ETRI Journal (Feb 2023)

Blind signal separation for coprime planar arrays: An improved coupled trilinear decomposition method

  • Zhongyuan Que,
  • Xiaofei Zhang,
  • Benzhou Jin

DOI
https://doi.org/10.4218/etrij.2021-0285
Journal volume & issue
Vol. 45, no. 1
pp. 138 – 149

Abstract

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In this study, the problem of blind signal separation for coprime planar arrays is investigated. For coprime planar arrays comprising two uniform rectangular subarrays, we link the signal separation to the tensor-based model called coupled canonical polyadic decomposition (CPD) and propose an improved coupled trilinear decomposition approach. The output data of coprime planar arrays are modeled as a coupled tensor set that can be further interpreted as a coupled CPD model, allowing a signal separation to be achieved using coupled trilinear alternating least squares (TALS). Furthermore, in the procedure of the coupled TALS, a Vandermonde structure enforcing approach is explicitly applied, which is shown to ensure fast convergence. The results of Monto Carlo simulations show that our proposed algorithm has the same separation accuracy as the basic coupled TALS but with a faster convergence speed.

Keywords