PLO_function

matlab的使用方法，初学则可以快速入门(the use of matlab, you can Quick Start)

用matlab实现小波包能量分析，可以提取特征信号(Wavelet Packet Energy Analysis)

MIMO 最优天线选择算法，即穷举搜索方法(Optimal MIMO antenna selection algorithm,is also the exhaustive search method)

用于齿轮信号的倒频谱分析，程序是通的，只需修改数据文件就可以。(Cepstrum analysis for gear signal,it is through,only the data files can be modified.)

说明：  change raw and column of matrix

如何利用计算机技术对连续系统和离散系统进行模拟。为研究模拟提供极为适合的手段(How to use computer technology to the continuous and discrete systems simulation. Very suitable for the study provided a means of simulation)

本文中有两个函数m文件：model126.m是一个用于预测的完全没有用工具箱函数的补偿模糊神经网络主程序，用于仿真、对比训练数据和网络输出的差异；cb.m是一个非线性系统的数学模型，在model126.m中用“ode45”函数求解这个数学模型后，可以得到105个x1(t)、x2(t)和y(t)，从而建立起一个两输入一输出的补偿模糊神经网络。(failed to translate)

Eigenfunctions of integrable planar billiards are studied — in particular, the number of nodal domains, ν of the eigenfunctions with Dirichlet boundary conditions are considered. The billiards for which the time-independent Schrö dinger equation (Helmholtz equation) is separable admit trivial expressions for the number of domains. Here, we discover that for all separable and nonseparable integrable billiards, ν satisfies certain difference equations. This has been possible because the eigenfunctions can be classified in families labelled by the same value ofm mod kn, given a particular k, for a set of quantum numbers, m, n. Further, we observe that the patterns in a family are similar and the algebraic representation of the geometrical nodal patterns is found. Instances of this representation are explained in detail to understand the beauty of the patterns. This paper therefore presents a mathematical connection

两篇中文论文，详细叙述了Farrow滤波器的设计方式和理论基础，非常实用！(Two Chinese papers, described in detail Farrow filter design methods and theoretical foundation, very useful!)

说明：  将数组a[0]~a[size-1] 中重复的字母删除（仅仅保留第一次出现的字母，后续的重复字母均删除）(The array a [0] ~ a [size-1] Remove duplicate letters (just the first time to retain the letters, follow-up letters were removed duplication))