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用MATLAB实现QPSK在AWGN信道的调制(Using MATLAB to achieve QPSK modulation in AWGN channel)

matlab simulation of four quadrant chopper

说明：  老师给的一个可以作为初学S变换的例程，是正确的(A teacher can serve as a beginner to the S-transform routines, is correct)

彩色空间转换，RGB和YUV互转的matlab源码(RGB converting to YUV, YUV converting to RGB, Matlab source code)

绘制甘特图的一个程序，已调试通过，接收到流水车间的指派表和时间表后绘制甘特图(接收到流水车间的指派表和时间表后绘制甘特图，绘制甘特图的一个程序，已调试通过，)

信号功率谱分析，方法三、四，已在此详细编写(Signal power spectral analysis, methods, three, four, has been prepared in detail here)

两个16个阵元的平面阵波束形成。很好用的(16 element array of two plane array beamforming. Very good use)

清华大学张贤达老师的矩阵分析与应用课件，详细介绍了矩阵在通信领域的应用，具有理论学习的价值。(Tsinghua University, Zhang XD teacher Matrix Analysis and Applications courseware, details the application of matrix in the communication field, the value of a theoretical study.)

粒子群算法，也称粒子群优化算法（Particle Swarm Optimization），缩写为 PSO， 是近年来发展起来的一种新的进化算法(Evolutionary Algorithm - EA)。PSO 算法属于进化算法的一种，和模拟退火算法相似，它也是从随机解出发，通过迭代寻找最优解，它也是通过适应度来评价解的品质，但它比遗传算法规则更为简单，它没有遗传算法的“交叉”(Crossover) 和“变异”(Mutation) 操作，它通过追随当前搜索到的最优值来寻找全局最优。这种算法以其实现容易、精度高、收敛快等优点引起了学术界的重视，并且在解决实际问题中展示了其优越性。粒子群算法是一种并行算法。 BP（Back Propagation）神经网络是1986年由Rumelhart和McCelland为首的科学家小组提出，是一种按误差逆传播算法训练的多层前馈网络，是目前应用最广泛的神经网络模型之一。BP网络能学习和存贮大量的输入-输出模式映射关系，而无需事前揭示描述这种映射关系的数学方程。它的学习规则是使用最速下降法，通过反向传播来不断调整网络的权值和阈值，使网络的误差平方和最小。BP神经网络模型拓扑结构包括输入层（input）、隐层(hidden layer)和输出层(output layer)。(Particle swarm optimization, also known as particle swarm optimization (Particle Swarm Optimization), abbreviated as PSO, is a new evolutionary algorithm developed in recent years (Evolutionary Algorithm- EA). Kind, and simulated annealing algorithm PSO algorithm is similar evolutionary algorithms, it is also starting a random solution, through an iterative search for the optimal solution, which is also used to uate the quality through fitness solution, but it is simpler than genetic algorithm rules It has no genetic algorithm " crossover" (Crossover) and " variant" (Mutation) operation, which by following the current search to find the optimal value to the global optimum. This algorithm is its easy implementation, high accuracy, fast convergence, etc. attracted academic attention and show its superiority in solving practical problems. PSO algorithm is a parallel algorithm. BP (Back Propagation) neural network is a 1986 team of scientists headed by Rumelhart and McC)

计算Lyapunov指数,不知道正确与否，希望高人可以指点。(Lyapunov exponent Lyapunov exponent Lyapunov exponent Lyapunov exponent Lyapunov exponent)