Study of time reversal highly resolved localization by decomposition of the time reversal operator

Based on the decomposition of the time reversal (TR) operator,the approach of active time reversal selective localization is put forward.To enhance the resolution of the approach,according to similarity between the TR operator and the covariance matrix,the techniques of TR multiple signal classification (MUSIC) location and TR minimum variance distortionless response (MVDR) location are presented.The conventional method to obtain the TR operator uses individual source array elements.The disadvantage of the method is that the input signal-to-noise ratios usually are quite low for each time only one element transmitting the signal.To achieve greater signal-to-noise ratios and improve the performance of the above three location techniques,the method of the source receiver array (SRA) probing by weighting orthogonal functions is put forward.The waveguide experiment demonstrates the three location techniques and the method of the orthogonal transmission.The experimental results show that the subspace-based TR MUSIC location has the least location error among the three location techniques,and the TR MVDR location has the highest resolution.