Linear Systems (Vestigal Sidebands): How do I solve this problem? I want to study it but I got low marks for this problem
Linear Systems (Vestigal Sidebands): How do I solve this problem? I want to study it but I got low marks for this problem
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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Linear Systems (Vestigal Sidebands): How do I solve this problem? I want to study it but I got low marks for this problem
![A shaping filter H,(w) used for vestigial side-band (VSB) modulation is shown below,
H(c)
NA.
1/2-
-003 -0₂-0₂
-00₂ -004
where @₁ = 10000 rad/s, w₂= 12000 rad/s, w3 = 14000 rad/s, w₁ = 18000 rad/s,
and w5 = 20000 rad/s. The carrier frequency is we = 11000 rad/s and the baseband
signal bandwidth is 7000 rad/s. Consider the block diagram in the lecture notes for VSB
modulation and demodulation.
a) Sketch the corresponding receiving filter H(o). Assume H₂(w) = 0 for
w≥ 7000л rad/s.
b) Write the mathematical expression of H (w) in terms of the rectangular function
(see the definition of the rectangular function below).
c) By using the inverse Fourier transform, find the mathematical expression of h (t).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F0db2fc55-e4c0-49c1-b04a-228dadaa58e5%2F35627b89-a384-4c13-aaf8-e43c4e45a148%2Fluzukl_processed.png&w=3840&q=75)
Transcribed Image Text:A shaping filter H,(w) used for vestigial side-band (VSB) modulation is shown below,
H(c)
NA.
1/2-
-003 -0₂-0₂
-00₂ -004
where @₁ = 10000 rad/s, w₂= 12000 rad/s, w3 = 14000 rad/s, w₁ = 18000 rad/s,
and w5 = 20000 rad/s. The carrier frequency is we = 11000 rad/s and the baseband
signal bandwidth is 7000 rad/s. Consider the block diagram in the lecture notes for VSB
modulation and demodulation.
a) Sketch the corresponding receiving filter H(o). Assume H₂(w) = 0 for
w≥ 7000л rad/s.
b) Write the mathematical expression of H (w) in terms of the rectangular function
(see the definition of the rectangular function below).
c) By using the inverse Fourier transform, find the mathematical expression of h (t).
Expert Solution
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Step 1: what is given and what is required:
Given:
Shaping filter for VSB modulation,
with
we need to do:
a) Sktech of receiving filter assuming
b) write mathematical expression for in terms of rectangular function.
c) find impulse response h0(t) by taking inverse Fourier ransform.
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