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I have the following continuous-time random process:

[tex]v(t)=\sum_{k=0}^{K-1}\alpha_k(t)d_k+w(t)[/tex]

where d_k are i.i.d. random variables with zero mean and variance 1, alpha_k(t) is given, and w(t) is additive white Gaussian process of zero-mean and variance N_0.

Can we say that the average power of v(t) is E{|v(t)|^2}?

Thanks

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# The average of a random process

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