在无线通信网络干扰建模中,常规方式对有限任意形状区域的干扰信号模型推导有一定困难。文章研究了如何将干扰分布区域推广至有限任意形状,利用环形区域干扰的Middleton Class A模型的对数特征函数,得到有限任意形状区域干扰的对数特征...在无线通信网络干扰建模中,常规方式对有限任意形状区域的干扰信号模型推导有一定困难。文章研究了如何将干扰分布区域推广至有限任意形状,利用环形区域干扰的Middleton Class A模型的对数特征函数,得到有限任意形状区域干扰的对数特征函数一般表示形式,并应用于铁路场景干扰建模问题,得到了干扰信号的对数特征函数和概率密度函数。仿真结果表明,所得对数特征函数结构以及由此得出的高速铁路场景干扰信号模型具有较好的适用性。展开更多
In this paper, the squared eigenfunction symmetries for the BTL and CTL hierarchies are expficitly constructed with the suitable modification of the ones for the TL hierarchy, by considering the BTL and GTL constraint...In this paper, the squared eigenfunction symmetries for the BTL and CTL hierarchies are expficitly constructed with the suitable modification of the ones for the TL hierarchy, by considering the BTL and GTL constraints. Also the connections with the corresponding additional symmetries are investigated： the squared eigenfunction symmetry generated by the wave function can be viewed as the generating function for the additional symmetries.展开更多
t The authors consider the problem of conformally deforming a metric such that the k-curvature defined by an elementary symmetric function of the eigenvalues of the Bakry-Emery Ricci tensor on a compact manifold with ...t The authors consider the problem of conformally deforming a metric such that the k-curvature defined by an elementary symmetric function of the eigenvalues of the Bakry-Emery Ricci tensor on a compact manifold with boundary to a prescribed function. A consequence of our main result is that there exists a complete metric such that the Monge-Amp^re type equation with respect to its Bakry-Emery Ricci tensor is solvable, provided that the initial Bakry-Emery Ricci tensor belongs to a negative convex cone.展开更多
文摘在无线通信网络干扰建模中,常规方式对有限任意形状区域的干扰信号模型推导有一定困难。文章研究了如何将干扰分布区域推广至有限任意形状,利用环形区域干扰的Middleton Class A模型的对数特征函数,得到有限任意形状区域干扰的对数特征函数一般表示形式,并应用于铁路场景干扰建模问题,得到了干扰信号的对数特征函数和概率密度函数。仿真结果表明,所得对数特征函数结构以及由此得出的高速铁路场景干扰信号模型具有较好的适用性。
基金Supported by National Natural Science Foundation of China under Grant No. 11226196the Fundamental Research Funds for the Central Universities under Grant No. 2012QNA45
文摘In this paper, the squared eigenfunction symmetries for the BTL and CTL hierarchies are expficitly constructed with the suitable modification of the ones for the TL hierarchy, by considering the BTL and GTL constraints. Also the connections with the corresponding additional symmetries are investigated： the squared eigenfunction symmetry generated by the wave function can be viewed as the generating function for the additional symmetries.
基金Project supported by the National Natural Science Foundation of China(Nos.10831008,11131007)
文摘t The authors consider the problem of conformally deforming a metric such that the k-curvature defined by an elementary symmetric function of the eigenvalues of the Bakry-Emery Ricci tensor on a compact manifold with boundary to a prescribed function. A consequence of our main result is that there exists a complete metric such that the Monge-Amp^re type equation with respect to its Bakry-Emery Ricci tensor is solvable, provided that the initial Bakry-Emery Ricci tensor belongs to a negative convex cone.
