the Lamb wave subsampling signals,and an appropriate sampling rate is required to make the number of rows of the measurement matrix less than the number of columns.,so as to meet the applicable conditions of compressed sensing.However,a too low sampling rate will cause serious distortion between the received signal and the real signal.For this problem,a method based on interpolation to calculate the correlation coefficient between the down-sampled signal and the real signal is proposed to determine the degree of distortion between the down-sampled signal and the real signal.And combined with the compression ra-tio,the appropriate sampling interval is selected,the measurement matrix is determined.Through the orthogonal normalization of the measurement matrix,the measurement matrix is optimized,which greatly improves the reconstruction effect and the accu-racy and ability of damage location.After optimization,the sparsity with a reconstruction probability of 1 increases from 1 to about12.