2.F(w) =Let Wc= tri (4,2x)=F(w)The Fourier transform of f(t) = 2.1 sinc² (2.1t) is given byW4.2Xπ'W0-50=-40IIISI-30+130. F(w) is shown below. Notice that F(0) =1.>4.2XT0,– 4.2 x π < ω < 00 < ω < 4.2 × πelsewhere-20-1001020304050(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).

Answered: 2. F(w) = tri i (1.2×7) The Fourier…

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...

See similar textbooks

Related questions

Question

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).

Expert Solution

Step 1: what is given and what to do:

Since you have posted a question with multiple sub parts, we will provide the solution only to the first three sub parts as per our Q&A guidelines. Please repost the remaining sub parts separately.

Given:

Fourier transform of the signal $f open parentheses t close parentheses equals 2.1 space sin c squared open parentheses 2.1 t close parentheses$ is,

$F open parentheses omega close parentheses equals t r i open parentheses fraction numerator omega over denominator 4.2 straight pi end fraction close parentheses equals open curly brackets table row cell 1 plus fraction numerator omega over denominator 4.2 straight pi end fraction end cell cell semicolon minus 4.2 straight pi less or equal than omega less than 0 end cell row cell 1 minus fraction numerator omega over denominator 4.2 straight pi end fraction end cell cell semicolon 0 less or equal than omega less than 4.2 straight pi end cell end table close$

we need to find:

a) find and plot FT of $g open parentheses t close parentheses equals f left parenthesis t right parenthesis e to the power of j 30 t end exponent space for space minus 50 less or equal than straight omega less or equal than 50$

b) find and plot FT of $h open parentheses t close parentheses equals f left parenthesis t right parenthesis cos open parentheses 30 t close parentheses space for space minus 50 less or equal than straight omega less or equal than 50$

c) find the 3 dB bandwidth of $F open parentheses omega close parentheses$

Trending now

This is a popular solution!

Step by step

Solved in 5 steps with 20 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, electrical-engineering and related others by exploring similar questions and additional content below.

Similar questions