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==频率相关(有色噪声)的情况==
 
==频率相关(有色噪声)的情况==
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In the simple version above, the signal and noise are fully uncorrelated, in which case {\displaystyle S+N} S+N is the total power of the received signal and noise together. A generalization of the above equation for the case where the additive noise is not white (or that the {\displaystyle S/N} S/N is not constant with frequency over the bandwidth) is obtained by treating the channel as many narrow, independent Gaussian channels in parallel:
      
在前面的内容中,信号和噪声是完全不相关的,所以<math>S + N</math>是接收信号和噪声的总功率。一般而言,对于上述方程在加性噪声不是白噪声的情况下,s+N不是常数,气对于加性噪声不是白噪声的情况(或S/N在带宽上的频率上不是恒定的),通过将信道并行地看作许多窄的、独立的高斯信道,可以得到上述方程:
 
在前面的内容中,信号和噪声是完全不相关的,所以<math>S + N</math>是接收信号和噪声的总功率。一般而言,对于上述方程在加性噪声不是白噪声的情况下,s+N不是常数,气对于加性噪声不是白噪声的情况(或S/N在带宽上的频率上不是恒定的),通过将信道并行地看作许多窄的、独立的高斯信道,可以得到上述方程:
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