arXiv:2510.02108eess.SPcs.AI2025-10被引 1

用张量等变网络实现符号级预编码高效求解,速度提升80倍。

Unlocking Symbol-Level Precoding Efficiency Through Tensor Equivariant Neural Network

  • 基于张量等变性设计低复杂度神经网络,共享参数结构简化计算。
  • 在理想与非理想信道下均实现接近最优性能,速度比传统方法快80倍。
  • 适合需要高速低延迟预编码的5G/6G系统,尤其适用于多用户场景。

尽管基于建设性干扰(CI)的符号级预编码(SLP)能带来性能提升,但其高复杂度仍是瓶颈。本文提出一种端到端深度学习框架,利用最优SLP解的闭式结构及其内在张量等变性(TE),即输入排列导致输出相应排列。基于高效的模型化公式及其已知闭式解,分析其与线性预编码(LP)的关系并推导最优性条件。构建问题到解的映射并证明其具有TE性质,由此设计的网络呈现特定参数共享模式,实现低计算复杂度和强泛化能力。提出以注意力机制为核心的张量等变模块,达到线性计算复杂度。进一步验证该框架可扩展至不完美信道状态信息(CSI)场景,设计基于TE的网络将CSI、统计量和符号映射为辅助变量。仿真表明,所提框架获得接近最优的SLP性能,相比传统方法提速约80倍,并在不同用户数和符号块长度下保持强泛化能力。

原文摘要 · Abstract (English)

Although symbol-level precoding (SLP) based on constructive interference (CI) exploitation offers performance gains, its high complexity remains a bottleneck. This paper addresses this challenge with an end-to-end deep learning (DL) framework with low inference complexity that leverages the structure of the optimal SLP solution in the closed-form and its inherent tensor equivariance (TE), where TE denotes that a permutation of the input induces the corresponding permutation of the output. Building upon the computationally efficient model-based formulations, as well as their known closed-form solutions, we analyze their relationship with linear precoding (LP) and investigate the corresponding optimality condition. We then construct a mapping from the problem formulation to the solution and prove its TE, based on which the designed networks reveal a specific parameter-sharing pattern that delivers low computational complexity and strong generalization. Leveraging these, we propose the backbone of the framework with an attention-based TE module, achieving linear computational complexity. Furthermore, we demonstrate that such a framework is also applicable to imperfect CSI scenarios, where we design a TE-based network to map the CSI, statistics, and symbols to auxiliary variables. Simulation results show that the proposed framework captures substantial performance gains of optimal SLP, while achieving an approximately 80-times speedup over conventional methods and maintaining strong generalization across user numbers and symbol block lengths.

预编码神经网络张量等变5G/6G

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