Estimate the PSD of the signal [x(n)=mathrm{e}^{mathrm{j}(2 pi / 8) n}+x_{1}(n)] with (x_{1}(n)) being a white Gaussian

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Estimate the PSD of the signal

\[x(n)=\mathrm{e}^{\mathrm{j}(2 \pi / 8) n}+x_{1}(n)\]

with \(x_{1}(n)\) being a white Gaussian noise with unit variance.

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