Non-Linear Precoding via Dirty Paper Coding for Near-Field Downlink MISO Communications

📅 2025-10-15
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🤖 AI Summary
In 6G near-field communications, severe multi-user interference and limited sum-rate performance—caused by high power consumption of linear precoding (e.g., zero-forcing) under large-scale antenna arrays and terahertz frequencies—pose critical challenges. To address this, this paper pioneers the application of dirty paper coding (DPC) to near-field MISO downlink systems, establishing a nonlinear precoding framework. Leveraging a near-field beam-focusing channel model, we jointly optimize DPC codeword ordering and power allocation, deriving the optimal power solution that maximizes sum rate. Simulation results under typical near-field configurations demonstrate that the proposed DPC-based scheme significantly outperforms zero-forcing precoding in sum rate, with particularly pronounced gains in scenarios featuring small inter-user spacing and high user density. This validates both the effectiveness and practical viability of DPC for near-field wireless communications.

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📝 Abstract
In 6G systems, extremely large-scale antenna arrays operating at terahertz frequencies extend the near-field region to typical user distances from the base station, enabling near-field communication (NFC) with fine spatial resolution through beamfocusing. Existing multiuser NFC systems predominantly employ linear precoding techniques such as zero-forcing (ZF), which suffer from performance degradation due to the high transmit power required to suppress interference. This paper proposes a nonlinear precoding framework based on Dirty Paper Coding (DPC), which pre-cancels known interference to maximize the sum-rate performance. We formulate and solve the corresponding sum-rate maximization problems, deriving optimal power allocation strategies for both DPC and ZF schemes. Extensive simulations demonstrate that DPC achieves substantial sum-rate gains over ZF across various near-field configurations, with the most pronounced improvements observed for closely spaced users.
Problem

Research questions and friction points this paper is trying to address.

Proposes nonlinear precoding for near-field MISO communications
Solves sum-rate maximization with optimal power allocation
Demonstrates DPC outperforms ZF, especially for closely spaced users
Innovation

Methods, ideas, or system contributions that make the work stand out.

Nonlinear precoding using Dirty Paper Coding
Pre-cancels known interference for sum-rate maximization
Optimal power allocation for near-field MISO communications