k-means

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An Artificial Neural Networks Lab

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用来实现二维离散傅里叶变换的简单实用程序，在matlab中能快速得到理想结果(To realise 2-D Discrete wavelets transform，easily and effective to reach the ideal result we want！)

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A discrete cosine transform (DCT) expresses a finite sequence of data points in terms of a sum of cosine functions oscillating at different frequencies. DCTs are important to numerous applications in science and engineering, lossy compression of audio (e.g. MP3) and images (e.g. JPEG) (where small high-frequency components can be discarded), to spectral methods for the numerical solution of partial differential equations. The use of cosine rather than sine functions is critical for compression, since it turns out (as described below) that fewer cosine functions are needed to approximate a typical signal, whereas for differential equations the cosines express a particular choice of boundary conditions.

当线性代数联立方程组的系数矩阵为三对角阵T时，可将T分解为主对角元素为1的下三角阵L和另一个右三角阵R的积。(Simultaneous linear algebraic equations when the coefficient matrix is tridiagonal matrix T, can break down the main diagonal elements of T 1 of the lower triangular matrix L and the other right-triangular matrix R of the product.)

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说明：  数字下变频的matlab程序，在matlab中可运行(a progrme about ddc)

说明：  狼群算法matlab代码，经典的狼群算法matlab实现附有注释(The matlab code of wolf swarm algorithm, the realization of classical wolf swarm algorithm in MATLAB with notes)