Fast and Efficient Time-Reversal Imaging Using Space-Frequency Propagator Method
- 19 March 2020
- journal article
- conference paper
- Published by Institute of Electrical and Electronics Engineers (IEEE) in IEEE Transactions on Signal Processing
- Vol. 68 (1053587X), 2077-2086
- https://doi.org/10.1109/tsp.2020.2981672
Abstract
It is known that the eigenvalue decomposition and singular value decomposition (SVD) of multi-static data matrices (MDMs) are the basis of time-reversal (TR) imaging. However, the computational loads of the SVD can be significantly high when the MDMs are large. The computational cost of the propagator method (PM) without any SVD of MDMs is much lower than that of SVD-based methods. In this paper, to reduce the computational complexity in TR imaging, first a novel space-frequency propagator method (SF-PM) for TR imaging in large MDMs is proposed. The computational complexity of the proposed SF-PM is then analyzed. Moreover, the theoretical analysis is presented to show that the SF-PM has a significantly lower computational complexity than the conventional SVDbased approach. Finally, the reasonable imaging results and superior computational efficiency of the SF-PM are verified by simulation.Keywords
This publication has 41 references indexed in Scilit:
- PERFORMANCE OF IMPULSE RADIO UWB COMMUNICATIONS BASED ON TIME REVERSAL TECHNIQUEProgress In Electromagnetics Research, 2008
- Full Time-Domain DORT for Ultrawideband Electromagnetic Fields in Dispersive, Random Inhomogeneous MediaIEEE Transactions on Antennas and Propagation, 2006
- Frequency Dispersion Compensation in Time Reversal Techniques for UWB Electromagnetic WavesIEEE Geoscience and Remote Sensing Letters, 2005
- Multipath-Enabled Super-Resolution for rf and Microwave Communication using Phase-Conjugate ArraysPhysical Review Letters, 2004
- DORT method as applied to ultrawideband signals for detection of buried objectsIEEE Transactions on Geoscience and Remote Sensing, 2003
- Imaging and time reversal in random mediaInverse Problems, 2002
- Two decades of array signal processing research: the parametric approachIEEE Signal Processing Magazine, 1996
- Eigenmodes of the time reversal operator: A solution to selective focusing in multiple-target mediaWave Motion, 1994
- Spatial analysis using new properties of the cross-spectral matrixIEEE Transactions on Signal Processing, 1991
- An Improved Algorithm for Computing the Singular Value DecompositionACM Transactions on Mathematical Software, 1982