变换

We will strictly derive the discrete Zak transform in more general conditions and establish the relationship between the continuous and the discrete Zak transform.

一、首次给出了一般条件下的离散Zak变换及性质。本文对一般条件下的离散Zak变换进行了严格的推导，并给出了连续Zak变换和离散Zak变换的关系。

The First Law of thermodynamics and exergy analysis method were used to construct factors such as coefficient of performance , exergy efficiency and exergy index according to the AHT combined Carnot cycle model established. Aimed at the insufficient of the classical thermodynamics analysis method, the optimization relationships between the specific heating load and operating parameters, and between SHL and COP, was reasoned out using the Finite Time Thermodynamics method according to the characteristic of investment and capacity of AHT, and endo-reversible combined Carnot cycle model. Hence, the rationality of the energy utilization and the economic index, which related to the total heat transfer area, were both taken into account.

首先利用热力学第一定律分析法和〓分析方法，按照建立的吸收式热变换器理想联合卡诺模型，构建包括性能系数、热力学效率、〓效率、〓指数在内的吸收式热变换器热力学评价体系；然后针对经典热力学分析方法的不足，根据热变换器的功能、投资等方面的特点，按照内可逆联合卡诺模型，利用有限时间热力学理论方法，导出了吸收式热变换器比供热率与操作参数、比供热率与热力学性能系数的优化关系，从而使优化结果兼顾了系统用能的合理性和与总传热面积相关的反映设备投资回报的经济性指标。

Firstly, the definition of image representation, measure of sparsity, and the basic methods of sparse representation are reviewed. And then, we analyze the performance of nonlinear approximation of Ridgelet, Curvelet, Contourlet and Bandelet transform.

论文阐述了信号表示的定义、稀疏性度量以及图像稀疏表示的基本理论方法，分析与比较了脊波变换、曲线波变换、Contourlet变换、Bandelet变换各自的非线性逼近性能。

Especially when dorsiflexion 20 degree goes to dorsiflexion 30 degree ,the contact stress arises 38%; when dorsiflexion 30 degree goes to dorsiflexion 40 degree ,it makes the contact stress arises 32%; when plantar flexion 20 degree goes to plantar flexion 30 degree ,it makes the contact stress arises 62%; when plantar flexion 30 degree goes to plantar flexion 40 degree ,the contact stress arises 23%.

由背屈20度变换成背屈30度时，其接触压力上升38%，由背屈30度变换成背屈40度时，其接触压力上升了32 %；掌屈20度变换成掌屈30度时，其接触压力上升了62%，由掌屈30度变换成掌屈40度时，其接触压力上升了23 %，与文献所载之趋势亦有相似之处。

The robustness is obtained thanks to the fact that some local mismatches in the approach are generally impossible to change the global correct matching trend The method can not only be used for sectional images matching in medical field as it did in the thesis, but can also be used in other fields, such as stereo vision [2] Distance transformation plays quite an important role in object thinning and skeletonization in image processing.

2〗距离变换是一种基本的图象处理工具，它在实现目标细化、骨架抽取等方面起到重要作用。作者提出了一种统一化的距离变换，它能够快速实现多种距离测度的距离变换。当进行欧氏距离变换时，其平均误差远远小于文献中现有的方法，并且出现误差的概率也大大地降低了。

Rased on the high-order statistics of data,the feature basis function which is obtained by ICA from image data are localized in space as well as in frequency and orientation ,fit image data well.

传统的的傅立叶变换、离散余弦变换、主分量分析等线性变换方法都是基于全局变换的思想，无法反映图像在时频域的局部特征。

The comparison and analysis of relevant results.●Application for financial data analysis and prediction. The research work is summarized as follows At first, we have proposed a reformulating and revolutionizing concept for neural networks information processing and transformation mechanism based on the coupling between field organization transformation and field action transformation.

场组织变换通过神经网络的隐单元，把输入模式转换为相关的结构表示，抽取输入模式的主要结构特征，形成外部环境在反应变换中的结构表示；场反应变换把由场组织变换形成的特征表示，转换为实际期望的输出。

A new algorithm of the regularizing image restoration based on wavelet transform in the frequency is presented and the advantages of the Fourier transform and wavelet transform are, respectively, adopted in this algorithm.

将图像复原正则解的小波变换在频域中执行，提出了一种基于频域的小波变换图像复原正则化方法，这种方法同时利用了傅立叶变换和小波变换各自的优点。

The tasseled cap transformation is a kind of linear transformation of the multi-spectral band,which can eliminate relative spectral response correlation of multi-spectral images and is of great importance for full-color image visualization and automatic feature extraction.

文中提出了IKONOS多光谱图像缨帽变换方法。缨帽变换是多光谱波段的一种线性变换，且该变换能消除多光谱图像的相对光谱响应相关性，并对全色图像可视化和自动特征提取都非常有用。

With the development of semiconductor devices, the switching frequency of PWM converters becomes higher, which makes PWM converters (mainly high-frequency transformers, inductors and capacitors in converters) smaller, and this will benefit design and application of them. Whats more, higher switching frequency will reduce the audio-frequency noise and improve dynamic response of PWM converters.

随着半导体器件技术的不断发展，PWM变换器所能达到的开关工作频率越来越高，使得变换器(主要是变换器中的高频变压器、电感等磁性元件和电容)的体积和重量越来越小，这有利于PWM变换器的设计及推广应用。

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。