一个现代信号处理中谱估计，matlab编写

本程序是用粒子群算法优化神经网络算法的MATLAB源程序(This MATLAB procedure is to use particle swarm algorithm to optimize neural network algorithm )

This is the generation code for direct spread spectrum using pseudo-random noises. it shows how to generate it and also is implemented bit error ratio and the checking of autocorrelation.

计算一个混沌序列的Lyapunov 指数，可以直接把所需要计算的混沌序列输入，就可以得到所要的曲线和数值(Calculation of a chaotic sequence of Lyapunov index, can be directly calculated by the chaotic sequence required input, it can be to the curves and numerical)

局部极小点，用于局部极小点的程序，还有相应的论文，大家可以下载好好学习，看看老外的编程技巧(find local minimum)

估计Hilbert矩阵的2条件数和矩阵的阶数的关系用Gauss消去，分别用Gauss消去，Jacobi迭代，Gauss-seidel迭代，SOR迭代和共轭梯度法求解，比较结果。(Discuss the 2 condition number of the matrix and the matrix order relations.Using different methods like Gauss，Jacobi，Gauss-seidel，SOR and GS)

非常详细的自适应信道均衡程序，设计了一种用于通信信道的自适应均衡器，提供了两种均衡方法，并进行了比较。(Very detailed adaptive channel equalization process, an adaptive equalizer for a communication channel, the two equalization method, and compared.)

用matlab编写的TVD格式一维激波管问题，包含黎曼问题精确解，Hll格式和Roe格式，采用minmod，vanleer等多种限制器(TVD scheme using matlab one-dimensional shock tube problems, including Riemann problem exact solution, Hll formats and Roe format using minmod, vanleer other limiters)

本文简单地探讨了一下绿光激光器设计中的部分问题，并用MATLAB进行了关键数据的计算，用zemax软件对激光产生后的光束变换进行了仿真。(This paper briefly discusses about the design of green laser part of the problem, and use MATLAB for the calculation of critical data, generated with zemax software after the laser beam transformation is simulated.)

说明：  线弹性断裂相场法，后续更新！！共同学习！！(elastic fracture phase field)

【实例简介】