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Find the value of $x(n) = cos(0.25 \pi n)$ for n=0, 1, 2, 3. Compute the DFT of x(n) using FFT flow graph.
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n $\pi$ $\cos \pi$
0 0 1
1 $\dfrac{\pi}{4}$ $\dfrac{1}{\sqrt2}$
2 $\dfrac {\pi}{2}$ 0
+3 $\dfrac{3\pi}{4}$ $\dfrac{1}{\sqrt2}$

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Result: X(k)={1, 1-√2 j, 1, 1+√2 j}

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