概率假设密度滤波的物理空间意义

为了深入理解概率假设密度滤波,本文在Ozgur Erdinc对随机集的物理空间假设的基础上,采用Bayes公式和全概率公式对概率假设密度滤波的迭代过程进行了推导.为有效改善概率假设密度滤波的目标漏检问题提供了理论基础.     

基于概率假设密度滤波平滑器的检测前跟踪算法

基于概率假设密度滤波(PHD)的检测前跟踪(TBD)技术可以有效解决未知弱小多目标检测问题。PHD-TBD算法粒子权重计算受量测噪声影响明显,导致目标数估计存在起伏现象,制约了PHD-TBD算法性能。对PHD-TBD技术进行研究,引进概率假设密度滤波平滑器,提出基于平滑的PHD-TBD算法。该算法对当前帧目标数估计时,综合利用前向递推和后向平滑结果对粒子权重进行更新,在一定程度上克服了随机量测噪声的影响。通过仿真验证,该算法能够有效发现目标,准确估计目标数目和位置,性能有较大提高。     

基于概率假设密度滤波的中段弹道目标群红外多传感器组跟踪方法

分析低轨光学星座对中段弹道目标群进行组跟踪的必要性,提出了一种红外多传感器对中段弹道目标群的组跟踪新方法.该方法以概率假设密度滤波对目标群进行像平面跟踪,剔除杂波、估计目标状态和个数;以图像配准方法调整帧间目标状态估计,提高像平面目标跟踪稳定性;最后依据像平面目标跟踪结果提取目标群在像平面的质心量测,运用不敏卡尔曼滤波...     

基于概率假设密度的无线传感器网络多目标跟踪算法

针对无线传感器网络多目标跟踪过程中杂波难以去除以及由数据关联复杂带来的计算复杂度高的问题,将概率假设密度滤波器应用于无线传感器网络,以更好地对多目标状态信息进行融合估计;首先,建立簇-树型无线传感器网络模型,并运用随机有限集理论对目标状态模型和传感器观测模型进行描述;然后,根据目标与节点之间的距离设置观测阈值,当传感器节点测量值小于观测阈值时,概率假设密度滤波器将实时对该组测量数据进行处理,从而实现传感器网络对目标状态的联合检测与跟踪;仿真结果表明,在无线传感器网络的多目标跟踪应用中,该算法比粒子滤波算法具有更高的跟踪效率和精度。     

基于高斯混合概率假设滤波的水下目标跟踪算法

为了解决传统水下目标跟踪中目标数目估计不准确、状态估计误差增长过快的问题,提出了一种基于高斯混合概率假设滤波的水下目标跟踪算法。该算法基于双基地观测模型,采用高斯混合概率假设滤波算法处理方位和时延信息,利用粒子群算法处理多普勒频率获得矢量速度,进一步提升算法的跟踪精度。结果表明,该算法能完成在杂波环境下对目标的跟踪,相比传统的关联算法,能够有效地实现目标个数估计和抑制状态误差增长的目的。     

基于小波概率估计的图像融合方法研究

在研究了已有的图像融合方法后,提出基于小波变换和最大似然概率估计(MLE)相综合的融合方法,利用概率估计融合模型,首先对不同的传感器图像进行小波分解,然后对相应的子带求解仿射变换参数,根据Bayes规则进行最大后验概率似然估计,得到估计子带系数,最后通过小波反变换得到融合图像.在仿射变换的假设条件下定义融合规则,更适合传感器图像具有局部相反对比度的情况,采用此方法对航空可见光图像和红外图像进行融合实验,其结果与采用其它方法进行了对比,表明该方法的有效性.     

Hamaker均质材料假设修正

Hamaker三个假设条件是用连续方法解离散问题的理论基础.根据Hamaker三个假设条件，利用连续方法计算两个原子之间的相互作用力，发现作用力同经典的Lennard-Jones势所反映的作用力不一致.通过分析得出Hamaker均质材料假设条件仅适用于微观物质间距较大的范围以及数字密度随间距变化的结论；推导出数字密度随间距变化的表达式，修正了Hamaker提出的用连续方法计算微观物质间相互作用力的表达式.最后对Hamaker常数进行分析，得出Hamaker常数本身就是随物质间距变化的结论，从而对目前存在的 关键词： Hamaker假设 数字密度 Hamaker常数 Lennard-Jones势     

自洽半经典方法与有限温度微观光学势——Ⅰ.实部

从扩展Skyrme力出发,利用自洽半经典(Scsc)方法确定了热核~(40)Ca和~(208)Pb的核子密度_(ρq)(q=n,p);由核物质近似及定域密度近似(LDA)推导了有限温度微观光学势的计算公式.利用这些公式及上述密度,具体计算了不同能量和温度下的核子-核光学势.这样得到的光学势是完全自洽和微观的,并且较完整地考虑了温度对光学势的影响.本文仅讨论光学势的实部.     

负电子亲和势光电阴极量子效率公式的修正

量子效率是表征负电子亲和势（NEA）光电阴极发射性能的最重要的特性参数,准确建立量子效率公式为揭示各个阴极参量对整体性能的影响以及NEA光电阴极的优化设计提供了重要的理论指导.在对NEA光电阴极体内及表面光电发射过程的分析基础上,考虑入射光子能量、表面能带弯曲区以及表面势垒对电子发射的影响,对表面逸出概率和电子衰减长度进行了修正,并利用积分法推导了NEA光电阴极的量子效率公式,其理论预测曲线与实验曲线基本一致,从而验证了修正公式的实用性.为NEA光电阴极的研究提供了有效的理论参考依据. 关键词： 负电子亲和势光电阴极 量子效率 能带弯曲区 衰减长度     

区间衍生粒子滤波器

针对非线性、非高斯环境下具有不确定动态模型参数的系统状态估计问题,提出了一种新颖的区间衍生粒子滤波算法.该算法利用区间滤波生成的重要性密度函数,在系统状态转移概率密度的基础上,融入最新的系统观测数据,从而提高了对系统状态后验概率的逼近程度.为了进一步提高算法的实时性,提出一种类似光子衍射的粒子衍生过程,进而缓解了滤波精度与运算量之间的矛盾.通过陀螺/星敏感器组合定姿问题验证了该算法的有效性和鲁棒性.     

Passive Tracking of Multiple Underwater Targets in Incomplete Detection and Clutter Environment

A major advantage of the use of passive sonar in the tracking multiple underwater targets is that they can be kept covert, which reduces the risk of being attacked. However, the nonlinearity of the passive Doppler and bearing measurements, the range unobservability problem, and the complexity of data association between measurements and targets make the problem of underwater passive multiple target tracking challenging. To deal with these problems, the cardinalized probability hypothesis density (CPHD) recursion, which is based on Bayesian information theory, is developed to handle the data association uncertainty, and to acquire existing targets’ numbers and states (e.g., position and velocity). The key idea of the CPHD recursion is to simultaneously estimate the targets’ intensity and the probability distribution of the number of targets. The CPHD recursion is the first moment approximation of the Bayesian multiple targets filter, which avoids the data association procedure between the targets and measurements including clutter. The Bayesian-filter-based extended Kalman filter (EKF) is applied to deal with the nonlinear bearing and Doppler measurements. The experimental results show that the EKF-based CPHD recursion works well in the underwater passive multiple target tracking system in cluttered and noisy environments.     

目标机动未知下的有源声呐跟踪滤波方法

为解决由有源声呐测量误差而引入的目标机动判决模糊问题,提出了基于延迟机动检测的跟踪滤波算法。利用多假设跟踪方法,在目标机动检测模糊时,生成匀速及机动的两种目标运动假设以延迟最终的决策时间,基于残差序列构造假设检验统计量,实施序列似然比检验并融合强跟踪滤波器和Kalman滤波器的优点,提高了有源声呐对先验信息未知目标的跟踪能力。通过仿真分析表明,该算法不仅能够精确的跟踪匀速运动目标,而且能够稳定的跟踪机动目标。海试数据处理进一步验证了算法跟踪真实水声目标的有效性。      

A tracking filter method of active sonar subject to unknown target maneuver

A tracking filter algorithm based on the maneuvering detection delay is presented in order to solve the fuzzy problem of target maneuver decision introduced by the measure?ment errors of active sonar. When the maneuvering detection is unclear, two target moving hypotheses, the uniform and the maneuver, derived from the method of multiple hypothesis tracking, are generated to delay the final decision time. Then the hypothesis test statistics is constructed by using the residual sequence. The active sonar?s tracking ability of unknown prior information targets is improved due to the modified sequential probability ratio test and the integration of the advantages of strong tracking filter and the Kalman filter. Simulation results show that the algorithm is able to not only track the uniform targets accurately, but also track the maneuvering targets steadily. The effectiveness of the algorithm for real underwater acoustic targets is further verified by the sea trial data processing results.     

水下目标多平台协同定位和跟踪方法

提出了一种融合多平台方位观测数据的水下声学目标定位跟踪方法。该方法采用多级多假设跟踪对目标状态进行滤波和关联,第一级基于每个平台波束域检测结果独立使用多假设跟踪方法对目标方位角进行初级跟踪;第二级首先通过多平台联合似然概率估计多目标初始位置,再用多假设跟踪方法对不同平台初级跟踪的方位角航迹进行关联,最后通过关联的角度值和扩展卡尔曼滤波对多目标位置进行序贯估计。仿真结果证明,该方法能以更少计算量实现更优定位性能,优于单级多假设跟踪方法.海试数据处理结果表明,存在较多干扰的情况下,单级方法跟踪过程中丢失目标,而多级方法实现了对目标的全程跟踪,且收敛后定位误差在70m内。该方法可降低噪声干扰对数据关联及目标定位的影响,并通过多平台协同消除线阵的方位模糊,适用于移动多平台声学目标定位和跟踪场景。      

Non-equilibrium thermodynamic potential and flux fluctuation theorem

A flux fluctuation theorem proposed recently [Seitaridou, et al., J. Phys. Chem. B 111 (2007) 2288] on the relative probability of direct and reverse diffusion fluxes in a non-equilibrium steady state is related here to a non-equilibrium thermodynamic potential used in extended irreversible thermodynamics. This connection allows one to provide a new derivation of the theorem, which complements the previous one, to generalize it to other fluxes, and illustrates the thermodynamic relevance of this theorem.     

Resilient quantum computation in correlated environments: a quantum phase transition perspective

We analyze the problem of a quantum computer in a correlated environment protected from decoherence by quantum error correction using a perturbative renormalization group approach. The scaling equation obtained reflects the competition between the dimension of the computer and the scaling dimension of the correlations. For an irrelevant flow, the error probability is reduced to a stochastic form for a long time and/or a large number of qubits; thus, the traditional derivation of the threshold theorem holds for these error models. In this way, the "threshold theorem" of quantum computing is rephrased as a dimensional criterion.     

Optical theorem and Aharonov-Bohm scattering

A rigorous derivation of the optical theorem (OT) from the conservation of probability flux (CPF) is presented for scattering on an arbitrary spherically symmetric potential inN-spatial dimensions (ND). The constructed expression for the OT is found to yield the corresponding well-known results for two- and three-dimensional cases in a rather natural way. The Aharonov-Bohm (AB) effect is considered as a scattering event of an electron by a magnetic field confined in an infinitely long shielded solenoid and a similar derivation is attempted for an appropriate optical theorem. Our current understanding of the scattering theory is found to be inadequate for the purpose. The reason for this is discussed in some detail.