The weighted wideband time-reversal imaging approach of full signal subspaces was proposed.The extended target is modeled as an infinite number of independent point-like scatterers,and the imaging is constructed by accumulating all time-reversal images over all signal subspaces and the entire bandwidth in the region of suspected targets.On the bottom of a laboratory water waveguide,a cylindrical shell was used to produce reverberation.Two experiments were carried out.The first experiment is that an extended target was suspended near the cylindrical shell,whose echo and the reverberation reflected by the cylindrical shell were in different time windows.The second experiment is that a point-like target was suspended above the cylindrical shell,thus the echo and the reverberation were in the same time window.The experimental results show that the imaging quality of the proposed method is better than that of the conventional time reversal imaging methods for weak suspended targets in a strong reverberation background.
The weighted wideband imaging approach of full signal subspaces is proposed based on the decomposition of the time reversal operator(DORT). Although each singular vector of nonzero singular values does not correspond to one of the extended targets any more, the conventional approach of selective time reversal focusing still chooses one of the signal subspaces for imaging. Simultaneously, the time-reversal MUSIC imaging is carried out at a single frequency for wideband signal. The imaging of both methods has a high background fluctuation.In order to overcome these drawbacks, the number of signal subspaces is determined by the singular values of the time reversal operator, and then DORT imaging of full signal subspaces and entire bandwidth is achieved using the generalized reflectivity coefficients as the weighted parameters. The experimental result shows that the sidelobe level of this approach is extremely decreased.
