稀疏恢复(Sparse Recovery,SR)空时自适应信号处理(Space Time Adaptive Processing,STAP)仅需要少量的杂波样本即可有效抑制杂波,但是稀疏恢复空时自适应信号处理依赖于空时字典,当载机运动方向与天线放置方向存在偏航角时,杂波脊偏离...稀疏恢复(Sparse Recovery,SR)空时自适应信号处理(Space Time Adaptive Processing,STAP)仅需要少量的杂波样本即可有效抑制杂波,但是稀疏恢复空时自适应信号处理依赖于空时字典,当载机运动方向与天线放置方向存在偏航角时,杂波脊偏离空时字典格点,出现离格问题,从而导致杂波抑制性能下降。已有的基于l_(1)范数类的离格稀疏恢复算法在存在噪声时性能下降,没有充分利用杂波的稀疏性,文章提出一种基于l_(p)(0<p<1)范数的离格空时自适应处理算法,首先将建立基于空时字典更新的稀疏恢复空时自适应模型,然后将该模型松弛为l_(p)(0<p<1)范数的非凸优化问题,最后利用主函数最大化算法将该优化问题转化成凸优化问题,利用两层迭代求解的方法得到该问题的解,最后利用模型的解估计杂波协方差矩阵。通过仿真实验表明,提出的算法能够提高存在离格问题时的杂波恢复精度,抑制杂波的性能也优于已有的基于变分推断的算法。展开更多
Quantum coherence is a fundamental feature of quantum physics and plays a significant role in quantum information processing.By generalizing the resource theory of coherence from von Neumann measurements to positive o...Quantum coherence is a fundamental feature of quantum physics and plays a significant role in quantum information processing.By generalizing the resource theory of coherence from von Neumann measurements to positive operatorvalued measures(POVMs),POVM-based coherence measures have been proposed with respect to the relative entropy of coherence,the l_(1) norm of coherence,the robustness of coherence and the Tsallis relative entropy of coherence.We derive analytically the lower and upper bounds on these POVM-based coherence of an arbitrary given superposed pure state in terms of the POVM-based coherence of the states in superposition.Our results can be used to estimate range of quantum coherence of superposed states.Detailed examples are presented to verify our analytical bounds.展开更多
文摘稀疏恢复(Sparse Recovery,SR)空时自适应信号处理(Space Time Adaptive Processing,STAP)仅需要少量的杂波样本即可有效抑制杂波,但是稀疏恢复空时自适应信号处理依赖于空时字典,当载机运动方向与天线放置方向存在偏航角时,杂波脊偏离空时字典格点,出现离格问题,从而导致杂波抑制性能下降。已有的基于l_(1)范数类的离格稀疏恢复算法在存在噪声时性能下降,没有充分利用杂波的稀疏性,文章提出一种基于l_(p)(0<p<1)范数的离格空时自适应处理算法,首先将建立基于空时字典更新的稀疏恢复空时自适应模型,然后将该模型松弛为l_(p)(0<p<1)范数的非凸优化问题,最后利用主函数最大化算法将该优化问题转化成凸优化问题,利用两层迭代求解的方法得到该问题的解,最后利用模型的解估计杂波协方差矩阵。通过仿真实验表明,提出的算法能够提高存在离格问题时的杂波恢复精度,抑制杂波的性能也优于已有的基于变分推断的算法。
基金the National Natural Science Foundation of China(Grant Nos.12075159,12171044,and 12175147)the Natural Science Foundation of Beijing(Grant No.Z190005)+2 种基金the Academician Innovation Platform of Hainan ProvinceShenzhen Institute for Quantum Science and EngineeringSouthern University of Science and Technology(Grant No.SIQSE202001)。
文摘Quantum coherence is a fundamental feature of quantum physics and plays a significant role in quantum information processing.By generalizing the resource theory of coherence from von Neumann measurements to positive operatorvalued measures(POVMs),POVM-based coherence measures have been proposed with respect to the relative entropy of coherence,the l_(1) norm of coherence,the robustness of coherence and the Tsallis relative entropy of coherence.We derive analytically the lower and upper bounds on these POVM-based coherence of an arbitrary given superposed pure state in terms of the POVM-based coherence of the states in superposition.Our results can be used to estimate range of quantum coherence of superposed states.Detailed examples are presented to verify our analytical bounds.
