Question: An LTI system has impulse response (h(t)=left{begin{array}{ll}exp (-2 t) & t geq 0 0 & t <0end{array}ight}). (a) Find the autocorrelation function (R_{h}(tau)). (b)

An LTI system has impulse response \(h(t)=\left\{\begin{array}{ll}\exp (-2 t) & t \geq 0 \\ 0 & t<0\end{array}ight\}\).

(a) Find the autocorrelation function \(R_{h}(\tau)\).

(b) Assume the input of this system is \(x(t)=3 \cos (100 t)\). What is the output?

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