用于高速数字电路辐射发射预估的稀疏源建模理论与方法研究

The prediction of radiated emission is an important basis for the electromagnetic compatibility design of high speed digital circuits (HSDCs). In view of existing prediction methods' shortcomings in efficiency and accuracy, this project plans to perform research on the theory and methods of sparse source modeling for the radiated emission from HSDCs based on their radiation mechanisms. The main research topics include: First, the sparse equivalent radiation source model of HSDCs will be constructed, and the reconstruction method of sparse vectors with piecewisely continuous support will be studied according to the characteristic that a strong radiating source continuously distributes in certain area. Second, a sparse equivalent source model with HSDCs' radiation and scattering characteristics will be built, and the reconstruction method for partially sparse vectors will be studied according to the equivalent source model's partial sparsity. Third, the effect of the near field scanning parameters on HSDCs' sparse equivalent source solution accuracy will be studied, and a method of choosing near field scanning parameters suitable for the reconstruction of HSDCs' sparse equivalent source will be developed. The aforementioned research work will build the sparse source modeling theory and methods that are suitable for the prediction of HSDCs' radiated emission, and overcome existing models' shortcoming of requiring a large amount of near field scanning data and being unable to model HSDCs' scattering characteristic, thus laying the theoretical foundation for the accurate and efficient prediction of HSDCs' radiated emission and promoting the development of sparse reconstruction theory and methods.

辐射发射预估是高速数字电路电磁兼容性设计的重要基础。针对现有预估方法在效率和精度方面的不足，本项目拟基于高速数字电路辐射机理开展其辐射发射的稀疏源建模理论与方法研究。主要研究内容包括：一、建立高速数字电路的稀疏等效辐射源模型，并针对强辐射源在一定区域内连续分布的特征，研究支撑集元素分段连续分布的稀疏矢量重建方法；二、构建兼具高速数字电路辐射与散射特征的稀疏等效源模型，针对该等效源模型具有部分稀疏的特点研究部分稀疏矢量的重建方法；三、探索近场扫描参数对高速数字电路稀疏等效源重建精度的影响机理，发展适用于高速数字电路稀疏等效源重建的近场扫描参数选取方法。上述研究工作将建立适用于高速数字电路辐射发射预估的稀疏源建模理论与方法，克服现有模型需要大量近场扫描数据与不能模拟高速数字电路散射效应的不足，从而为高速数字电路辐射发射的精确高效预估奠定理论基础，并促进稀疏重建理论与方法的发展。

本项目研究了高速数字电路辐射机理，并据此开展了其辐射发射的稀疏源建模理论与方法的研究。主要研究内容包括：一、基于辐射源的空间稀疏特性建立了高速数字电路的稀疏等效辐射源模型，发展了辐射源的稀疏重建方法，提高了源重建效率；二、利用惠更斯等效原理、镜像原理及一致性绕射理论发展了修正格林函数，建立了基于修正格林函数的稀疏等效辐射源模型，拓展了稀疏等效辐射源模型的应用范围；三、基于等效边缘流理论提出了混合面-边等效流模型，利用等效边流对边缘绕射效应进行建模，提高了稀疏等效辐射源模型的灵活性；四、探明了辐射源到近场的映射矩阵骨骼化的物理内涵，提出了基于骨骼化框架的近场压缩采样方法，降低了近场采样的成本。上述研究工作探明了适用于高速数字电路辐射发射预估的稀疏源建模理论与方法，克服了现有模型需要大量近场扫描数据的不足，为高速数字电路辐射发射的精确高效预估奠定了理论基础，并促进了稀疏重建理论与方法的发展。