Channel Estimation for MIMO-OFDM Based on Adaptive Transformer Network in High-Speed Mobile Scenarios
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摘要: 高速移动场景下显著多普勒频移引发信道快速时变特性及子载波间干扰加剧,导致MIMO-OFDM系统信道估计精度下降及鲁棒性不足,本文提出一种基于特征线性调制(Feature-wise Linear Modulation, FiLM)的自适应Transformer信道估计模型—AdaFiT。首先,采用可分离二维线性上采样获取全时频域信道估计,并利用点卷积在通道维度对多天线复数信道的实部与虚部进行联合建模,结合卷积特征增强模块提取多尺度时频特征;然后,设计信道自适应特征调制模块,将信道参数作为先验条件信息,基于FiLM机制生成特征层面的缩放系数与偏移系数,仿射调制Transformer网络的块嵌入序列,实现对信道统计变化的条件自适应;最后,通过二维可学习位置编码的Transformer编码器全局建模块级特征,并结合残差重建结构融合局部与全局特征,完成高精度信道重建。结果表明,所提AdaFiT模型在CDL-C和CDL-A两种信道模型下均优于LS-Blinear、LMMSE及现有自适应方法,对不同信道模型具有较好的适应性。其中,在CDL-C信道模型下的动态信噪比、多普勒频移及不同时延扩展条件下,均方根误差最大可提升7 dB。
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关键词:
- MIMO-OFDM系统 /
- 信道估计 /
- Transformer网络 /
- 自适应特征调制 /
- 特征线性调制
Abstract:Objective Accurate channel state information (CSI) is essential for coherent detection, beamforming, and adaptive resource allocation in multiple-input multiple-output orthogonal frequency division multiplexing (MIMO-OFDM) systems. In high-mobility environments, large Doppler shifts and multipath propagation jointly cause doubly selective fading, destroy subcarrier orthogonality, and aggravate inter-carrier interference. Consequently, conventional least squares (LS) and linear minimum mean square error (LMMSE) estimators suffer substantial performance degradation. Existing deep learning estimators provide strong nonlinear modeling capability, but often show insufficient adaptability to variations in signal-to-noise ratio (SNR), delay spread, and Doppler shift, or inefficiently incorporate physical channel priors. To address these problems, a Transformer network with adaptive feature modulation, termed AdaFiT, is proposed for channel estimation in high-mobility MIMO-OFDM systems. Methods The proposed AdaFiT framework performs channel estimation by jointly exploiting local time-frequency correlations, global dependencies, and explicit channel-aware adaptation. It takes least squares (LS) estimates at pilot positions, together with signal-to-noise ratio (SNR), delay spread, and maximum Doppler shift, as inputs. A separable two-dimensional linear upsampling module first interpolates the sparse pilot estimates to the full OFDM time-frequency grid by independently processing the real and imaginary components along the frequency and time dimensions. A convolutional feature enhancement module then extracts robust local representations: a complex feature mixing layer fuses multi-antenna real and imaginary components, while multi-scale convolutional blocks with channel attention capture short-range time-frequency correlations and suppress noise. Next, a feature-wise linear modulation (FiLM)-based channel-adaptive module embeds the three channel parameters through independent multilayer perceptrons and combines them into a channel-state representation. This representation generates scaling and shifting coefficients to dynamically recalibrate the block-embedded sequences according to varying channel statistics. Finally, the modulated sequences are processed by a Transformer encoder with learnable two-dimensional positional encoding to model long-range dependencies across the time-frequency grid and antenna dimensions. A residual reconstruction structure fuses the global features with locally enhanced representations, yielding accurate channel estimates with global consistency and preserved local details. Results and Discussions Simulation analyses are conducted based on the CDL-C and CDL-A channel models. The LS-based bilinear interpolation method, the LMMSE method, the AdaFortiTran model, and the AdaFiT model without the adaptive module are selected as comparison schemes. The mean squared error (MSE) performance of these models is compared under different signal-to-noise ratio (SNR), maximum Doppler shift, and delay spread conditions. Under the CDL-C channel model, AdaFiT achieves the lowest MSE over the entire SNR range ( Fig. 3 ). At an SNR of 0 dB, its MSE is approximately 2.5 dB lower than that of AdaFortiTran, and the performance gain increases to approximately 7 dB at an SNR of 30 dB. Compared with the AdaFiT model without the adaptive module, AdaFiT achieves a maximum MSE gain of approximately 2.1 dB, which verifies the effectiveness of the proposed channel-adaptive feature modulation module. When the maximum Doppler shift increases from 200 Hz to1400 Hz, AdaFiT consistently maintains the lowest MSE (Fig. 4 ). In the high-Doppler range of1000 –1400 Hz, AdaFiT outperforms the AdaFiT model without the adaptive module and AdaFortiTran by approximately 2 dB and 3.5 dB, respectively, demonstrating improved robustness against rapid channel variations. For delay spreads ranging from 100 ns to 700 ns, AdaFiT also maintains the lowest MSE over the entire range (Fig. 5 ), achieving approximately 3 dB and 5.5 dB gains over the AdaFiT model without the adaptive module and AdaFortiTran, respectively. These results demonstrate that the proposed adaptive feature modulation mechanism effectively improves the adaptability of the model to time-selective and frequency-selective fading.To further evaluate the performance of the AdaFiT model under different channel models, simulation analysis is conducted based on the 3GPP CDL-A channel model. At SNRs of 0–5 dB, AdaFiT outperforms LMMSE by approximately 4–5 dB, while the performance gain reaches approximately 7 dB at SNRs of 20–30 dB (Fig. 6(a) ). Compared with AdaFortiTran, AdaFiT achieves an MSE gain of approximately 2 dB under low-SNR conditions, and the gain increases to approximately 5.5 dB under high-SNR conditions. In the maximum Doppler shift experiment, the MSE of AdaFiT remains between approximately –38 dB and –37 dB over the range of 200–800 Hz and is approximately 5 dB lower than that of AdaFortiTran (Fig. 6(b) ). Although the MSE of AdaFiT increases when the maximum Doppler shift exceeds1000 Hz, it still achieves an approximately 6 dB gain over LMMSE at1400 Hz and remains superior to AdaFortiTran. Over the entire delay spread range, AdaFiT achieves approximately 4–6 dB gain over LMMSE and approximately 4–5.5 dB gain over AdaFortiTran (Fig. 6(c) ).Conclusions The proposed AdaFiT framework performs channel estimation by jointly exploiting local time-frequency correlations, global dependencies, and an explicit channel-aware adaptation mechanism. Simulation results under the CDL-C and CDL-A channel models show that AdaFiT consistently achieves lower MSE than the LS-based bilinear interpolation method, LMMSE, AdaFortiTran, and the AdaFiT model without the adaptive module under different SNR, maximum Doppler shift, and delay spread conditions. These results verify the effectiveness of the proposed adaptive feature modulation mechanism and demonstrate that AdaFiT maintains high estimation accuracy and stable performance under different channel models, indicating good adaptability to varying channel environments. -
表 1 模型复杂度对比
模型 参数量 复杂度 LS-Bilinear − $ O\left({N}_{\text{tx}}{N}_{\text{rx}}{N}_{\text{f}}{N}_{\text{t}}\right) $ LMMSE − $ O\left({N}_{\text{tx}}{N}_{\text{rx}}{N}_{\text{f}}{}^{3}{N}_{\text{t}}\right) $ AdaFortiTran 2.738M $ O\left({({{N}_{\text{tx}}}{{N}_{\text{rx}}})}^{2}{N}_{\text{f}}{N}_{\text{t}}+{S}^{2}(D+k)+S{(D+k)}^{2}\right) $ AdaFiT(无自适应模块) 0.268M $ O\left({({{N}_{\text{tx}}}{{N}_{\text{rx}}})}^{2}{N}_{\text{f}}{N}_{\text{t}}+{S}^{2}D+S{D}^{2}\right) $ AdaFiT(本文模型) 0.958M $ O\left({({{N}_{\text{tx}}}{{N}_{\text{rx}}})}^{2}{N}_{\text{f}}{N}_{\text{t}}+{S}^{2}D+S{D}^{2}+({N}_{\text{tx}}{N}_{\text{rx}}){N}_{\text{f}}{N}_{\text{t}}\right) $ 表 2 MIMO-OFDM系统参数
参数 符号 数值 参数 符号 数值 发射天线数 $ {N}_{\text{tx}} $ 4 接收天线数 $ {N}_{\text{rx}} $ 4 载波频率 $ {f}_{\text{c}} $ 3.5 GHz 信道模型 − CDL-C; CDL-A 子载波间隔 $ {\Delta }f $ 15 kHz 系统带宽 $ B $ 5 MHz OFDM符号数 $ {N}_{\text{t}} $ 14 总子载波数 $ {N}_{\text{f}} $ 300 单天线导频数 $ {N}_{\text{p}} $ 50 导频间隔 $ D $ 12 数据调制 − QPSK 信噪比 $ s $ [0, 5, 10, 15, 20, 25, 30] dB 时延扩展 $ {\tau }_{\text{ds}} $ [50, 150,···, 650] ns 最大多普勒频移 $ {f}_{\text{d}} $ [100, 200,···, 1000 ] Hz -
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