Communications in Information & Systems

Efficient Solution of Linear Matrix Equations with Application to Multistatic Antenna Array Processing

Hanoch Lev-Ari

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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.

Article information

Source
Commun. Inf. Syst., Volume 05, Number 1 (2005), 123-130.

Dates
First available in Project Euclid: 7 June 2006

Permanent link to this document
https://projecteuclid.org/euclid.cis/1149698475

Mathematical Reviews number (MathSciNet)
MR2199726

Zentralblatt MATH identifier
1116.65050

Citation

Lev-Ari, Hanoch. Efficient Solution of Linear Matrix Equations with Application to Multistatic Antenna Array Processing. Commun. Inf. Syst. 05 (2005), no. 1, 123--130. https://projecteuclid.org/euclid.cis/1149698475


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