SGA

首先根据高斯白噪声频率充满整个频带的特性，通过双树复小波包变换对高斯白噪声进行分解，利用频带能量泄漏的定量分析方法，验证了双树复小波包变换具有较低的频带能量泄漏特性；其次利用双树复小波包变换逐层分解信号，对每层分解所得分量求其FFT谱的峭度，得到基于双树复小波包变换的谱峭度图，根据图中峭度最大的原则，可以自动准确的选择信号分解最佳层数和最佳分量；最后将基于双树复小波包变换的谱峭度图的故障诊断方法应用于实际工程中，对齿轮故障振动信号进行分析，选择最佳分解层数和分量后利用希尔伯特包络解调，有效准确地提取了故障特征信息，验证了方法的可行性和有效性(The parameters of a filter were determined by experience, and that has a great influence on the results of signal processing. The discrete wavelet packet transform has a larger energy leakage of frequency band, which obviously affected the results of the envelope demodulation. It is necessary to have a method with a lower energy leakage of the frequency band before envelope demodulation. The dual tree complex wavelet packet transform (DT-CWPT) was a new signal processing method that had many good qualities. Because the energy leakage of the frequency band was smaller when the signal was decomposed by a dual tree complex wavelet packet transform, the dual tree complex wavelet packet transform was used to extract the fault feature information in the field of fault diagnosis. In this paper, first, according to the characteristics of Gaussian white noise, whose frequency was full of the whole frequency band, Gaussian white noise was decomposed by a dual-tree complex wavel)

用于数值积分的稀疏网格高斯埃尔米特方法,可以产生积分节点和积分系数(Sparse Grids Based on Gauss-Hermite Rules)

说明：  对时间序列进行滤波，去掉噪声，得到平滑后的数据(Filters a time series via Lanczos method (cosine filter).)

快速傅立叶变换的程序，附有试验用数据，希望对大家有所帮助(Fast Fourier Transform procedure, with test data, and they hope to help everyone)

对大规模的矩阵做高斯消元，适合大规模矩阵求逆！！！！！(Done on a large scale matrix Gaussian elimination, suitable for large-scale matrix inversion! ! ! ! !)

用蒙特卡洛模拟的方法计算美式期权的价格以及基本描述,实现了图像的加水印，去噪，加噪声等功能，包括最小二乘法、SVM、神经网络、1_k近邻法。( Monte Carlo simulation method of calculating the American option price and basic description, Realize image watermarking, de-noising, plus noise and other functions, Including the least squares method, the SVM, neural networks, 1 _k neighbor method.)

说明：  相位解缠和相位展开matlab程序，里面还包含多篇介绍该相关解缠算法的文章(Phase unwrapping and phase unwrapping matlab program, which also includes more than to introduce the relevant article unwrapping algorithm)

说明：  金属断裂的数值计算提供理论依据及实际详例解读(The numerical calculation of metal fracture provides theoretical basis and interpretation of practical examples)

地震记录的数据，可以用来绘制地震记录，也可以作为地震反演的数据(Seismic wave inverse time migration program can realize the inversion of seismic wave)

分别采用Roe格式和AUSM格式求解一维黎曼问题，并将计算结果与解析解进行比较，发现这两种计算格式都能获得高的计算精度。(Roe scheme were used in this procedure and AUSM format to solve a 1-D RIEMANN problem, and numerical results were compared with the analytical solution, the results can be seen from these two formats have a solution with high accuracy.)