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Nested Tucker tensor decomposition with application to MIMO relay systems using tensor space-time coding (TSTC)

Abstract : The aim of this paper is twofold. In a first part, we present a new tensor decomposition that we call Tucker train decomposition or nested Tucker decomposition (NTD). NTD can be viewed as a particular case of tensor-train decomposition recently proposed for representing and approximating high-dimensional tensors in a compact way. NTD of a fourth-order tensor is more specially analysed in terms of parameter estimation and uniqueness issue. In a second part, we show that the use of a tensor space-time coding (TSTC) structure at both the source node and the relay node of a one-way two-hop multi-input multi-output (MIMO) relay communication system leads to a nested Tucker decomposition of the fourth-order tensor formed by the signals received at the destination. Two semi-blind receivers are then proposed for jointly estimating the transmitted information symbols and the two individual relay channels. The first one is iterative, based on a three-step alternating least squares (ALS) algorithm, whereas the second one, denoted 2LSKP, is a closed-form solution based on the LS estimations of two Kronecker products. Two supervised receivers are also derived by using a (short) pilot-assisted closed-form solution for calculating channel estimates. These estimates are exploited either for initializing the ALS receiver, or for designing a zero-forcing (ZF) receiver. Extensive Monte Carlo simulation results are provided to demonstrate the performance of the proposed relay system.
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Contributor : Gérard Favier Connect in order to contact the contributor
Submitted on : Friday, May 6, 2016 - 12:38:52 AM
Last modification on : Sunday, May 1, 2022 - 3:15:15 AM


  • HAL Id : hal-01312373, version 1



Gérard Favier, Carlos Alexandre Rolim Fernandes, André de Almeida. Nested Tucker tensor decomposition with application to MIMO relay systems using tensor space-time coding (TSTC). Signal Processing, Elsevier, 2016, 128 (11), pp.318-331. ⟨hal-01312373⟩



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