GPS载波相位整周模糊度的在航快速算法研究

提出了一种单历元初始整周模糊度在航解算方法，该方法把LAMBDA法和ARCE法的优点综合于一体，可快速准确地解算整周模糊度。对求解方法进行了详细的理论推导，最后通过实测数据验证了此方法的可行性。实验结果表明：该算法计算量小，可在一个历元内准确求解出整周模糊度，适合整周模糊度的快速动态求解，对于实现高精度动态导航定位具有很高的实用价值。     

多尺度法二义性的一种解释

多尺度法是为解决含小参数系统发展起来的应用最广泛的摄动法之一. 在求解高阶近 似方程时，多尺度法一般只求特解. 用多尺度法求解van der Pol 方程的三阶解时 将出现矛盾. 以van der Pol方程为例，证明了忽略一阶修正量中的一阶谐波 项使得混合偏导数不能交换顺序，从而导致了多尺度法的二义性和另一个数学矛盾. 在求解一阶修正量时采用含有一阶谐波项的全解，消除了二义性和该矛盾. 该 方法所求得的近似解与数值解进行了比较，结果非常吻合，验证了其合理性.     

一种消除测速模糊的梳状谱信号设计方法

相比于传统信号,梳状谱具有更好的混响抑制能力,但其容易产生多普勒测速模糊。为了解决这一问题,设计了一种新的几何梳状谱信号,通过分析测速模糊产生的原因,在传统频点计算方法的基础上,利用在信号频点计算中加入一组抗多普勒频率间隔的方法,以降低频点的重合。仿真分析证明,提出的梳状谱信号设计方法有效的减少了速度搜索时频谱重叠的程度,无论在噪声还是混响限制条件下均可以获得一个明显的输出峰值,避免了测速模糊的问题,可以获得比传统信号更好的检测性能。     

Theoretical analysis about 2π ambiguity of the piston error in sparse optical synthetic aperture imaging system

In recent years, sparse-optical-synthetic-aperture telescope has emerged as an important developing trend for large-scale telescope, where the correction of piston error among different sub-apertures plays an important role for achieving high resolution. The 2π ambiguity effect is the most important aspect of piston error's influences upon system's far-field intensity, which was theoretically analyzed at first. Then the bi-sub-aperture system was taken as an example to test the correctness of the theoretical model through distributions of the system's far-field intensity. In addition, a theoretical proof was made to get some important properties of piston errors within such kind of system. From the results, it is shown that the 2π ambiguity comes along with any piston error in the system, and this effect stands independent for different piston errors between different pair of sub-apertures. The derivation also provides effective theoretical model for related concerns within such kind of system.     

On uniqueness and selectivity in three-component parallel factor analysis

Unambiguous recovery of profiles is a distinguishable advantage of Parallel Factor Analysis (PARAFAC) as a trilinear model and has made it a promising exploratory tool for data analysis. Linear dependency in profiles destroys trilinearity and will increase ambiguity in the curve resolution of three-way data sets. PARAFAC uniqueness deteriorates totally or partially in data sets with linearly dependent loadings. Exploiting a reliable method for determination and direct visualization of feasible bands in the PARAFAC model can be helpful not only in full characterization of uniqueness conditions but also in the investigation of the effects of constraints on the PARAFAC feasible solutions. The purpose of this paper is twofold. First, the calculation of rotational ambiguity in the PARAFAC model extends to three components system. The principle behind the algorithm is described in detail and tested for simulated and real data sets. Completely general and thoroughly investigated results are presented for the three component cases. Secondly, the effects of selective regions in the profiles on the resolution of systems that suffered from the rank deficiency problem, due to rank overlap, are emphasized. In the case of two-way data sets the effect of selectivity constraint on the unique recovery of profiles was investigated and applied. However, to our knowledge, in this report, for the first time, the effect of the presence of selective windows in the profiles, on the unique resolution of three-way data sets has been systematically investigated.     

Discrete radar ambiguity problems

In this paper, we pursue the study of the radar ambiguity problem started in [Ph. Jaming, Phase retrieval techniques for radar ambiguity functions, J. Fourier Anal. Appl. 5 (1999) 313–333; G. Garrigós, Ph. Jaming, J.-B. Poly, Zéros de fonctions holomorphes et contre-exemples en théorie des radars, in: Actes des rencontres d'analyse complexe, Atlantique, Poitiers, 2000, pp. 81–104, available on http://hal.ccsd.cnrs.fr/ccsd-00007482]. More precisely, for a given function u we ask for all functions v (called ambiguity partners) such that the ambiguity functions of u and v have same modulus. In some cases, v may be given by some elementary transformation of u and is then called a trivial partner of u, otherwise we call it a strange partner. Our focus here is on two discrete versions of the problem. For the first one, we restrict the problem to functions u of the Hermite class, u=P(x)e^−x2/2, thus reducing it to an algebraic problem on polynomials. Up to some mild restriction satisfied by quasi-all and almost-all polynomials, we show that such a function has only trivial partners. The second discretization, restricting the problem to pulse type signals, reduces to a combinatorial problem on matrices of a special form. We then exploit this to obtain new examples of functions that have only trivial partners. In particular, we show that most pulse type signals have only trivial partners. Finally, we clarify the notion of trivial partner, showing that most previous counterexamples are still trivial in some restricted sense.     

长基线组合解测向模糊

在证明了多基线的相位干涉仪不产生测向模糊的充要条件后,讨论了两种用长基线组合解测向模糊的算法.通过对存在测量误差情况下正确解模糊条件的分析,提出了避免错误解模糊的方法.对两种算法的解模糊容差的比较,显示了两种方法的性能,为综合使用这两种方法提供了依据.文中的例子也有助于对多基线组合解测向模糊方法的了解.     

交叉熵——计算语言学消歧的一种工具

歧义问题的描述和消除问题是制约计算语言学发展的瓶颈问题.将交叉熵引入计算语言学消岐领域.采用语句的真实语义作为交叉熵的训练集的先验信息,将机器翻译的语义作为测试集后验信息,计算两者的交叉熵,并以交叉熵指导对歧义的辨识和消除.实例表明,该方法简洁有效,易于计算机自适应实现,交叉熵不失为计算语言学消岐的一种较为有效的工具.     

A practical inventory control policy using operational statistics

Consider the newsvendor inventory control problem with an ambiguous demand. The traditional approach of separating the parameter estimation and the maximization of the expected profit leads to a suboptimal inventory policy. Operational statistics, introduced in this paper, provides a better solution by integrating the estimation and the optimization tasks.     

不完全信息和模糊厌恶下DC型养老金最优投资策略

在信息部分可观测的金融市场中,参与者可投资于一个无风险资产、一个滚动债券和一支股票。其中,股票的预期收益率由一个服从均值-回复过程的预测因子预测。参与者是模糊厌恶的,只能观测到股票价格和利率,却无法观测到预测因子。利用滤波技术和动态规划原理,得到了不完全信息和模糊厌恶下DC型养老金最优投资策略的解析式。进一步,利用敏感性分析和比较静态分析,对比仅考虑不完全信息、仅考虑模糊厌恶以及同时考虑不完全信息和模糊厌恶三种情形下的最优投资策略。结果表明同时考虑不完全信息和模糊厌恶时的最优投资策略最保守,仅考虑不完全信息时的最优投资策略对风险厌恶系数的变化最敏感。