Communications in Information and Systems

Volume 5 (2005)

Number 1

Efficient solution of linear matrix equations with application to multistatic antenna array processing

Pages: 123 – 130

DOI: http://dx.doi.org/10.4310/CIS.2005.v5.n1.a5

Author

Hanoch Lev-Ari (Department of Electrical and Computer Engineering, Northeastern University, Boston, Mass., U.S.A.)

Abstract

We present a computationally-efficient matrix-vector expression for the solution of a matrix linear least squares problem that arises in multistatic antenna array processing. Our derivation relies on an explicit new relation between Kronecker, Khatri-Rao and Schur-Hadamard matrix products, which involves a selection matrix (i.e., a subset of the columns of a permutation matrix). Moreover, we show that the same selection matrix also relates the vectorization-by-columns operator to the diagonal extraction operator, which plays a central role in our computationally-efficient solution.

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