33 lines
522 B
Markdown
33 lines
522 B
Markdown
# 高斯分布
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## 一维高斯分布
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$$G(x)=\frac{1}{\sigma\sqrt{2\pi}}e^{-\frac{(x-\mu)^2}{2\sigma^2}}$$
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Matlab 图像绘制程序：
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```m
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sig=1;
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mu=0;
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x=-5:0.1:5;
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gx=e.^(-(x-mu).^2/(2*sig^2))/(sig*sqrt(2*pi));
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plot(x, gx)
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```
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## 二维高斯分布
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$$G(x,y)=Ae^{(-\frac{(x-x_0)^2}{2\sigma_x^2}+\frac{(y-y_0)^2}{2\sigma_y^2})}$$
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Matlab 图像绘制程序：
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```m
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% A=1
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% σx=σy=1
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% x0=y0=0
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x1 = [0:0.1:10];
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y1 = [0:0.1:10];
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[x,y] = meshgrid(x1,y1);
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gxy = exp(-((x-5).*(x-5)+(y-5).*(y-5))/2);
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surf(x, y, gxy);
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```
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