White gaussian noise power

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magnetra

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gaussian noise power

I have samples for white gaussian noise(WGN) w[n] for n = 1:N. The power of this WGN is \[\frac{1}{N} \sum_{l = 1}^{N} w^2[n]\] . I can use this to calculate for given intervals with Matlab but I want to find an analytic expression for this? How do I proceed? Should I be using PSD of WGN ?

M\]
 
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