To conveniently calculate the Wigner function of the optical cumulant operator and its dissipation evolution in a thermal environment, in this paper, the thermo-entangled state representation is introduced to derive t...To conveniently calculate the Wigner function of the optical cumulant operator and its dissipation evolution in a thermal environment, in this paper, the thermo-entangled state representation is introduced to derive the general evolution formula of the Wigner function, and its relation to Weyl correspondence is also discussed. The method of integration within the ordered product of operators is essential to our discussion.展开更多
针对已有Radon-Wigner变换(RWT)对线性调频连续波(linear frequency modulated continuous wave,LFMCW)雷达目标加速度估计计算复杂高、精度低的问题,提出了一种改进的RWT算法。该算法通过熵值法得到加速度的粗估计,对RWT结果求二阶原...针对已有Radon-Wigner变换(RWT)对线性调频连续波(linear frequency modulated continuous wave,LFMCW)雷达目标加速度估计计算复杂高、精度低的问题,提出了一种改进的RWT算法。该算法通过熵值法得到加速度的粗估计,对RWT结果求二阶原点矩减小搜索计算量,并且提出了RWT插值方法,将其应用到迭代RWT中用于提高加速度估计精度。实验结果表明,该算法在低信噪比的情况下可以准确检测出匀加速微弱目标,计算量较小且精度较高。展开更多
It is not generally known that the inequality that Bell derived using three random variables must be identically satisfied by any three corresponding data sets of ±1’s that are writable on paper. This surprising...It is not generally known that the inequality that Bell derived using three random variables must be identically satisfied by any three corresponding data sets of ±1’s that are writable on paper. This surprising fact is not immediately obvious from Bell’s inequality derivation based on causal random variables, but follows immediately if the same mathematical operations are applied to finite data sets. For laboratory data, the inequality is identically satisfied as a fact of pure algebra, and its satisfaction is independent of whether the processes generating the data are local, non-local, deterministic, random, or nonsensical. It follows that if predicted correlations violate the inequality, they represent no three cross-correlated data sets that can exist, or can be generated from valid probability models. Reported data that violate the inequality consist of probabilistically independent data-pairs and are thus inconsistent with inequality derivation. In the case of random variables as Bell assumed, the correlations in the inequality may be expressed in terms of the probabilities that give rise to them. A new inequality is then produced: The Wigner inequality, that must be satisfied by quantum mechanical probabilities in the case of Bell experiments. If that were not the case, predicted quantum probabilities and correlations would be inconsistent with basic algebra.展开更多
根据Wigner-Hough变换思想和广义似然比检验理论,分析了双门限情况下线性调频信号的检测性能,给出了虚警概率和检测概率的数学表达式,该表达式是Hough变换的积累单元数和检测门限的函数,然后对概率密度函数进行了合理近似,并给出了Houg...根据Wigner-Hough变换思想和广义似然比检验理论,分析了双门限情况下线性调频信号的检测性能,给出了虚警概率和检测概率的数学表达式,该表达式是Hough变换的积累单元数和检测门限的函数,然后对概率密度函数进行了合理近似,并给出了Hough变换的积累单元数计算公式,最后的计算机仿真比较了傅立叶变换和Wigner-Hough变换的LFM(Linear Frequency Modulated)信号检测性能和基于Wigner-Hough变换的不同目标起伏类型的LFM信号检测性能.展开更多
Radon- Wigner变换是一种直线积分的投影变换 ,它对多分量 L FM信号提供了较好的时频局域性 ,从而有利于多分量 L FM信号的解释和分析 .通过时域解线调和频域解线调处理可以完整地在时频平面计算出 Radon变换 .对于多分量 L FM信号的分...Radon- Wigner变换是一种直线积分的投影变换 ,它对多分量 L FM信号提供了较好的时频局域性 ,从而有利于多分量 L FM信号的解释和分析 .通过时域解线调和频域解线调处理可以完整地在时频平面计算出 Radon变换 .对于多分量 L FM信号的分析好于 Wigner- Ville变换等常用的时频变换 .展开更多
基金Project supported by the Foundation for Young Talents in College of Anhui Province, China (Grant Nos. gxyq2021210 and gxyq2019077)the Natural Science Foundation of the Anhui Higher Education Institutions, China (Grant Nos. 2022AH051580 and 2022AH051586)。
文摘To conveniently calculate the Wigner function of the optical cumulant operator and its dissipation evolution in a thermal environment, in this paper, the thermo-entangled state representation is introduced to derive the general evolution formula of the Wigner function, and its relation to Weyl correspondence is also discussed. The method of integration within the ordered product of operators is essential to our discussion.
文摘针对已有Radon-Wigner变换(RWT)对线性调频连续波(linear frequency modulated continuous wave,LFMCW)雷达目标加速度估计计算复杂高、精度低的问题,提出了一种改进的RWT算法。该算法通过熵值法得到加速度的粗估计,对RWT结果求二阶原点矩减小搜索计算量,并且提出了RWT插值方法,将其应用到迭代RWT中用于提高加速度估计精度。实验结果表明,该算法在低信噪比的情况下可以准确检测出匀加速微弱目标,计算量较小且精度较高。
文摘It is not generally known that the inequality that Bell derived using three random variables must be identically satisfied by any three corresponding data sets of ±1’s that are writable on paper. This surprising fact is not immediately obvious from Bell’s inequality derivation based on causal random variables, but follows immediately if the same mathematical operations are applied to finite data sets. For laboratory data, the inequality is identically satisfied as a fact of pure algebra, and its satisfaction is independent of whether the processes generating the data are local, non-local, deterministic, random, or nonsensical. It follows that if predicted correlations violate the inequality, they represent no three cross-correlated data sets that can exist, or can be generated from valid probability models. Reported data that violate the inequality consist of probabilistically independent data-pairs and are thus inconsistent with inequality derivation. In the case of random variables as Bell assumed, the correlations in the inequality may be expressed in terms of the probabilities that give rise to them. A new inequality is then produced: The Wigner inequality, that must be satisfied by quantum mechanical probabilities in the case of Bell experiments. If that were not the case, predicted quantum probabilities and correlations would be inconsistent with basic algebra.
文摘根据Wigner-Hough变换思想和广义似然比检验理论,分析了双门限情况下线性调频信号的检测性能,给出了虚警概率和检测概率的数学表达式,该表达式是Hough变换的积累单元数和检测门限的函数,然后对概率密度函数进行了合理近似,并给出了Hough变换的积累单元数计算公式,最后的计算机仿真比较了傅立叶变换和Wigner-Hough变换的LFM(Linear Frequency Modulated)信号检测性能和基于Wigner-Hough变换的不同目标起伏类型的LFM信号检测性能.
