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Capacity-Region-Achieving Sparse Regression Codes for MIM...
[Submitted on 13 Apr 2026 (v1), last revised 5 Jul 2026 (this ve · 2026-04-13 · via cs.IT updates on arXiv.org

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Abstract: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.

Submission history

From: Hao Yan [view email]
[v1] Mon, 13 Apr 2026 06:44:03 UTC (224 KB)
[v2] Sun, 5 Jul 2026 03:40:44 UTC (224 KB)