极化

In this dissertation, based on the extraction of meaningful polarization information, the polarimetric speckle reduction, polarimetric contrast enhancement, polarimetric classification and ship detection in polarimetric SAR images are systemically studied. During the study, some new concepts and methods are introduced, which are supported by the application to measured Pol-SAR data. The innovations of this dissertation are as follows: 1 A simplified schem is proposed to reduce the complexity of scattering-model-based speckle filtering. 2 Extend the expression of polarimetric correlation coefficient to help distinguishing targets. In addition, introduce the quantized parameters of polarimetric signature so as to show the differentiae in quantity in co-polar power, cross-polar power and shapes of polarization signatures among targets. 3 Define a new parameter of difference degree between targets, which can be used for express the difference between both coherent and distributed scatters.

论文在较系统的研究目标特征量提取方法和特征量所包含的物理意义的基础上，对极化SAR图像降斑、极化对比增强、极化SAR图像分类以及极化SAR图像中海上舰船目标检测等方面进行了研究，并提出了一些新的概念和方法，对实测数据的处理结果表明，这些新的概念和方法对于极化SAR信息处理是有效的，本文的主要创新成果包括以下方面： 1）针对基于预分类的MMSE极化降斑方法实现过程非常复杂的问题，提出了简化方案，并验证了方案的有效性； 2）扩展了极化相关系数的表示方法，这种扩展增强了极化相关系数对目标的区分效果；另外还提出了极化特征图量化参数，可以从量上表征不同目标间相同极化和交叉极化的回波功率差异和极化特征图形状差异； 3）定义了目标间的差异度参数，它不仅可以用于描述相干目标，还可以用于描述分布目标的差别程度。

All above laid a foundation for the research of polarimetric information processing and application. Then, target optimum polarization and polarimetric synthesis technique were studied. By constraining polarimetric states of transmitting and receiving antennas, co-polarized and cross-polarized signatures were obtained. Because the received wave was partially polarized, completely polarized, completely unpolarized, and total available power signatures were defined based on the power of the return wave.

接着，论文深入研究了目标最佳极化和极化合成技术，通过约束收发天线的极化状态可以得到共极化特征图和交叉极化特征图，由于雷达接收的电磁波通常是部分极化的，根据接收波的平均功率密度可以得到未极化特征图、完全极化特征图和匹配极化特征图，在极化特征图空间中搜索可以很容易地获得目标的最佳极化，这些目标最佳极化可以作为极化目标识别和分类的极化特征。

In this chapter, three kinds of target recognition methods are performed, which are:①Target recognition method based on the description of polarization parameter plane. The echo polarization states of target are projected onto the polarization state plane described by the ellipticity ε and the tilt angle τ of the polarization ellipse, the change of parameter following ferquency becomes the chart. According to the changing trait of the chart, the multidimensional polarization feature space of target has been contructed. Furthermore, a series of polarization feature parameters used in designing the structure of target recognition device are extracted, and they are insensible to the posture of target.②Target recognition method based on the description of Poincare polarization sphere. The echo polarization states of target expressed by Stokes vector are projected onto the Poincare polarization sphere. The conception of polarization ferquency stability, which is used in describing the dynamic distribution characteristics of the target echo polarization states on Poincare polarization sphere, has been defined. A group of polarization feature parameters used in designing the structure of target recognition device are extracted, and they are insensible to the posture of target.③Target recognition method based on the description of frequency sensitivity. In accordance with the conception of the polarization state distance defined on Poincare polarization sphere, the frequency sensibility of the physical structure property of target has been investigated, the frequency distribution feature curves in PSD domain are obtained, and targets'features are extracted by means of the curve-fitting method with Least Square Criterion.

这章具体研究了基于三种极化散射特性描述的相应的目标识别方法：①基于极化参数平面描述的目标识别方法，将目标回波极化状态投影到以极化椭圆参数，即椭圆率角ε和倾角τ表征的极化状态平面上，参数随观测频率的变化就形成了图，根据图的变化特点构造了目标的多维极化特征空间，并提取了不敏感目标姿态变化的极化特征参数组来设计目标的识别器结构；②基于Poincare极化球面描述的目标识别方法，采用Stokes矢量表征目标回波的极化状态，并将其投影到描述极化状态的Poincare极化球面上，定义了极化频率稳定度的概念用以刻画目标回波极化状态在Poincare极化球面上的动态分布信息，提取了准方位不变性的目标极化特征，最后设计了目标的识别器结构；③基于频率敏感性描述的目标识别方法，通过在Poincare极化球面上所定义的极化状态距离的概念，研究的是复杂目标物理结构特性对探测信号频率的敏感程度问题，获得了在极化状态距离下的频率分布特性曲线，采用最小二乘估计曲线拟合方法，它既用于极化特征的降维，同时又直接将拟合参数作为目标的分类特征。

The thesis consists of six chapters. In the first, the technologies of atomic force microscopy and of the measurement elasticity of biomolecules were introduced. In the second, the validity of VSPFM was confirmed by lift mode atomic force microscopy. In this chapter, the height of DNA was measured by lift mode atomic force microscopy, which demonstrated that the method of height measurement of biomolecules by VSPFM was correct and established the foundation of the method of measurement elasticity of biomolecules by vibrating mode scanning polarization force microscopy. In the third chapter, detailed work has been illustrated on the foundation of the method of measurement elasticity of biomolecules by VSPFM. And the compressive elasticity of DNA was measured. In fourth and fifth chapters, the method was applied in the measurement elasticity of proteins. Two proteins elasticity, fibre-like protein α-synuclein and global protein IgG, were measured by VSPFM, through which the method wound its way to the application of biomolecules. In last chapter, the final part of the thesis was a summary. A conclusion of the thesis and a self-comment on my work as a PhD candidate have been made, and expectation about the further works has been addressed.

本论文共分为六章，第一章，引言部分主要介绍了原子力显微镜技术及生物大分子弹性测量技术；第二章主要是VSPFM方法的正确性论证，介绍抬高模式原理，利用抬高模式原子力显微镜对DNA的高度进行测量，论证振动模式扫描极化力显微镜测量生物大分子的高度的正确性以及准确性，从而为振动模式扫描极化力显微镜测量生物大分子的弹性方法的建立奠定基础；第三章以脱氧核糖核酸为例详细介绍了振动模式极化力显微镜测量生物大分子弹性的方法的建立，对DNA的压弹性进行了初步的测量和分析；第四章和第五章介绍了振动模式扫描极化力显微镜在蛋白质弹性测量中的应用：α-synuclein和IgG分别是纤维状蛋白和球状颗粒蛋白，通过振动模式扫描极化力显微镜测量这两种蛋白质的弹性，摸索振动模式扫描极化力显微镜在蛋白质弹性测量中的应用；第六章对全文进行了总结，在对论文的工作进行归纳和自我评价之后，还对进一步的工作进行了展望。

Considering the speciality of the principal reciprocal susceptibility in trigonal boracite, the experiment scheme on the measurement of the principal reciprocal susceptibility components is presented. On the basis of Curie principle, the order parameter of the antiferroelectric phase transition is investigated by taking crystal PZT, crystal SrTiO〓 and the antiferroelectric models of simple cubic lattice as examples.

针对五种特殊的具有铁电三方相的方硼盐，计算出了其铁电三方相的自发极化强度、居里温度和主倒极化率等，发现自发极化在居里点有跃变；沿极化方向的倒极化率分量是连续的，然而垂直于极化方向的倒极化率分量不连续，这是一个非常有趣的现象。

On the other hand, with the purpose of fuzzy feature extraction and fuzzy classification device design, the undulatory property of maximum and minimum scattering power corresponding respectively to the maximum and minimum eigen-polarization has been investigated in frequency domain. Furthermore, the anisotropy polarization degree of target, which is determined by both maximum and minimum scattering power of target, has been studied; meanwhile, the dynamic changing characteristic of eigen-polarization on Poincare polarization sphere has been investigated by means of the conception of polarization frequency stability, the research result shows that PSD value has a big jump near π, forming a sharp pulse, and different target has their individual distribution property of PSD pulse.

另外，围绕目标模糊特征提取及模糊分类器的设计，研究了目标最大、最小本征极化所对应的目标最大、最小散射能量随观测频率的起伏特性，考察了由目标最大、最小散射能量共同决定的目标的各向异性极化程度；同时，采用极化频率稳定度的概念，研究了本征极化在Poincare极化球面上的动态变化特性，在最大、最小散射能量相等的频率点上，PSD曲线呈现为幅度接近π值的尖锐脉冲，反映了目标极化散射结构对这一频率跳变极为敏感，但不同目标的这种PSD曲线特征又有很大的不同。

Therefore, the uplink cross-pol interference that we meet is normally caused by the polarization angle mismatch of ground transmitting antennas, or serious overdriven of the uplink power at cross-polarization. And the downlink cross-pol interference is normally caused by the polarization angle mismatch of ground receiving antennas.

因此，常见的反极化干扰通常为，因反极化地面发送天线的极化角失配、或因反极化载波的上行功率严重超标而产生的上行反极化干扰，以及因地面接收天线的极化角失配而产生的下行反极化干扰。

Therefore, it has the important scientific research value in studying the relationship between the changing of the parameters (including the temperature, the humidity, the grain radius and so on) and the electricity and radioactivity of the medium. Applied the count statistics and the numeral value analysis, the paper analyzes, concludes and contrasts the data sufficiently through the experimentation, and acquires the following results that the resistivity and the polarizability both have the negative relationship with the temperature variety of medium from 0℃ to 200 ℃. The parallactic poalarizability is consistent with the temperature variety in the plan as well as the section, but their trends are exactly opposite. Power supply voltage has no considerable influence to the resistivity and polarizability by using duality variance analysis, however, the detecting depth and the plan position influence them greatly. Different AB/2 interval that increases by degree does not influence variance and the average value of the resistivity and the polarizability remarkably. By using the least double multiplication, the relationship of temperature-time-the influence radius of the fire source is carried up by the mathematic drawing up. After discussing their correl ation, I educe the influence radius of the fire source and carry out the 'trend analysis and forecast to the spacial changing of the temperature and the parallactic polarizability in the end.

本文通过试验并应用数理统计和数值分析等相关理论对所得到的试验数据进行了分析、归纳和对比，得出了介质温度变化在0-200℃内视电阻率和视极化率与温度均表现为负相关性；视极化率与温度在剖面和平面上的变化形态具有很好的一致性，但变化趋势相反；由二元方差分析可得供电电压对视电阻率和视极化率无显著影响，但探测深度和平面位置对视电阻率和视极化率有显著影响；通过假设检验可证不同AB／2递增间隔，对视电阻率和视极化率的方差和平均数影响都无显著性差异；应用最小二乘法对温度——时间——火源影响半径之间的关系进行了数学拟合，讨论了它们之间的相互关系，得出了火源影响的有效半径，太原理工大学硕士研究生学位论文并对温度和视极化率的空间变化作了趋势分析和预测。

In the fifth chapter,we study dipolarizations in some quadratic Lie algebras.Inthe first section,we obtain some results on the classification of dipolarizations in gen-eral quadratic Lie algebras,and prove that there exist dipolarizations in the solvablequadratic Lie algebras whose Cartan subalgebras consist of semisimple elements.

第五章讨论了某些二次李代数的双极化，在第一节中，我们给出了二次李代数的双极化的一些分类结果；特别证明Cartan子代数是由半单元组成的二次李代数上存在双极化，第二节确定了四维扩张Heisenberg代数的所有双极化，在第三节中，我们构造了2n+2维扩张Heisenberg代数的六类双极化，我们发现两个不同于半单李代数情形的有趣事实：（1）在扩张Heisenberg代数上同时存在对称和非对称双极化；（2）对应于扩张Heisenberg代数的双极化的特征元有的是半单的有的是幂零的。

Binary linear polarization is used by all Chinese communication satellites, and binary circular (right-hand and left-hand) polarization is often used by some IntelSat and some Russian satellites in C-band.

中国通信卫星都采用由垂直极化和水平极化构成的双线极化频率复用方式，国际卫星组织和俄罗斯的一些C频段卫星则采用由左旋极化和右旋极化构成的双圆极化频率复用方式。

On the other hand, the more important thing is because the urban housing is a kind of heterogeneity products.

另一方面，更重要的是由于城市住房是一种异质性产品。

Climate histogram is the fall that collects place measure calm value, cent serves as cross axle for a few equal interval, the area that the frequency that the value appears according to place is accumulated and becomes will be determined inside each interval, discharge the graph that rise with post, also be called histogram.

气候直方图是将所收集的降水量测定值，分为几个相等的区间作为横轴，并将各区间内所测定值依所出现的次数累积而成的面积，用柱子排起来的图形，也叫做柱状图。