利用压缩感知实现运动目标的稀疏成像时,运动引起的多普勒频移会增加模型维度,改变回波的中心频率,并影响测量矩阵的互相干特性。为了改善 MIMO 雷达对运动目标的三维成像性能,提出了一种高效的成像方法,在各维分别搜索目标的分布信息,...利用压缩感知实现运动目标的稀疏成像时,运动引起的多普勒频移会增加模型维度,改变回波的中心频率,并影响测量矩阵的互相干特性。为了改善 MIMO 雷达对运动目标的三维成像性能,提出了一种高效的成像方法,在各维分别搜索目标的分布信息,并由该信息作为索引重构新的低维测量矩阵,借此缩小目标区域范围,同时基于测量矩阵的互相干性,应用贝叶斯方法实现多普勒维度投影矩阵的优化,降低多普勒频率采样带来的强相干性,实现高效稀疏成像。仿真结果表明,所提方法可以明显地提升运算效率,具有高效精确的成像性能。展开更多
A kind of predator-prey system of Holling typeⅡand interaction perturbation with impulsive effect is presented.By using Floquet theory and small amplitude perturbations skills,the locally asymptotical stability of pr...A kind of predator-prey system of Holling typeⅡand interaction perturbation with impulsive effect is presented.By using Floquet theory and small amplitude perturbations skills,the locally asymptotical stability of prey-eradication periodic solution and the permanence of the system are discussed and the corresponding threshold conditions are given respectively.Finally,the existence of positive periodic solution is investigated by the bifurcation theory.展开更多
We find that a kind of atomic coherent state, formed as exp[ ξJ+-ξJ-]|00〉,when the SU(2) generators J± are taken as Fan's form J+=(1/2)(α1-α2)(α1-α2),J-=(1/2)(α1+α2)(α1+α2),and J0=...We find that a kind of atomic coherent state, formed as exp[ ξJ+-ξJ-]|00〉,when the SU(2) generators J± are taken as Fan's form J+=(1/2)(α1-α2)(α1-α2),J-=(1/2)(α1+α2)(α1+α2),and J0=(1/2)(α1α2-α1α2),is simultaneously a two-mode squeezed state. We analyse this squeezed state's physical properites, such as the cross- correlation function, the Wigner function, and its marginal distribution as well as the Husimi function.展开更多
The effects from quantum coherence via decays and incoherent pumping on the lasing without inversion(LWI) are investigated in a four-level system.By analyzing the transient and steady-state behaviors of the absorption...The effects from quantum coherence via decays and incoherent pumping on the lasing without inversion(LWI) are investigated in a four-level system.By analyzing the transient and steady-state behaviors of the absorption,we find that the gain occurs when both spontaneously generated coherence(SGC) and coherence induced by incoherent pumping(IPC) are considered.We attribute the occurrence of the gain to the interaction of quantum coherence via decays and incoherent pumping.展开更多
In this paper, a periodic Volterra model with mutual interference and impulsive effect is proposed and analyzed. By applying the Floquet theory of impulsive differential equa- tion, some conditions are obtained for th...In this paper, a periodic Volterra model with mutual interference and impulsive effect is proposed and analyzed. By applying the Floquet theory of impulsive differential equa- tion, some conditions are obtained for the linear stability of semi-trivial periodic solution. Some sufficient conditions are also given for the permanence of the system. Further, stan- dard bifurcation theory is used to show the existence of coexistence state which arises near the semi-trivial periodic solution. Finally, theoretical results are confirmed by some special cases of the system.展开更多
文摘利用压缩感知实现运动目标的稀疏成像时,运动引起的多普勒频移会增加模型维度,改变回波的中心频率,并影响测量矩阵的互相干特性。为了改善 MIMO 雷达对运动目标的三维成像性能,提出了一种高效的成像方法,在各维分别搜索目标的分布信息,并由该信息作为索引重构新的低维测量矩阵,借此缩小目标区域范围,同时基于测量矩阵的互相干性,应用贝叶斯方法实现多普勒维度投影矩阵的优化,降低多普勒频率采样带来的强相干性,实现高效稀疏成像。仿真结果表明,所提方法可以明显地提升运算效率,具有高效精确的成像性能。
基金Foundation item: Supported by the National Natural Science Foundation of China(10771179) Supported by the Natural Science Foundation of the Education Department Henan Province(2007110028)
文摘A kind of predator-prey system of Holling typeⅡand interaction perturbation with impulsive effect is presented.By using Floquet theory and small amplitude perturbations skills,the locally asymptotical stability of prey-eradication periodic solution and the permanence of the system are discussed and the corresponding threshold conditions are given respectively.Finally,the existence of positive periodic solution is investigated by the bifurcation theory.
文摘We find that a kind of atomic coherent state, formed as exp[ ξJ+-ξJ-]|00〉,when the SU(2) generators J± are taken as Fan's form J+=(1/2)(α1-α2)(α1-α2),J-=(1/2)(α1+α2)(α1+α2),and J0=(1/2)(α1α2-α1α2),is simultaneously a two-mode squeezed state. We analyse this squeezed state's physical properites, such as the cross- correlation function, the Wigner function, and its marginal distribution as well as the Husimi function.
基金Supported by National Natural Science Foundation of China under Grant Nos. 10904015,11074036,and 11004030
文摘The effects from quantum coherence via decays and incoherent pumping on the lasing without inversion(LWI) are investigated in a four-level system.By analyzing the transient and steady-state behaviors of the absorption,we find that the gain occurs when both spontaneously generated coherence(SGC) and coherence induced by incoherent pumping(IPC) are considered.We attribute the occurrence of the gain to the interaction of quantum coherence via decays and incoherent pumping.
文摘In this paper, a periodic Volterra model with mutual interference and impulsive effect is proposed and analyzed. By applying the Floquet theory of impulsive differential equa- tion, some conditions are obtained for the linear stability of semi-trivial periodic solution. Some sufficient conditions are also given for the permanence of the system. Further, stan- dard bifurcation theory is used to show the existence of coexistence state which arises near the semi-trivial periodic solution. Finally, theoretical results are confirmed by some special cases of the system.