In order to increase the evaluating precision of mesh reflection wave, the mesh wave impedance (MWI) is extended to the non-uniform mesh in 1-D and 2-D cases for the first time on the basis of the Yee's positional...In order to increase the evaluating precision of mesh reflection wave, the mesh wave impedance (MWI) is extended to the non-uniform mesh in 1-D and 2-D cases for the first time on the basis of the Yee's positional relation for electromagnetic field components. Lots of characteristics are obtained for different mesh sizes and frequencies. Then the reflection coefficient caused by the non-uniform mesh can be calculated according to the theory of equivalent transmission line. By comparing it with that calculated by MWI in the uniform mesh, it is found that the evaluating error can be largely reduced and is in good agreement with that directly computed by FDTD method. And this extension of MWI can be used in the error analysis of complex mesh.展开更多
In this paper, we discuss the uniform convergence of the simple upwind scheme on the Shishkin mesh and the Bakhvalov-Shishkin mesh for solving a singularly perturbed Robin boundary value problem, and investigate the m...In this paper, we discuss the uniform convergence of the simple upwind scheme on the Shishkin mesh and the Bakhvalov-Shishkin mesh for solving a singularly perturbed Robin boundary value problem, and investigate the midpoint upwind scheme on the Shishkin mesh and the Bakhvalov-Shishkin mesh to achieve better uniform convergence. The elaborate ε-uniform pointwise estimates are proved by using the comparison principle and barrier functions. The numerical experiments support the theoretical results for the schemes on the meshes.展开更多
在6G通信系统中,随着天线规模的增大,菲涅尔区逐步扩展,现有的远场通信假设会引入严重的能量扩散,即角度域不再稀疏.近场通信利用球面波前进行建模,其信道模型与用户到达基站的角度和距离相关,在通信的同时可以估计角度和距离,实现通信...在6G通信系统中,随着天线规模的增大,菲涅尔区逐步扩展,现有的远场通信假设会引入严重的能量扩散,即角度域不再稀疏.近场通信利用球面波前进行建模,其信道模型与用户到达基站的角度和距离相关,在通信的同时可以估计角度和距离,实现通信感知一体化(Integrated Sensing And Communication,ISAC).本文针对近场环境下ISAC问题,提出了基于极坐标的近场模型,通过非均匀网格划分将ISAC转化为稀疏估计问题,进而提出基于稀疏贝叶斯学习模型和消息传递算法的ISAC算法,同时完成活跃用户检测、位置感知和通信.此外,所提算法采用差分调制,在通信和感知中无需利用导频,即可实现盲ISAC,有效提升通信系统的频谱效率.仿真结果表明,相对于均匀区域划分和文献现有方法,本文提出的ISAC算法可获得更高的感知精度和误码率性能.展开更多
A nonlinear difference scheme is given for solving a quasilinear singularly perturbed two-point boundary value problem with a turning point. The method uses non-equidistant discretization meshes. The solution of the s...A nonlinear difference scheme is given for solving a quasilinear singularly perturbed two-point boundary value problem with a turning point. The method uses non-equidistant discretization meshes. The solution of the scheme is shown to be first order accurate in the discrete L￣∞ norm, uniformly in the perturbation parameter.展开更多
文摘In order to increase the evaluating precision of mesh reflection wave, the mesh wave impedance (MWI) is extended to the non-uniform mesh in 1-D and 2-D cases for the first time on the basis of the Yee's positional relation for electromagnetic field components. Lots of characteristics are obtained for different mesh sizes and frequencies. Then the reflection coefficient caused by the non-uniform mesh can be calculated according to the theory of equivalent transmission line. By comparing it with that calculated by MWI in the uniform mesh, it is found that the evaluating error can be largely reduced and is in good agreement with that directly computed by FDTD method. And this extension of MWI can be used in the error analysis of complex mesh.
文摘In this paper, we discuss the uniform convergence of the simple upwind scheme on the Shishkin mesh and the Bakhvalov-Shishkin mesh for solving a singularly perturbed Robin boundary value problem, and investigate the midpoint upwind scheme on the Shishkin mesh and the Bakhvalov-Shishkin mesh to achieve better uniform convergence. The elaborate ε-uniform pointwise estimates are proved by using the comparison principle and barrier functions. The numerical experiments support the theoretical results for the schemes on the meshes.
文摘在6G通信系统中,随着天线规模的增大,菲涅尔区逐步扩展,现有的远场通信假设会引入严重的能量扩散,即角度域不再稀疏.近场通信利用球面波前进行建模,其信道模型与用户到达基站的角度和距离相关,在通信的同时可以估计角度和距离,实现通信感知一体化(Integrated Sensing And Communication,ISAC).本文针对近场环境下ISAC问题,提出了基于极坐标的近场模型,通过非均匀网格划分将ISAC转化为稀疏估计问题,进而提出基于稀疏贝叶斯学习模型和消息传递算法的ISAC算法,同时完成活跃用户检测、位置感知和通信.此外,所提算法采用差分调制,在通信和感知中无需利用导频,即可实现盲ISAC,有效提升通信系统的频谱效率.仿真结果表明,相对于均匀区域划分和文献现有方法,本文提出的ISAC算法可获得更高的感知精度和误码率性能.
文摘A nonlinear difference scheme is given for solving a quasilinear singularly perturbed two-point boundary value problem with a turning point. The method uses non-equidistant discretization meshes. The solution of the scheme is shown to be first order accurate in the discrete L￣∞ norm, uniformly in the perturbation parameter.
