Paper Info
Title
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. HighlightsWe present a new tensor model called a Tucker train decomposition or a nested Tucker decomposition (NTD).Assuming that the core tensors are known, we propose two algorithms for estimating the matrix factors of a NTD(4).We show that a NTD(4) allows to model a one-way two-hop MIMO relay system with TSTC at the source and the relay.We derive two semi-blind receivers allowing to jointly estimate the information symbols and the two individual relay channels.We demonstrate the effectiveness of the proposed receivers by means of Monte Carlo simulations.
Year
DOI
Venue
2016
10.1016/j.sigpro.2016.04.009
Signal Processing
Keywords
Field
DocType
Channel estimation,Nested Tucker model,MIMO systems,Relay systems,Semi-blind receivers,Space-time coding,Symbol estimation,Tensor decompositions,Tensor coding
Space–time code,Kronecker delta,Mathematical optimization,Tensor,Matrix (mathematics),MIMO,Communications system,Tucker decomposition,Relay,Mathematics
Journal
Volume
Issue
ISSN
128
C
0165-1684
Citations 
PageRank 
References 
5
0.44
32
Authors
3
Name
Order
Citations
PageRank
GéRard Favier151446.41
Carlos Alexandre R. Fernandes2223.95
André L. F. de Almeida337148.73