PSCAD-to-MATLAB.pdf

(有源代码)数值分析作业,本文主要包括两个部分,第一部分是常微分方程(ODE)的三个实验题,第二部分是有关的拓展讨论,包括高阶常微分的求解和边值问题的求解(BVP).文中的算法和算例都是基于Matlab计算的.ODE问题从刚性(STIFFNESS)来看分为非刚性的问题和刚性的问题,刚性问题(如大系数的VDP方程)用通常的方法如ODE45来求解,效率会很低,用ODE15S等,则效率会高多了.而通常的非刚性问题,用ODE45来求解会有很好的效果.从阶次来看可以分为高阶微分方程和一阶常微分方程,高阶的微分方程一般可以化为状态空间(STATE SPACE)的低阶微分方程来求解.从微分方程的性态看来,主要是微分方程式一阶导系数大的时候,步长应该选得响应的小些.或者如果问题的性态不是太好估计的话,用较小的步长是比较好的,此外的话Adams多步法在小步长的时候效率比R-K(RUNGE-KUTTA)方法要好些,而精度也高些,但是稳定区间要小些.从初值和边值来看,也是显著的不同的.此外对于非线性常微分方程还有打靶法,胞映射方法等.而对于微分方程稳定性的研究,则诸如相平面图等也是不可缺少的工具.值得提出的是,除了用ode系类函数外,用simulink等等模块图来求解微分方程也是一种非常不错的方法,甚至是更有优势的方法(在应用的角度来说).((Source code) numerical analysis homework, this docment includes two parts, the first is ordinary differential equations (ODE) of the three examples, the second part is about the expansion of the discussion, including the higher-order ordinary differential & boundary value solution Problems (BVP). the text of the algorithm and numerical examples are based on the Matlab. ODE from the rigid (STIFFNESS) look into the issue of non-rigid and rigid problem, rigid problems (such as large coefficient VDP equation) such as using the always method ODE45 used to solve the problems , efficiency will be low, with ODE15S the other hand, many of the high efficiency. and the usual problem of non-rigid, there will be used to solve ODE45 very good results. Judging from the order can be for high-order differential equations and first-order ordinary differential equations, higher-order differential equations can be transformed into a general state space (STATE SPACE) used to solve the low-order different)

FFA（快速折叠算法），实现噪声中的周期信号检测，及周期估算(FFA (fast folding algorithm), the realization of the periodic signal in noise detection, and cycle estimates)

说明：  数学实验matlab的好程序，给matlab的初学者(Good mathematical experiment matlab program to matlab for beginners)

Gps positioning by kalman filter

说明：  汉明码生成，74和1511汉明码的生产，以及其检错能力的验证(Hamming code generation, 74 and the 1511 production of Hamming codes and their error detection ability for)

维纳滤波的四个实现 包括文档和matlab代码，对原理阐释的十分详尽(Wiener filtering of the four to achieve, including documents and matlab code, very detailed explanation of the principles of)

图的 领结表 表示 程序中有较多注释 方便别人读 增加可读性(Map tie the table means that the program has more comments To facilitate others to read to increase readability)

Wound-field synchronous motors are well-known in industrial drives requiring constant speed irrespective of load. Separately controllable dc excitation in the form of dc field current is a unique feature in the power factor control of such a motor the lagging to leading mode.

说明：  VC++与Matlab混合编程的快速实现教程，及一些简单的例子，新手快速上手(VC++ and Matlab Fast Implementation of mixed programming tutorial, and some simple examples, the novice get started quickly)

Rs code on Fading channel Model