I'm at a loss trying to answer the following question:
The frequency response $H(j\omega)$ of a length 4 FIR filter with real impulse response has the following specific values: $H(j\cdot0) = 2$, $H(j\cdot \pi/2 ) = 7 − 3j$, and $H(j\cdot\pi) = 0$. Determine the impulse response function $h(n)$.
I can't think of anything to do but apply the inverse DTFT but how would that work at specific values? Is there another method I'm forgetting?