beamforming_SL4

说明：  Fault Location in Extra Long HVdc Transmission Lines using Continuous Wavelet Transform

生成高斯波形脉冲，并求解高斯脉冲的自相关结果(Gaussian pulse waveform is generated, and solve the results of Gaussian pulse autocorrelation)

Harr小波具有紧支撑、零调和性和优良的正交性等优点，因此选择它作为小波变换的基函数。对采样数据进行4层小波包变换得到16维的特征样本。(Harr wavelet has compact support, zero reconcile and excellent orthogonality, etc., so choose it as the base function of wavelet transform. 4 layers of sampled data wavelet packet transform feature samples 16 dimensions.)

编写MATLAB程序，产生协方差函数为C(τ)=9??^(?10|??| )的零均值平稳高斯过程，产生一条样本函数.测量所产生样本的时间自相关函数，将结果与理论值比较。(Procedures for the preparation of MATLAB produced C covariance function (tau) =9^ (- 10||) zero mean stationary Gauss process to produce a sample function. Measuring the resulting sample time autocorrelation function, the results will be compared with the theoretical value.)

说明：  小波阈值去噪，用于对以为信号降噪处理，代码为matlab代码，亲测有效(Wavelet threshold denoising)

基于小波和插值的超分辨率图像重建算法，通过插值后将小波分解应用于图像中，再通过逆变换得到重构图像(And interpolation based on wavelet super-resolution image reconstruction algorithm by interpolating the image after the wavelet decomposition used, then the reconstructed image through the inverse transform)

主要是用于心电信号的去噪，对于噪声下的微弱电信号的一种提取(For ECG denoising, extract a weak signal in the noise)

说明：  Gabor滤波器，可以对图像进行二维Gabor小波变换，用来特制提取(Gabor filter can be two-dimensional Gabor wavelet transform image, for a special extraction)

本书简明扼要地介绍了时间序列及其相关领域的基本概念和基本理论，对ARMA序列预测、时间序列的统计分析、时间序列的时频分析和时间序列的小波变换等给出了有关分析计算方法，结合MATLAB编程应用，介绍了MATLAB时间序列分析有关函数的功能和用法，阐述了如何利用这些函数解决工程应用中的问题。(This book succinctly describes the time sequence and its related fields of basic concepts and theories of the ARMA series forecasting, time series statistical analysis, time series analysis and time-frequency wavelet transform of time series analysis and calculation are given about methods, combined with MATLAB programming applications, the introduction of time series analysis MATLAB functions about functions and usage, explains how to use these functions to solve engineering problems in the application.)

表面肌电信号的小波包局部能量分解柱状图，提取特征能量(Local energy of the surface EMG wavelet packet decomposition histogram feature extraction energy)