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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.

written 8.0 years ago by teamques10 ★ 68k

•   modified 4.6 years ago

digital signal processing

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written 8.0 years ago by teamques10 ★ 68k

n	$\pi$	$\cos \pi$
0	0	1
1	$\dfrac{\pi}{4}$	$\dfrac{1}{\sqrt2}$
2	$\dfrac {\pi}{2}$	0
+3	$\dfrac{3\pi}{4}$	$\dfrac{1}{\sqrt2}$

Result: X(k)={1, 1-√2 j, 1, 1+√2 j}

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