系统函数

Based on MATLAB BUTTERWORTH prepared by the filter process. From which zs domain to t

其中从s域到z域的变换是自己编写的，代替了MATLAB中的系统BUTTERWORTH的系统函数对于毕业设计的学生，比较有用！！

The system function of late-developing advantage is a sustained decreasing dynamic function with the time, which is composed of seven sub- system functions.

后发优势系统函数是一个随时间持续递减的动态复合函数，它由7 个子系统函数组成。

Mastery: The Z-Transform, The Region of Convergence for the Z-Transform, The Inverse Z-Transform, Properties of the Z-Transform, System Function Algebra and Block Diagram Representations.

教学内容： Z 变换； Z 变换收敛域；逆 Z 变换；由零极点图对傅立叶变换进行几何求值； Z 变换性质；几个常用 Z 变换对；利用 Z 变换分析和表征线性时不变系统；系统函数的代数属性与方框图表示；单边 Z 变换。

The Laplace Transform; The Region of Convergence for Laplace Transforms; The Inverse Laplace Transform; Geometric Evaluation of the Fourier Transform from the Pole-Zero Plot; Properties of the Laplace Transform; Analysis and Characterization of LTI Systems Using the Laplace Transform; System Function Algebra and Block Diagram Representations; The Unilateral Laplace Transform..

教学内容：拉普拉斯变换；拉普拉斯变换收敛域；拉普拉斯反变换；由零极点图对傅立叶变换进行几何求值；拉普拉斯变换性质；常用拉普拉斯变换对；用拉普拉斯变换分析和表征线性时不变系统；系统函数的代数属性与方框图表示；单边拉普拉斯变换。

Mastery: The Laplace Transform, The Region of Convergence for Laplace Transforms, The Inverse Laplace Transform, Properties of the Laplace Transform, Some Laplace Transform Pairs; Analysis and Characterization of LTI Systems Using the Laplace Transform, System Function Algebra and Block Diagram

基本要求：掌握拉普拉斯变换定义，拉普拉斯变换收敛域，拉普拉斯反变换，拉普拉斯变换性质，用拉普拉斯变换分析和表征线性时不变系统，系统函数的代数属性与方框图表示；熟悉常用拉普拉斯变换对，单边拉普拉斯变换；了解由零极点图对傅立叶变换进行几何求值。

Mastery: The Laplace Transform, The Region of Convergence for Laplace Transforms, The Inverse Laplace Transform, Properties of the Laplace Transform, Some Laplace Transform Pairs; Analysis and Characterization of LTI Systems Using the Laplace Transform, System Function Algebra and Block Diagram Representations;Roth Criterion;Mason Equation of the Signal Flow Graphs.

基本要求：掌握拉普拉斯变换定义，拉普拉斯变换收敛域，拉普拉斯反变换，拉普拉斯变换性质，用拉普拉斯变换分析和表征线性时不变系统，系统函数的代数属性与方框图表示，罗斯判别，信号流图的梅森公式；熟悉常用拉普拉斯变换对，单边拉普拉斯变换；了解由零极点图对傅立叶变换进行几何求值。

The Laplace Transform; The Region of Convergence for Laplace Transforms; The Inverse Laplace Transform; Geometric Evaluation of the Fourier Transform from the Pole-Zero Plot; Properties of the Laplace Transform; Analysis and Characterization of LTI Systems Using the Laplace Transform; System Function Algebra and Block Diagram Representations; The Unilateral Laplace Transform.;Roth rule ;Signal Flow Graphs.

教学内容：拉普拉斯变换；拉普拉斯变换收敛域；拉普拉斯反变换；由零极点图对傅立叶变换进行几何求值；拉普拉斯变换性质；常用拉普拉斯变换对；用拉普拉斯变换分析和表征线性时不变系统；系统函数的代数属性与方框图表示；单边拉普拉斯变换；罗斯准则；信号流图。

In this project, we intend to combine the above mathematical ideas. First, we consider a wild family of dynamical systems which can be derived into a family of difference equations. Then using a generalized version of the implicit function theorem which we will establish, we want to show that for any dynamical systems near 「singular limit」, there exists a horseshoe structure and hence chaotic phenomena occur.

在此研究计画中，我们打算结合上述的数学结论与想法，进一步考虑一类能够转化成差分方程的动态系统函数族，使用即将建立的推广性隐函数定理，我们希望证明当参数接近奇异极限时，动态函数会具有马蹄结构所以有混沌现象。

The Laplace Transform; The Region of Convergence for Laplace Transforms; The Inverse Laplace Transform; Geometric Evaluation of the Fourier Transform from the Pole-Zero Plot; Properties of the Laplace Transform; Analysis and Characterization of LTI Systems Using the Laplace Transform; System Function

教学内容：拉普拉斯变换；拉普拉斯变换收敛域；拉普拉斯反变换；由零极点图对傅立叶变换进行几何求值；拉普拉斯变换性质；常用拉普拉斯变换对；用拉普拉斯变换分析和表征线性时不变系统；系统函数的代数属性与方框图表示；单边拉普拉斯变换。

After some discussion on several common nonlinear effects in WDM systems, CROSS Phase Modulation effect is investigated for example to find how the nonlinear impairment can be considered by network entities.

在简要介绍了几种常见的非线性效应，给出了它们对系统传输性能影响的评估与计算公式之后，以交叉相位调制效应为例提出了一种名为等效系统函数法的方法计算XPM导致的相位-幅度噪声，把XPM效应对系统传输性能的影响转化为网络层RWA实体可以利用的形式。

Breath, muscle contraction of the buttocks; arch body, as far as possible to hold his head, right leg straight towards the ceiling (peg-leg knee in order to avoid muscle tension).

呼气，收缩臀部肌肉；拱起身体，尽量抬起头来，右腿伸直朝向天花板（膝微屈，以避免肌肉紧张）。

The cost of moving grain food products was unchanged from May, but year over year are up 8%.

粮食产品的运输费用与5月份相比没有变化，但却比去年同期高8％。