I'm struggling to see how to solve for a particular power spectrum given an autocorrelation function. I understand the Wiener-Khinchin theorem provides me with the fact that the Fourier transform of the autocorrelation function (which is given) is equal to the power spectrum of the function:
$$ F[R_{gg}(t)] = S_{gg}(t) $$
where $ R_{gg}(t) $ is the autocorrelation function and $ S_{gg} $ is the power spectrum.
The equation that I am given:
$$ R(\tau) = 1 - |\tau|,\ |\tau| \leq 1 \\ R(\tau) = 0\ \text{in all other cases} $$
Can anyone point me in the right direction as to how I should begin to deal with this?