ISRO Scientist or Engineer Electronics 2010 Question 2

Question 2

Consider a low pass random process with a white noise power spectral density
$$ S_{x} (\omega)=\frac{N}{2}$$ where $$-2 \pi B \leq \omega \leq 2 \pi B $$
                    0 elsewhere
The Auto-correlation function $$R_{x}(\tau)$$ is

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