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calculates the signal to noise ratio in each subchannel in DMT.(calculates the signal to noise ratio in eac h subchannel in DMT.)

LMS另一种写法，亲自验证，用来滤波，自适应滤波的一种(LMS another way, personally verified, used to filter, an adaptive filter)

与其它高级语言相比较，MATLAB具有独特的优势：(1) MATLAB是一种跨平台的数学语言。(2) MATLAB是一种超高级语言。MATLAB平台本身是用C语言写成的，所以在编程效率，程序的可读性、可靠性和可移植性上远远超过了常规的高级语言。(3) MATLAB语法简单，编程风格接近数学语言描述，是数学算法开发和验证的最佳工具。(4) MATLAB计算精度很高。与其它语言相比，MATLAB对计算机内存、硬盘空间的要求也是比较高的。(Compared with other high-level languages​ ​ , MATLAB has unique advantages: (1) MATLAB is a cross-platform language of mathematics. (2) MATLAB is a super-high-level language. MATLAB platform itself is written in C, so the programming efficiency, readability, reliability and portability far more than the regular high-level language. (3) MATLAB syntax is simple, close to the mathematical language to describe the style of programming is a mathematical algorithm development and validation of the best tools. (4) MATLAB computing high accuracy. Compared with other languages​ ​ , MATLAB computer memory, disk space requirements are relatively high.)

Randon data from program

说明：  整个系统分为数据采集和数据分析两大部分，以友好的图形界面与用户进行交互沟通。 声音数据采集部分实现数据采集功能,根据用户选择的采样频率和预设的采样时间来从声卡获得用户需要的数据。并且将采集到的数据及其频谱图以图形方式很直观的呈现于用户面前。 图像采集分析部分，读入图像后，根据选择，对其进行Linear Conformal、Affine、Projective、Polynomial、Piecewise Linear、Sinusoidal、Barrel、Pin Cushion变换(The whole system is divided into data collection and data analysis of two parts, with a friendly graphical interface to communicate with the user interaction. Sound data collection part of the data collection function, according to user-selected sampling frequency and sampling time to the default user from the sound card to obtain the data needed. And the collected data and the spectrum is very intuitive graphically presented in front of the user. Image acquisition and analysis section, read the image, based on the choice of its Linear Conformal, Affine, Projective, Polynomial, Piecewise Linear, Sinusoidal, Barrel, Pin Cushion Transformation )

多输入BP神经网络的几个例子，主要包含函数拟合以及最小二乘法(matlab bp)

混沌的一些具体行为，混沌的分岔等等理论，以及混沌的一些特征问题等等。(Some of the specific acts of Chaos, chaos theory of bifurcation, etc., as well as problems, and so some of the characteristics of chaos.)

此资料例举了matlab的一些算法的源程序。(This data illustrates some of the algorithm matlab source.)

期权蝶式价差策略:把价差策略分解成单个期权的组合并分析期初成本和期末收益(Butterfly spread options strategy: to spread down into a combination of a single policy options and cost analysis at the beginning and end of the income)