Matlab code for LMS algorithm

这是龚纯《精通MATLAB最优化计算》随书源码(M文件)。基于MATLAB优化工具箱，代码包含的内容有：牛顿法等无约束一维极值问题、单纯形搜索法等无约束多维极值问题、Rosen梯度投影法等约束优化问题、L-M法等非线性最小二乘优化问题、线性规划、整数规划、二次规划、粒子群优化、遗传算法。(This is pure Gong " Mastering MATLAB optimization calculations," with the book source (M file). Based on MATLAB Optimization Toolbox, the content code contains: Newton and other non-binding one-dimensional extremum problems, such as simplex search method for unconstrained multi-dimensional extremum problems, Rosen gradient projection method and other constrained optimization problems, LM non-linear law least squares optimization problem, linear programming, integer programming, quadratic programming, particle swarm optimization, genetic algorithm.)

说明：  用MATLAB进行数字信号处理（ Proakis）的源码(Using MATLAB for digital signal processing (Proakis) the source)

飞行器航迹模拟程序，利用matlab进行仿真(matlab trace)

OSU提供的读取tpxo7.2海潮模型的matlab使用软件(tpxo7.2 ocean tide toolbox)

plots result of simulation in matlab

％ [BestPop,Trace]=fmaxga(FUN,LB,UB,eranum,popsize,pcross,pmutation) ％ Finds a maximum of a function of several variables. ％ fmaxga solves problems of the form: ％ max F(X) subject to: LB <= X <= UB ％ BestPop--------最优的群体即为最优的染色体群 ％ Trace----------最佳染色体所对应的目标函数值 ％ FUN------------目标函数 ％ LB-------------自变量下限 ％ UB-------------自变量上限 ％ eranum---------种群的代数,取100--1000(默认1000) ％ popsize--------每一代种群的规模；此可取50--100(默认50) ％ pcross---------交叉的概率,此概率一般取0.5--0.85之间较好(默认0.8) ％ pmutation------变异的概率,该概率一般取0.05-0.2左右较好(默认0.1) ％ options--------1×2矩阵,options(1)=0二进制编码(默认0),option(1)~=0十进制编码,option(2)设定求解精度(默认1e-4)( [BestPop, Trace] = fmaxga (FUN, LB, UB, eranum, popsize, pcross, pmutation) Finds a maximum of a function of several variables. Fmaxga solves problems of the form: max F (X) subject to : LB <= X <= UB BestPop-------- optimal chromosome groups is the best group Trace---------- chromosome corresponding to the best objective function value FUN------------ objective function LB------------- variable lower limit since the UB------------- variable upper limit eranum--------- populations algebra, take 100- 1000 (default 1000) popsize-------- population size of each generation this desirable 50- 100 (default 50) pcross--------- crossover probability, the probability of a general check 0.5- 0.85 between the better (default 0.8) pmutation------ mutation probability, the probability of 0.05 general admission better about-0.2 (default 0.1) options-------- 1 × 2 matrix, options (1) = 0 binary code (default 0), option (1) ~ = 0 decimal coding, option (2 ) set accuracy (default 1e-4))

hough变换，matlab编程。Hough变换是一种使用表决原理的参数估计技术。其原理是利用图像空间和Hough参数空间的点－线对偶性，把图像空间中的检测问题转换到参数空间。通过在参数空间里进行简单的累加统计，然后在Hough参数空间寻找累加器峰值的方法检测直线。(hough transform, matlab programming. Hough transform is a vote on the principle of using a parameter estimation techniques. The principle is the point of the image space using the Hough parameter space and line- duality converting the detection problem in the image space to the parameter space. By a simple statistical accumulated in the parameter space, and then in the Hough parameter space to find a method of detecting the peak accumulator line.)

稀疏脉冲反褶积程序，提高地震资料分辨力的有力工具！！(Sparse pulse deconvolution program, is a powerful tool to improve the resolution of seismic data!!!!!)

Cordicc implementation using MATLAB to calculate sin cosine function also convert form polar to cartessia or cartessian to polar(this is a cordic implementation using matlab to compute sin cosine also transfer polar to cartessian vice versa)

说明：  一个小的matlab编程来实现主成分分析(A small matlab program to achieve the principal component analysis)