Topics in matrix analysis
Matrix theory: a second course
Matrix theory: a second course
Fundamentals of statistical signal processing: estimation theory
Fundamentals of statistical signal processing: estimation theory
Eigenvalues of the far field operator for the Helmholtz equation in an absorbing medium
SIAM Journal on Applied Mathematics
Imaging of location and geometry for extended targets using the response matrix
Journal of Computational Physics
An information theoretic approach to source enumeration in array signal processing
IEEE Transactions on Signal Processing
Degrees of freedom in multiple-antenna channels: a signal space approach
IEEE Transactions on Information Theory
Array redundancy for active line arrays
IEEE Transactions on Image Processing
Three-dimensional surface reconstruction from multistatic SAR images
IEEE Transactions on Image Processing
Time-reversal detection using antenna arrays
IEEE Transactions on Signal Processing
Detection of point-like scatterers using one type of scattered elastic waves
Journal of Computational and Applied Mathematics
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The nonlinear inverse scattering problem of estimating the locations and scattering strengths or reflectivities of a number of small, point-like inhomogeneities (targets) to a known background medium from single-snapshot active wave sensor array data is investigated in connection with time-reversal multiple signal classification and an alternative signal subspace method which is based on search in high-dimensional parameter space and which is found to outperform the time-reversal approach in number of localizable targets and in estimation variance. A noniterative formula for the calculation of the target reflectivities is derived which completes the solution of the nonlinear inverse scattering problem for the general case when there is significant multiple scattering between the targets. The paper includes computer simulations illustrating the theory and methods discussed in the paper.