Mathematical-Modeling

利用数据结构的二叉树概念编写的MATLAB程序实现HUFFMAN编码。(Binary tree data structure using the concept of the preparation of the MATLAB program Huffman coding.)

methods of Direction of arrival estimation. (DOA) such as MUSIC, MVDR, Min-Norm and Classical Beamforme.

如何减少ISI？分别用NLMS,BLMS，基于符号的LMS算法完成仿真，并比较结果，包括不同信道参数w，不同数据块长度L对其的影响。(How to reduce the ISI? Respectively NLMS, BLMS, symbol-based LMS algorithm to complete the simulation, and compare the results, including different channel parameters w, different data block length L of its impact.)

Boundary Integral Method Code

时域波束形成实现早期乳腺肿瘤检测,采用超宽带一阶高斯波(time beamforming for early breast cancer detection by UWB )

神经网络，它是一种模范动物神经网络行为特征，进行分布式并行信息处理的算法数学模型。这种网络依靠系统的复杂程度，通过调整内部大量节点之间相互连接的关系，从而达到处理信息的目的。(Neural network, it is a neural network model of animal behavior characteristics, the distributed parallel algorithm for information processing model. This network relies on the complexity of the system, by adjusting the connection between the number of nodes within the relationship, so as to achieve the purpose of processing information.)

录制自己的一段语音，时间控制在15秒到30秒左右；利用wavread函数对自己的语音进行采样，记住采样频率。 （1）画出原始语音信号的时域波形，而后以1秒为间隔，求出每秒数据的功率谱。 （2）根据语音信号特点，分别设计FIR及IIR滤波器，分别画出滤波器幅频和相频特性曲线。用设计的滤波器对信号滤波，画出滤波后时域波形。用sound函数回放语音信号。 （3）求出特征频段语音信号随时间变化的曲线（每间隔0.05秒求一次功率谱）。 (Record your own voice for some time (15 seconds to 30 seconds) use wavread function of the voice samples, remember the sampling frequency. (1) Draw the original speech signal in time domain waveform, and then to 1 second intervals, the data obtained power spectrum per second. (2) According to the voice signal characteristics, FIR and IIR filters were designed, namely to draw the amplitude and phase frequency characteristic curve. With the design of the filters on the signal filtering, to draw the filtered time-domain waveform. Playback with sound function of the speech signal. (3) Find the characteristic band speech signal curve over time (0.05 seconds intervals seeking a power spectrum.))

本程序源码仿真了功率谱密度，供供有关人士下载学习 (The program source code simulation of the power spectral density for the download to learn for the person concerned)

identification for strong apperiodical processes.

基于MATLAB受激布里渊散射耦合方程求解，泵浦光向后差分，斯托克斯光向前差分。(Based on MATLAB stimulated Brillouin scattering coupled equations, differential pumping light backwards, Stokes forward difference.)