用结构化神经网络实现低复杂度宽带多波束赋形,实时高效。
A Low-complexity Structured Neural Network Approach to Intelligently Realize Wideband Multi-beam Beamformers
- 通过约束权重矩阵结构与稀疏性,降低神经网络复杂度。
- 相比传统全连接网络,计算复杂度从O(M²L)降至O(pLM logM)。
- 适用于智能低功耗系统,适合6G毫米波通信场景。
真时延(TTD)波束成形器可在模拟和数字信号域中实现宽带、无波束偏移的波束,克服频率依赖的FFT波束缺陷。此前研究发现,利用时延范德蒙矩阵(DVM)元素可高效实现TTD波束成形。本文在该基础上,提出一种基于结构化权重矩阵与子矩阵的神经网络架构,用于实现宽带多波束波束成形。该结构显著降低网络空间与计算复杂度:所提架构复杂度为O(pLM logM),相较传统全连接层网络的O(M²L)有明显优势,其中M为每层节点数,p为每层子矩阵数,且M >> p。在24 GHz至32 GHz频段的数值仿真验证了该架构在实现宽带多波束成形上的可行性。通过均方误差评估,该方法在归一化节点下保持高精度,同时大幅降低复杂度,证明其在低复杂度智能系统中实现实时波束成形的有效性。
原文摘要 · Abstract (English)
True-time-delay (TTD) beamformers can produce wideband, squint-free beams in both analog and digital signal domains, unlike frequency-dependent FFT beams. Our previous work showed that TTD beamformers can be efficiently realized using the elements of delay Vandermonde matrix (DVM), answering the longstanding beam-squint problem. Thus, building on our work on classical algorithms based on DVM, we propose neural network (NN) architecture to realize wideband multi-beam beamformers using structure-imposed weight matrices and submatrices. The structure and sparsity of the weight matrices and submatrices are shown to reduce the space and computational complexities of the NN greatly. The proposed network architecture has O(pLM logM) complexity compared to a conventional fully connected L-layers network with O(M2L) complexity, where M is the number of nodes in each layer of the network, p is the number of submatrices per layer, and M >> p. We will show numerical simulations in the 24 GHz to 32 GHz range to demonstrate the numerical feasibility of realizing wideband multi-beam beamformers using the proposed neural architecture. We also show the complexity reduction of the proposed NN and compare that with fully connected NNs, to show the efficiency of the proposed architecture without sacrificing accuracy. The accuracy of the proposed NN architecture was shown using the mean squared error, which is based on an objective function of the weight matrices and beamformed signals of antenna arrays, while also normalizing nodes. The proposed NN architecture shows a low-complexity NN realizing wideband multi-beam beamformers in real-time for low-complexity intelligent systems.
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