BG-PSO

Statistical Methods and Applications (SMA) is the official Journal of the Italian Statistical Society. This international journal fosters the development of statistical methodology and its applications in biological, demographic, economic, health, physical, social, and other scientific domains. In particular, the journal emphasizes investigations of methodological foundations and methods that have broad applications.

针对非圆信号DOA估计问题,提出了一种基于实值特征值分解 (Eigenvalue decomposition,EVD)的求根MUSIC算法.首先利用非圆信号为实值信号的特点,将阵列上的接收数据及其共轭用欧拉公式转换为实值正弦与 余弦数据,然后将正弦与余弦数据进行串联,从而扩展了数据维数.由于采用实值矩阵的EVD,因此在EVD阶段的运算量简化为复值EVD的1/4.根据 EVD后获得的信号与噪声子空间的特点,对噪声子空间和导向矩阵进行重构以便于可以使用求根MUSIC算法获取对DOA的估计.仿真实验验证了本文算法的 有效性(For the estimation of noncircular signals of DOA, proposes a decomposition value based on real valued features (Eigenvalue decomposition, EVD) the root MUSIC algorithm. Firstly, characteristics of non circular signals for real valued signals, the array data and its conjugate with the Euler formula into real value of sine and cosine and sine and cosine data. The data series, thus expanding the dimension of the data. Because of the use of real valued matrix computation in EVD, so the EVD stage was simplified as a complex valued EVD 1/4. according to the characteristics of signal and noise subspace is obtained after EVD, the noise subspace and orientation matrix reconstruction in order to facilitate the use of DOA can obtain the estimated root MUSIC the algorithm. The simulation results verify the effectiveness of the proposed algorithm)

互信息法计算延迟时间的一种方法，可用于构建高维相空间矩阵(A method of calculating the delay time of the mutual information method, can be used to construct the high dimension space matrix)

Deblurring Images - Matrices, Spectra, and Filtering

说明：  节点重要度计算方法源代码 详细介绍了算法的应用(The application of the algorithm is introduced in detail in the source code)

求解无网格法的近似函数，（伽辽金无网格法移动最小二乘近似程序）(for non-grid method similar function (Galerkin grid Mobile least squares approximation procedures))

RS纠错编码原理及其实现方法[第三版] 鉴于很多读者来信，特别是初学者对于如何求得RS生成多项式g[x]不是甚理解，特给出计算g[x]的MATLAB程序。(RS error-correcting coding theory and implementation methods [third edition] in view of a lot of letters from readers, especially for beginners on how to get RS to generate polynomial g [x] is not even understanding, give special calculation of g [x] in MATLAB procedures.)

Erasure correction achieved by two errors-only decoding passes using the Euclidean algorithm. Any (valid) code length can be input. (Erasure correction achieved by two errors- only decoding passes using the Euclidean algo rithm. Any (valid) code length can be input.)

数据关联算法的matlab实现代码，主程序子程序都有，可以直接运行(Data association algorithm matlab code, main subroutine has, you can directly run)

说明：  变模态分解（EMD）的代码，适用于对非平稳非线性信号的分解，分解后得到多个IMF和一个残基。(The code of variable modal decomposition (EMD) is suitable for the decomposition of non-stationary and nonlinear signals, and after decomposition, multiple IMFs and one residue are obtained.)