Capacity-Region-Achieving Sparse Regression Codes for MIMO Multiple-Access Channels

Fuente: arXiv
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Hauptverfasser: Yan, Hao, Liu, Lei, Liu, Yuhao, Çakmak, Burak, Caire, Giuseppe
Format: Preprint
Veröffentlicht: 2026
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author Yan, Hao
Liu, Lei
Liu, Yuhao
Çakmak, Burak
Caire, Giuseppe
author_facet Yan, Hao
Liu, Lei
Liu, Yuhao
Çakmak, Burak
Caire, Giuseppe
contents This paper proposes a coding framework for capacity-region-achieving sparse regression (SR) codes over MIMO multiple-access channels (MIMO-MAC), where a single SR code is used for each user at the transmitter. With random semi-unitary dictionary matrices applied for encoding, multiple-access OAMP (MA-OAMP) enables reliable parallel interference cancellation (PIC) at the receiver. Theoretically, an optimal coding principle with the MA-OAMP receiver, which achieves the sum capacity and, in combination with time sharing, achieves the entire capacity region, is established as the guiding principle for designing capacity-region-achieving codes. Accordingly, a coding scheme for capacity-region-achieving SR codes is proposed via proper power allocation over the position-modulated signals.
format Preprint
id arxiv_https___arxiv_org_abs_2604_11062
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Capacity-Region-Achieving Sparse Regression Codes for MIMO Multiple-Access Channels
Yan, Hao
Liu, Lei
Liu, Yuhao
Çakmak, Burak
Caire, Giuseppe
Information Theory
This paper proposes a coding framework for capacity-region-achieving sparse regression (SR) codes over MIMO multiple-access channels (MIMO-MAC), where a single SR code is used for each user at the transmitter. With random semi-unitary dictionary matrices applied for encoding, multiple-access OAMP (MA-OAMP) enables reliable parallel interference cancellation (PIC) at the receiver. Theoretically, an optimal coding principle with the MA-OAMP receiver, which achieves the sum capacity and, in combination with time sharing, achieves the entire capacity region, is established as the guiding principle for designing capacity-region-achieving codes. Accordingly, a coding scheme for capacity-region-achieving SR codes is proposed via proper power allocation over the position-modulated signals.
title Capacity-Region-Achieving Sparse Regression Codes for MIMO Multiple-Access Channels
topic Information Theory
url https://arxiv.org/abs/2604.11062