Question: Without actually computing them, but using appropriate sketches, tell if the Fourier transforms of the signals given below are real, imaginary, or neither; even, odd,
Without actually computing them, but using appropriate sketches, tell if the Fourier transforms of the signals given below are real, imaginary, or neither; even, odd, or neither. Give your reasoning in each case.
(a) x1(t) = II (t + 1/2) - II (t - 1/2)
(b) x2(t) = II(t/2) + II (t)
(c) x3(t) = sin(2πt) II (t)
(d) x4(t) = sin (2πt + π/4) II (t)
(e) x5 (t) = cos (2πt) II (t)
(f) x6 (t) = 1/ [1 + (t/5)4]
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a This is an odd signal so its Fourier transform is odd and purely imaginary b This is ... View full answer
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