含色散项Zabolotskaya-Khokhlov方程的对称、约化、精确解和守恒律

利用修正的Clarkson-Kruskal (CK)直接方法得到了含色散项的Zabolotskaya-Khokhlov(简写为DZK)方程的对称、约化和一些精确解,包括双曲函数解,有理函数解,三角函数解等,同时得到了该方程的守恒律.     

(2+1)维Potential Boiti-Leon-Manna-Pempinelli方程的对称、约化和精确解

利用经典李群法得到了(2+1)维Potential Boiti-Leon-Manna-Pempinelli (简称PBLMP )方程的对称、约化,通过解约化方程得到了该方程的一些精确解,包括有理函数解,双曲函数解,三角函数解, Jacobi椭圆函数解.     

广义KdV-Zakharov-Kuznetsev方程的对称约化、精确解和守恒律

利用直接对称方法得到了广义KdV-Zakharov-Kuznetsev方程(简写为mKdV-ZK)的对称约化、精确解,其中包括椭圆函数解,幂级数解,艾米儿函数解等。利用得到的对称,求出了该方程的守恒律。     

(2+1)维Boiti-Leon-Manna-Pempinelli方程的对称、精确解及守恒律

利用李群分析方法,得到了(2 1)维Boiti-Leon-Manna-Pempinelli(BLMP)方程的对称、相似约化和新的精确解,包括有理函数解、双曲函数解、雅克比椭圆函数解和三角周期解.同时找到了此方程的无穷多守恒律.     

(2+1)维Gardner方程的对称、约化及其群不变解

利用经典李群方法,得到了一类(2+1)维Gardner方程的显式解,推广了唐和陈勇的某些结果,并且得到了该方程的对称、约化及其群不变解.     

（2+1）维非线性发展方程的对称约化和显式解

利用相容方法,得到了(2+1)维非线性发展方程的对称,并根据相应的特征方程组得到了(2+1)维非线性发展方程的相似约化,同时得到了一些新的显式解.     

应用改进的简单方程法求(2+1)维ZK-MEW方程的精确解

应用改进的简单方程法求得(2+1)维ZK-MEW方程的精确解,这些解包括双曲函数解、三角函数解。当对双曲函数解中的参数取特殊值时,可以得到了孤立波解。当对三角函数解中的参数取特殊值时,可以得到对应的周期波函数解。实践证明,简单方程法对于研究光电子学、量子光学、激光物理和等离子体物理具有非常广泛的应用意义。     

遥感、遥测、遥控

TP73 96031304微波辐射计低温定标负载的研究/吕颖,张祖荫,郭伟(华中理工大学图象识别与人工智能所)刀华中理工大学学报一1996,24(2)一72一73 基于Hardy定标方法在精度上受到的限制,提出了一种新的辐射计低温定标负载结构.并根据分层中电磁波传输的基本理论对这种结构进行分析,得到辐射亮温的计算公式,得出了绝热层对定标负载辐射的贡献必须在定标方程中加以考虑而不能忽略的结论.计算结果与实验结果符合得较好。图2表2参双金)最优解的过程。文中提出的有限光谱混合分析方法是在约束条件下求混合光谱方程的最优解,并提出子决速算法.该方法…     

（3+1）维广义KdV-Zakharov-Kuznetsev方程的对称、约化和精确解

利用直接对称方法得到了广义KdV-Zakharov-Kuznetsev方程（简写为mKdV-ZK）的对称约化、精确解，其中包括椭圆函数解，幂级数解，艾米儿函数解等. 利用得到的对称，求出了该方程的守恒律.     

2+1维破裂孤子方程的新孤子解

李群方法是研究非线性微分方程的有力工具,应用经典或非经典李对称方法可得到大量非线性微分方程(组)的显式解.对于2 1维的破裂孤子方程,利用CK方法得到了方程求解的Bachlund变换公式,从而获得方程的一些新精确解,推广了文献[4～8]中的结果.     

A function of time, frequency, lag, and Doppler

In signal processing, four functions of one variable are commonly used. They are the signal in time, the spectrum, the auto-correlation function of the signal, and the auto-correlation function of the spectrum. The variables of these functions are denoted, respectively, as time, frequency, lag, and Doppler. In time-frequency analysis, these functions of one variable are extended to quadratic functions of two variables. In this paper, we investigate a method for creating quartic functions of three of these variables as well as a quartic function of all four variables. These quartic functions provide a meaningful representation of the signal that goes beyond the well-known quadratic functions. The quartic functions are applied to the design of signal-adaptive kernels for the Cohen class and shown to provide improvements over previous methods     

嵌入式系统中BSP的作用及其相关联环节的分析

在嵌入式技术的设计与应用中,板级支持软件包BSP是嵌入式技术应用中软硬件结合层面的一个关键环节,其形式与作用随不同的软硬件环境产生的差异发生变化。如何为嵌入式操作系统"屏蔽"应用环境的差异是BSP的主要任务。从分析嵌入式技术定义、系统组成以及研发等几个方面,对BSP的作用及其关联环节进行分析,为嵌入式技术的应用提供帮助。     

基于扩展球谐函数的多次散射理论分析

粒子的单次散射在一定程度上描述了光的传播特征。但在实际情况中,单次散射不足以描述传播过程的全貌。因此,我们必须考虑粒子的多次散射效应,以得到对光传播问题的一个完整描述。在本文中,我们首先建立散射传输方程,在求解散射传输方程中引入了辅助函数,然后再利用球谐函数对辅助函数进行扩展,导出了多次散射方程的解。     

m值逻辑函数的代数标准型

本文给出了环Z_m(m=p~l,p是素数,l>l)上多值逻辑函数的代数标准型,讨论了其在广义的Bent函数构造中的初步应用,这种与布尔函数的代数标准型类似的表达形式,为进一步研究m值逻辑函数密码特性提供了有效工具。     

Flat zones filtering, connected operators, and filters byreconstruction

This correspondence deals with the notion of connected operators. Starting from the definition for operator acting on sets, it is shown how to extend it to operators acting on function. Typically, a connected operator acting on a function is a transformation that enlarges the partition of the space created by the flat zones of the functions. It is shown that from any connected operator acting on sets, one can construct a connected operator for functions (however, it is not the unique way of generating connected operators for functions). Moreover, the concept of pyramid is introduced in a formal way. It is shown that, if a pyramid is based on connected operators, the flat zones of the functions increase with the level of the pyramid. In other words, the flat zones are nested. Filters by reconstruction are defined and their main properties are presented. Finally, some examples of application of connected operators and use of flat zones are described.     

Atomic,WA-systems,and R-functions applied in modern radio physics problems: Part I

The main physical applications of atomic, WA-systems, and R-functions are presented. The Whittaker-Kotelnikov-Shannon sampling theorem is generalized on the basis of atomic functions. Applications of atomic functions in the theory of probability and random processes, interpolation of stationary random processes with atomic functions, and a new class of probabilistic weighting functions used in digital signal and image processing are considered.     

Microsound Components, Circuits, and Applications

Surface acoustic wave components have been realized which perform the functions of transduction, amplification, and coupling. Applications are suggested which make use of these components. Exploratory work in connection with surface acoustic waveguides suggests the feasibility of acoustic analogs of conventional microwave transmission line (microsound) components on the surface of crystal and substrates. These microsound transmission lines, hybrids, and directional couplers interconnect microsound transducers, amplifiers, isolators, and phase shifters to form microsound circuits capable of autocorrelation, Fourier transformation, and cross correlation functions. Compatible component configurations are proposed and evaluated which perform these basic functions. The anticipated difficulties with their realization are discussed and the current status of critical problems including the epitaxial growth of thin films and submicron etching procedures will be given. Several circuits capable of performing correlation functions are given.     

基于磁偶极子模型的目标定位和参数估计

在分析了目标的磁偶极子模型之后,指出该模型是两个函数的组合,目标参数包含在两个函数的参数里.提出了函数组合法,能够将这两个函数分离,求出目标的位置及磁矩.进行了仿真计算.文章进一步分析了函数组合法的实质,因而可将它扩展到解一类定位和参数估计问题.     

2-D Signal Representation, Interpolation, and a New Approach to Compression

The properties of certain elliptic functions are exploited for the representation and interpolation of functions over two-dimensional data. Also a new approach for the compression of two-dimensional data is given.