A. Fourier Transform properties
(a) If x ( t ) is real and
even, show that its Fourier transform is real for all ? (i.e., its imaginary
part is identically 0).
(b) If x ( t ) is real and odd,
show that its Fourier transform is imaginary for all ? (i.e., its real part is
B. Compute the DTFT of the
(a) a [ n ] = ? [ n ? 2] + ? [
n + 2]
(b) b [ n ] = u [ n ] ? u [ n ?
(c) c [ n ] = ( sin (( ?/ 4) n
)/ ?n ) ^2