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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

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)
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).
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).
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