arXiv:2604.01944cs.NIcs.AI2026-04被引 1

用物理约束的Transformer重建被干扰阻断的频段信道响应

Physics-Informed Transformer for Multi-Band Channel Frequency Response Reconstruction

  • 基于马尔可夫链建模频段突发占用,用分治自注意力降低计算开销
  • 在50%干扰率下功率时延轮廓相似度达0.82,优于最佳基线0.62
  • 支持不同移动速度场景,适合无线通信系统中动态频谱恢复

宽带信道频率响应(CFR)估计在多频带无线系统中极具挑战性,尤其当一个或多个子频带因共信道干扰而临时阻塞时。本文提出一种物理信息型复数Transformer,从部分观测的碎片化频谱快照中重构完整的宽带CFR。每个子频带的干扰模式被建模为独立的两状态离散时间马尔可夫链,以捕捉真实的突发占用行为。模型在包含$T$个快照和$F$个频率子带的联合时频网格上运行,采用因子化自注意力机制,分别在时间和频率轴上独立注意,将计算复杂度降至$O(TF^2 + FT^2)$。复数输入输出通过保相的全纯线性层处理。训练使用复合物理信息损失函数,包含频谱保真度、功率时延轮廓(PDP)重构、信道冲激响应(CIR)稀疏性与时间平滑性。通过每样本速度随机化引入移动性影响,使模型在不同移动场景中具备泛化能力。与三种经典基线(最后观测值前推、零填充、三次样条插值)对比,本方法在干扰占用率高达50%时,实现最高PDP相似度,达到$ρ\geq 0.82$,优于最佳基线的$ρ\geq 0.62$。此外,模型在全速度范围内表现平稳,始终优于所有基线。

原文摘要 · Abstract (English)

Wideband channel frequency response (CFR) estimation is challenging in multi-band wireless systems, especially when one or more sub-bands are temporarily blocked by co-channel interference. We present a physics-informed complex Transformer that reconstructs the full wideband CFR from such fragmented, partially observed spectrum snapshots. The interference pattern in each sub-band is modeled as an independent two-state discrete-time Markov chain, capturing realistic bursty occupancy behavior. Our model operates on the joint time-frequency grid of $T$ snapshots and $F$ frequency bins and uses a factored self-attention mechanism that separately attends along both axes, reducing the computational complexity to $O(TF^2 + FT^2)$. Complex-valued inputs and outputs are processed through a holomorphic linear layer that preserves phase relationships. Training uses a composite physics-informed loss combining spectral fidelity, power delay profile (PDP) reconstruction, channel impulse response (CIR) sparsity, and temporal smoothness. Mobility effects are incorporated through per-sample velocity randomization, enabling generalization across different mobility regimes. Evaluation against three classical baselines, namely, last-observation-carry-forward, zero-fill, and cubic-spline interpolation, shows that our approach achieves the highest PDP similarity with respect to the ground truth, reaching $ρ\geq 0.82$ compared to $ρ\geq 0.62$ for the best baseline at interference occupancy levels up to 50%. Furthermore, the model degrades smoothly across the full velocity range, consistently outperforming all other baselines.

信道估计Transformer物理信息频谱重建

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