Let X(t) be a zero-mean Gaussian random process with Rx(τ) = 8 sinc (4τ)

Suppose X(t) is input to an LTI system with Transfer function

\(H\left( f \right) = \left\{ {\begin{array}{*{20}{c}} {\frac{1}{2}}&{\left| f \right| < 1}\\ 0&{otherwise} \end{array}} \right.\)

The auto correlation of the output is:

1
sinc (2τ)
2
4 sinc (2τ)
3
2 sinc (4τ)
4
sinc (4τ)

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