1 + cos Tt, t < 1 (c) x(t) =0, (d) E-0 ak 8(? – kT), |a| < 1 %3D I|| > 1 (f) [sin | sin 27(t-1) T(1-1) sin mt (e) [te-2' sin 4t]u(t)

Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
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4.21. Compute the Fourier transform of each of the following signals:
(a) [e-a! cos wot]u(t), a > 0
(b) e-3 sin 2t
6.
{
1 + cos Tt, t< 1
0,
(c) x(t) =
(d) E-0 a* 8(t –- kT), la| < 1
It| > 1
(e) [te-2' sin 4t]u(t)
(f) [
Tt ][ sin 27(1-1)]
T(1-1)
(g) x(t) as shown in Figure P4.21(a)
1 – 12, 0<t<1
0,
(h) x(t) as shown in Figure P4.21(b)
(i) x(t) =
(j) E
otherwise
x (t)
x (t)
-1
1
2
t
-6 -5
-4 -3
2 -1
1
2
3
4
7
8 t
-1
(a)
(b)
Transcribed Image Text:4.21. Compute the Fourier transform of each of the following signals: (a) [e-a! cos wot]u(t), a > 0 (b) e-3 sin 2t 6. { 1 + cos Tt, t< 1 0, (c) x(t) = (d) E-0 a* 8(t –- kT), la| < 1 It| > 1 (e) [te-2' sin 4t]u(t) (f) [ Tt ][ sin 27(1-1)] T(1-1) (g) x(t) as shown in Figure P4.21(a) 1 – 12, 0<t<1 0, (h) x(t) as shown in Figure P4.21(b) (i) x(t) = (j) E otherwise x (t) x (t) -1 1 2 t -6 -5 -4 -3 2 -1 1 2 3 4 7 8 t -1 (a) (b)
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