High-SNR Comparison of Linear Precoding and DPC in RIS-Aided MIMO Broadcast Channels

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Main Authors: Semmler, Dominik, Fesl, Benedikt, Joham, Michael, Utschick, Wolfgang
Format: Preprint
Published: 2024
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author Semmler, Dominik
Fesl, Benedikt
Joham, Michael
Utschick, Wolfgang
author_facet Semmler, Dominik
Fesl, Benedikt
Joham, Michael
Utschick, Wolfgang
contents We compare dirty paper coding (DPC) and linear precoding methods in a reconfigurable intelligent surface (RIS)- aided high-signal-to-noise ratio (SNR) scenario, where the channel between the base station (BS) and the RIS is dominated by a line-of-sight (LOS) component. Furthermore, we consider two groups of users where one group can be efficiently served by the BS, whereas the other one has a negligible direct channel and has to be served via the RIS. Within this scenario, we analytically show fundamental differences between DPC and linear methods. In particular, our analysis addresses two essential aspects, i.e., the orthogonality of the BS-RIS channel with the direct channel and a channel mitigation term, depending on the number of RIS elements, that is present only for linear precoding techniques. The mitigation term generally leads to strong limitations for the linear method, especially for random or statistical phase shifts. Moreover, we discuss under which circumstances this mitigation term is negligible and in which scenarios DPC and linear precoding lead to the same performance.
format Preprint
id arxiv_https___arxiv_org_abs_2405_18859
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle High-SNR Comparison of Linear Precoding and DPC in RIS-Aided MIMO Broadcast Channels
Semmler, Dominik
Fesl, Benedikt
Joham, Michael
Utschick, Wolfgang
Signal Processing
We compare dirty paper coding (DPC) and linear precoding methods in a reconfigurable intelligent surface (RIS)- aided high-signal-to-noise ratio (SNR) scenario, where the channel between the base station (BS) and the RIS is dominated by a line-of-sight (LOS) component. Furthermore, we consider two groups of users where one group can be efficiently served by the BS, whereas the other one has a negligible direct channel and has to be served via the RIS. Within this scenario, we analytically show fundamental differences between DPC and linear methods. In particular, our analysis addresses two essential aspects, i.e., the orthogonality of the BS-RIS channel with the direct channel and a channel mitigation term, depending on the number of RIS elements, that is present only for linear precoding techniques. The mitigation term generally leads to strong limitations for the linear method, especially for random or statistical phase shifts. Moreover, we discuss under which circumstances this mitigation term is negligible and in which scenarios DPC and linear precoding lead to the same performance.
title High-SNR Comparison of Linear Precoding and DPC in RIS-Aided MIMO Broadcast Channels
topic Signal Processing
url https://arxiv.org/abs/2405.18859