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The Complex Gaussian Distribution

时间:2014-06-05 15:57:51      阅读:373      评论:0      收藏:0      [点我收藏+]

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This is the beginning of my plan. Or this is a manifesto, a motivation for me. Note what I read, good or bad, old or new, Tao or method. Maybe sometimes not care about the formal usage of the language. From the words I write down, may that someday I can comprehend the theory directly without the words.

The normal or Gaussian distribution is often denoted by $\mathcal N(\mu,\sigma^2)$. When a random variable $X$ is distributed normally with mean $\mu$ and variance $\sigma^2$, we write $X \sim \mathcal N(\mu,\sigma^2)$. The formula for the distribution is

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The additive complex Gaussian $\boldsymbol n = \boldsymbol n_r + j\boldsymbol n_i$ distribution is $\mathcal{CN}(0,\sigma^2).$

The real part is $\mathcal N(0,{\sigma^2}/2)$

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The imaginary part is $\mathcal N(0,{\sigma^2}/2)$

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Because $\boldsymbol n_r$ and $\boldsymbol n_i$ are independent random variables, then

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The Complex Gaussian Distribution,布布扣,bubuko.com

The Complex Gaussian Distribution

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原文地址:http://www.cnblogs.com/xiyi2013/p/3768894.html

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