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1. The Fourier transform of f(t) = F(w) = e-alwl = F(w) 10 5 -60 -aw where a > 0. Let a = 0.3 and we = 25. F(w) is shown below. Notice that F(0) = = e w≥0 a TT eaw, w<0 a t²+a² -40 is given by -20 اليا 20 40 60 a) Find and plot the Fourier transform G(o) of g(t) = f(t)ej25t for -60 ≤ ≤ 60. b) Find and plot the Fourier transform H(o) of h(t) = f(t) cos(25t) for -60 ≤ ≤ 60. c) Find the 3 dB bandwidth of F(co).

1. The Fourier transform of f(t) = F(w) = e-alwl = F(w) 10 5 -60 -aw where a > 0. Let a = 0.3 and we = 25. F(w) is shown below. Notice that F(0) = = e w≥0 a TT eaw, w<0 a t²+a² -40 is given by -20 اليا 20 40 60 a) Find and plot the Fourier transform G(o) of g(t) = f(t)ej25t for -60 ≤ ≤ 60. b) Find and plot the Fourier transform H(o) of h(t) = f(t) cos(25t) for -60 ≤ ≤ 60. c) Find the 3 dB bandwidth of F(co).

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...
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1. The Fourier transform of f(t) = F(w) = e-alw| 10 F(w) 5 = -60 a where a > 0. Let a = 0.3 and we = 25. F(w) is shown below. Notice that F(0) = = t² + a² e-aw, w 20 w <0 -40 is given by -20 0 ليا 20 40 RIC 60 (a) Find and plot the Fourier transform G(o) of g(t) = f(t)ei25t for -60 ≤ ≤ 60. (b) Find and plot the Fourier transform H(o) of h(t) = f(t) cos (25t) for -60 ≤ ≤ 60. c) Find the 3 dB bandwidth of F(co). d) Find the 3 dB bandwidth of H(o).
Transcribed Image Text:1. The Fourier transform of f(t) = F(w) = e-alw| 10 F(w) 5 = -60 a where a > 0. Let a = 0.3 and we = 25. F(w) is shown below. Notice that F(0) = = t² + a² e-aw, w 20 w <0 -40 is given by -20 0 ليا 20 40 RIC 60 (a) Find and plot the Fourier transform G(o) of g(t) = f(t)ei25t for -60 ≤ ≤ 60. (b) Find and plot the Fourier transform H(o) of h(t) = f(t) cos (25t) for -60 ≤ ≤ 60. c) Find the 3 dB bandwidth of F(co). d) Find the 3 dB bandwidth of H(o).
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