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4.21. Compute the Fourier transform of each of the following signals: (a) [e-«' cos wot]u(t), a > 0 (b) е-ЗП sin 2t 1 + cos Tt, t< 1 (c) x(t) (d) E-o a* 8(t – kT), |a| < 1 || > 1 k=0 (e) [te-2' sin 4t]u(t) (f) [sin Tt sin 27(1-1) T(t-1) (g) x(t) as shown in Figure P4.21(a) (h) x(t) as shown in Figure P4.21(b) (i) x(t) = 1- t², 0

4.21. Compute the Fourier transform of each of the following signals: (a) [e-«' cos wot]u(t), a > 0 (b) е-ЗП sin 2t 1 + cos Tt, t< 1 (c) x(t) (d) E-o a* 8(t – kT), |a| < 1 || > 1 k=0 (e) [te-2' sin 4t]u(t) (f) [sin Tt sin 27(1-1) T(t-1) (g) x(t) as shown in Figure P4.21(a) (h) x(t) as shown in Figure P4.21(b) (i) x(t) = 1- t², 0

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
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4.21. Compute the Fourier transform of each of the following signals: (a) [e-at cos wot]u(t), a > 0 (b) e-3l sin 2t 1 + cos Tt, t| < 1 (c) x(t) (d) E-0 ak 8(t – kT), |a| < 1 |e| > 1 0, (e) [te-2' sin 4t]u(t) (f) [ sin sin 2a=1] sin 27(1-1) rt 7(t-1) (h) x(t) as shown in Figure P4.21(b) (g) x(t) as shown in Figure P4.21(a) 1 - t2, 0, 0 <t<1 (i) x(t) = (1) E, e-k-2n| otherwise x (t) x (t) ... -2 -1 1 2 -6 -5 -4 -3 -2 -1 1 2 3 4 6 7 8 t 1 (a) (b)
Transcribed Image Text:4.21. Compute the Fourier transform of each of the following signals: (a) [e-at cos wot]u(t), a > 0 (b) e-3l sin 2t 1 + cos Tt, t| < 1 (c) x(t) (d) E-0 ak 8(t – kT), |a| < 1 |e| > 1 0, (e) [te-2' sin 4t]u(t) (f) [ sin sin 2a=1] sin 27(1-1) rt 7(t-1) (h) x(t) as shown in Figure P4.21(b) (g) x(t) as shown in Figure P4.21(a) 1 - t2, 0, 0 <t<1 (i) x(t) = (1) E, e-k-2n| otherwise x (t) x (t) ... -2 -1 1 2 -6 -5 -4 -3 -2 -1 1 2 3 4 6 7 8 t 1 (a) (b)
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