The signal having the Fourier transform X(ejΩ) =

The signal having the Fourier transform
X(e^jΩ) = 1, π/4 ≤|Ω|< 3π/4
0 0 ≤|Ω| < 3π/4, 3π/4 ≤|Ω ≤ π

will be

X(e^jΩ) =		1,		π/4 ≤\|Ω\|< 3π/4
X(e^jΩ) =		0		0 ≤\|Ω\| < 3π/4, 3π/4 ≤\|Ω ≤ π

2		sin		2πn		- sin		πn
n				4				4

1		sin		3πn		- sin		πn
πn				4				4

2		cos		3πn		+ cos		πn
n				4				4

1		cos		3πn		+ cos		πn
πn				4				4