I am trying to get the DTFT $H(\Omega)$ of $h[n]=\delta[n]+\delta[n-1]$.
I used some DTFT pairs and I have:
$$H(\Omega) = 1 + e^{-j\Omega}$$
However, the answer provided is:
$$H(\Omega)=2e^{-j\Omega/2}\cos(\Omega/2)$$
So I am wondering, how can I finagle the calculated $H(\Omega)$ into the solution's form?
Thanks.
Note: $j:=i$