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说明：  遗传算法，MATLAB例程，交叉适应繁殖变异，结构清晰(Genetic algorithm, MATLAB routine, cross-breeding to adapt to variations in the structure of clear)

Edge detection result should be enhanced using linear method like Median filter to remove the garbage around the pupil to gain clear pupil to determine perfect centre. Get the centre of the pupil by counting the number of black pixels (zero value) of each column and row. Then get each row and column that has the maximum number of these black pixels. Then determine the center by simple calculation according to the image coordinate to set it correct on the image, consequently we can determine the radius of the pupil. Thus we can find the pupillary boundary (inner). A similar procedure is extended by using a coarse scale to locate the outer boundary (limbus) which can be apparent by using the mid-point algorithms of circle and ellipse.

约束预测控制,实现输入约束情况下的最优控制率求解，使系统完美控制(Constrained predictive control, in case the input constraints solving the optimal control rate, the perfect control system )

采用卡尔曼滤波方法对AR（3）时间序列模型进行校正，关键句有说明，(Kalman filter correction AR (3) time series model, described key sentence)

绘分形树：tree(n,a,b),n为分形树迭代次数 a,b为分枝与竖直方向夹角 (Painted fractal tree)

用LAPLACE方法求解多维沃尔泰拉方程，此处为一个变元的方程，由于该方程同时含有微分和积分，一般求解有一定的困难。此处为MATLAB程序(used method for multiple preoperational Ertaila equation here as a variable element of the equation, As the same time contain differential equations and integral, the general solution is definitely difficult. Here for the MATLAB program)

UWB，超宽带信号分析所用的子函数，第一部分！(UWB, ultra-wideband signal Functions used in the analysis, the first part!)

格兰杰因果检验，亲手尝试使用过，效果可以(granger causality,use matlab to do this job)

模拟数字信号进行matlab的FFT运算。对频谱进行对数谱和功率谱的转换。(Analog and digital signal matlab the FFT operation. The number of the spectrum of the spectrum and power spectrum of the conversion.)

研究中我么采用分段的方法对数字音频信号嵌入水印。为便于研 究，以灰度图像为数字水印原始信号经二值化处理后得到水印再嵌入 音频信号的离散变换域中，从而得到嵌入水印的音频信号，其实现过 程原理框图如图1 所示。在水印嵌入的过程主要实现四个阶段的任 务：(1)数据准备与预处理，主要是准备好水印原始图片和待嵌入水印 的音频信号 (2)音频信号分段处理，用于嵌入水印的音频数据部分等 分成(m1*m2)个音频数据段 (3)水印图像降维处理，在此过程灰度图像 水印转化为二值图象, 要将其嵌入到一维的数字音频信号中, 必须将 二维的图像转化成一维的序列 (4)将水印嵌入到数字音频信号中,从而 最终获得带数字水印的音频信号。(The study I Mody, segmented digital audio signal embedded watermark. Discrete transform domain to facilitate the study of the grayscale image for the digital watermark the original signal is obtained after the binarization processing watermark embedded in the audio signal, thereby obtaining the watermark embedded in the audio signal, and its implementation process schematic block diagram shown in Figure 1. Mainly in the watermark embedding process to achieve the task of four phases: (1) The data preparation and pretreatment, is ready to watermark the original picture and to be embedded in the audio signal of the watermark (2) audio signal segment processing for embedding watermark The audio data portion is divided into (m1* m2) audio data segment (3) The watermark image dimension reduction processing, binary image is converted to grayscale image watermark in this process, and to be embedded into a digital audio signal of a one-dimensional , two-dimensional images must be converted in)