16) For a periodic signal x(t) with period T, 2n, the line spectra are shown in the figure below, the exponential Fourier series of x(t) is: %3D

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16) For a periodic signal x(t) with period T, = 2n, the line spectra are shown in the figure below,
the exponential Fourier series of x(t) is:
%3D
-5-4-3-2-1 0
3.
4.
nw.
nw
(a)
-e-jt
1
j3t
j2t
e/3t
ej4t
(b)
+el
2
+-ej6t
e-18t
+
2
(c)
-je-jt + jelt -e-12t +!
(d)
e-i(t-n/2) + ej(t-/2) +e-j(2t-1/2) +ej(2t-n/2) +
4
jzt
e
4.
1
e-1(3t-n/2) +
-j4t
eitt
4
3
1
1
2
-(4t-1/2)
+el(4t-x/2)
(e)
None of these
Transcribed Image Text:16) For a periodic signal x(t) with period T, = 2n, the line spectra are shown in the figure below, the exponential Fourier series of x(t) is: %3D -5-4-3-2-1 0 3. 4. nw. nw (a) -e-jt 1 j3t j2t e/3t ej4t (b) +el 2 +-ej6t e-18t + 2 (c) -je-jt + jelt -e-12t +! (d) e-i(t-n/2) + ej(t-/2) +e-j(2t-1/2) +ej(2t-n/2) + 4 jzt e 4. 1 e-1(3t-n/2) + -j4t eitt 4 3 1 1 2 -(4t-1/2) +el(4t-x/2) (e) None of these
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