2. F(w) = tri i (1.2×7) The Fourier transform of f(t) = 2.1 sinc² (2.1t) is given by - 4.2 x π < ω < 0 0 < ω < 4.2 × π F(w) 0 -50 = -40 1+ 1 0, elsewhere Let wc = 30. F(w) is shown below. Notice that F(0) =1. W 4.2XT' W -30 4.2Xπ' -20 -10 0 plecau 10 20 30 40 50 (a) Find and plot the Fourier transform G(w) of g(t) = f(t)ej30t for -50 ≤ ≤ 50. (b) Find and plot the Fourier transform H(w) of h(t) = f(t) cos(30t) for -50 ≤ ≤ 50. (c) Find the 3 dB bandwidth of F(o). (d) Find the 3 dB bandwidth of H(o).

Introductory Circuit Analysis (13th Edition)
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ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
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2.
F(w) =
Let Wc
= tri (4,2x)
=
F(w)
The Fourier transform of f(t) = 2.1 sinc² (2.1t) is given by
W
4.2Xπ'
W
0
-50
=
-40
IIISI
-30
+
1
30. F(w) is shown below. Notice that F(0) =1.
>
4.2XT
0,
– 4.2 x π < ω < 0
0 < ω < 4.2 × π
elsewhere
-20
-10
0
10
20
30
40
50
(a) Find and plot the Fourier transform G(w) of g(t) = f(t)ej³⁰t for -50 ≤ w ≤ 50.
(b) Find and plot the Fourier transform H(w) of h(t) = f(t) cos(30t) for -50 ≤ ≤ 50.
(c) Find the 3 dB bandwidth of F(w).
(d) Find the 3 dB bandwidth of H(w).
Transcribed Image Text:2. F(w) = Let Wc = tri (4,2x) = F(w) The Fourier transform of f(t) = 2.1 sinc² (2.1t) is given by W 4.2Xπ' W 0 -50 = -40 IIISI -30 + 1 30. F(w) is shown below. Notice that F(0) =1. > 4.2XT 0, – 4.2 x π < ω < 0 0 < ω < 4.2 × π elsewhere -20 -10 0 10 20 30 40 50 (a) Find and plot the Fourier transform G(w) of g(t) = f(t)ej³⁰t for -50 ≤ w ≤ 50. (b) Find and plot the Fourier transform H(w) of h(t) = f(t) cos(30t) for -50 ≤ ≤ 50. (c) Find the 3 dB bandwidth of F(w). (d) Find the 3 dB bandwidth of H(w).
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