Simultaneous Factorization of Multiple Khatri-Rao and Kronecker Matrix Products in MIMO systems

Walter da Cruz Freitas Jr., Lucas Abdalah, André de Almeida

DOI: 10.14209/sbrt.2023.1570922852

Evento: XLI Simpósio Brasileiro de Telecomunicações e Processamento de Sinais (SBrT2023)

Keywords: Tensor PARAFAC Khatri-Rao product Kronecker product

Abstract

In this paper, we present a singular value decomposition (SVD)-based rank-one approximation algorithm to estimate simultaneously each symbol matrix of the multiple Khatri-Rao product-based space time (MKRST) coding. We modeled such estimation problem in a multiple input multiple output (MIMO) space-time coding scenario. As shown in our simulation results, the proposed algorithm is capable of avoid error propagation inherent to the iterative closed-form solution when the MKRST coding is considered, keeping the same complexity of the high-order SVD (HOSVD) approach.

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