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Main Authors: Nwalozie, Gerald C., de Almeida, Andre L. F., Haardt, Martin
Format: Preprint
Published: 2024
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Online Access:https://arxiv.org/abs/2412.05743
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author Nwalozie, Gerald C.
de Almeida, Andre L. F.
Haardt, Martin
author_facet Nwalozie, Gerald C.
de Almeida, Andre L. F.
Haardt, Martin
contents In this paper, we consider a double-RIS (D-RIS)-aided flat-fading MIMO system and propose an interference-free channel training and estimation protocol, where the two single-reflection links and the one double-reflection link are estimated separately. Specifically, by using the proposed training protocol, the signal measurements of a particular reflection link can be extracted interference-free from the measurements of the superposition of the three links. We show that some channels are associated with two different components of the received signal. Exploiting the common channels involved in the single and double reflection links while recasting the received signals as tensors, we formulate the coupled tensor-based least square Khatri-Rao factorization (C-KRAFT) algorithm which is a closed-form solution and an enhanced iterative solution with less restrictions on the identifiability constraints, the coupled-alternating least square (C-ALS) algorithm. The C-KRAFT and C-ALS based channel estimation schemes are used to obtain the channel matrices in both single and double reflection links. We show that the proposed coupled tensor decomposition-based channel estimation schemes offer more accurate channel estimates under less restrictive identifiability constraints compared to competing channel estimation methods. Simulation results are provided showing the effectiveness of the proposed algorithms.
format Preprint
id arxiv_https___arxiv_org_abs_2412_05743
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Enhanced channel estimation for double RIS-aided MIMO systems using coupled tensor decomposition
Nwalozie, Gerald C.
de Almeida, Andre L. F.
Haardt, Martin
Signal Processing
In this paper, we consider a double-RIS (D-RIS)-aided flat-fading MIMO system and propose an interference-free channel training and estimation protocol, where the two single-reflection links and the one double-reflection link are estimated separately. Specifically, by using the proposed training protocol, the signal measurements of a particular reflection link can be extracted interference-free from the measurements of the superposition of the three links. We show that some channels are associated with two different components of the received signal. Exploiting the common channels involved in the single and double reflection links while recasting the received signals as tensors, we formulate the coupled tensor-based least square Khatri-Rao factorization (C-KRAFT) algorithm which is a closed-form solution and an enhanced iterative solution with less restrictions on the identifiability constraints, the coupled-alternating least square (C-ALS) algorithm. The C-KRAFT and C-ALS based channel estimation schemes are used to obtain the channel matrices in both single and double reflection links. We show that the proposed coupled tensor decomposition-based channel estimation schemes offer more accurate channel estimates under less restrictive identifiability constraints compared to competing channel estimation methods. Simulation results are provided showing the effectiveness of the proposed algorithms.
title Enhanced channel estimation for double RIS-aided MIMO systems using coupled tensor decomposition
topic Signal Processing
url https://arxiv.org/abs/2412.05743