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
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.
