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The frequency response H(ω) of a VSB filter is shown below.
Find the VSB signal XVSB(t) when m(t) = a1 cos ω1t + a2 cos ω2t
  • a)
    (a1/8) cos (ωc - ω1)t + (2a1/8) cos (ωc + ω1)t + a2 cos (ωc + ω2)t 
  • b)
    (a1/8) cos (ωc - ω1)t + (3a1/8) cos (ωc + ω1)t + (a2/2) cos (ωc + ω2)t 
  • c)
    (a1/8) cos (ωc - ω2)t + (3a1/8) cos (ωc - ω1)t
  • d)
    (a1/4) cos (ωc - ω2t) + (2a1/8) cos (ωc + ω1t + (a2/4) cos (ωc + ω2)t 
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
The frequency response H(ω) of a VSB filter is shown below.Find ...
Concept:
VSB (vestigial sideband) transmission transmits one sideband fully and the other sideband partially thus, reducing the bandwidth requirement.
The spectrum of a vestigial sideband is as shown:
Analysis:
xDSB(t) = m(t) cos ωct
= [a1 cos ω1t + a2 cos ω2t] cos ωct
= a1 cos ω1t cos ωct + a2 cos ω2t cos ωct
= a1/2 [cos (ωc - ω1)t + cos (ωc + ω1)t] + a2/2 [cos (ωc - ω2)t + cos (ωc - ω2)t
so, these are the sinusoids that passes through H(ω) and are having gains
0.25, 0.75, 0, 1
∴ xDSB(t) = (a1/8) cos(ωc - ω1)t + (3a1/8) cos(ωc + ω1)t + 0 + (a2/2) cos(ωc + ω2)t
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Most Upvoted Answer
The frequency response H(ω) of a VSB filter is shown below.Find ...
Concept:
VSB (vestigial sideband) transmission transmits one sideband fully and the other sideband partially thus, reducing the bandwidth requirement.
The spectrum of a vestigial sideband is as shown:
Analysis:
xDSB(t) = m(t) cos ωct
= [a1 cos ω1t + a2 cos ω2t] cos ωct
= a1 cos ω1t cos ωct + a2 cos ω2t cos ωct
= a1/2 [cos (ωc - ω1)t + cos (ωc + ω1)t] + a2/2 [cos (ωc - ω2)t + cos (ωc - ω2)t
so, these are the sinusoids that passes through H(ω) and are having gains
0.25, 0.75, 0, 1
∴ xDSB(t) = (a1/8) cos(ωc - ω1)t + (3a1/8) cos(ωc + ω1)t + 0 + (a2/2) cos(ωc + ω2)t
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The frequency response H(ω) of a VSB filter is shown below.Find the VSB signal XVSB(t) when m(t) = a1 cos ω1t + a2 cos ω2ta)(a1/8) cos (ωc - ω1)t + (2a1/8) cos (ωc + ω1)t + a2 cos (ωc + ω2)tb)(a1/8) cos (ωc - ω1)t + (3a1/8) cos (ωc + ω1)t + (a2/2) cos (ωc + ω2)tc)(a1/8) cos (ωc - ω2)t + (3a1/8) cos (ωc - ω1)td)(a1/4) cos (ωc - ω2t) + (2a1/8) cos (ωc + ω1t + (a2/4) cos (ωc + ω2)tCorrect answer is option 'B'. Can you explain this answer?
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The frequency response H(ω) of a VSB filter is shown below.Find the VSB signal XVSB(t) when m(t) = a1 cos ω1t + a2 cos ω2ta)(a1/8) cos (ωc - ω1)t + (2a1/8) cos (ωc + ω1)t + a2 cos (ωc + ω2)tb)(a1/8) cos (ωc - ω1)t + (3a1/8) cos (ωc + ω1)t + (a2/2) cos (ωc + ω2)tc)(a1/8) cos (ωc - ω2)t + (3a1/8) cos (ωc - ω1)td)(a1/4) cos (ωc - ω2t) + (2a1/8) cos (ωc + ω1t + (a2/4) cos (ωc + ω2)tCorrect answer is option 'B'. Can you explain this answer? for Electronics and Communication Engineering (ECE) 2025 is part of Electronics and Communication Engineering (ECE) preparation. The Question and answers have been prepared according to the Electronics and Communication Engineering (ECE) exam syllabus. Information about The frequency response H(ω) of a VSB filter is shown below.Find the VSB signal XVSB(t) when m(t) = a1 cos ω1t + a2 cos ω2ta)(a1/8) cos (ωc - ω1)t + (2a1/8) cos (ωc + ω1)t + a2 cos (ωc + ω2)tb)(a1/8) cos (ωc - ω1)t + (3a1/8) cos (ωc + ω1)t + (a2/2) cos (ωc + ω2)tc)(a1/8) cos (ωc - ω2)t + (3a1/8) cos (ωc - ω1)td)(a1/4) cos (ωc - ω2t) + (2a1/8) cos (ωc + ω1t + (a2/4) cos (ωc + ω2)tCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Electronics and Communication Engineering (ECE) 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The frequency response H(ω) of a VSB filter is shown below.Find the VSB signal XVSB(t) when m(t) = a1 cos ω1t + a2 cos ω2ta)(a1/8) cos (ωc - ω1)t + (2a1/8) cos (ωc + ω1)t + a2 cos (ωc + ω2)tb)(a1/8) cos (ωc - ω1)t + (3a1/8) cos (ωc + ω1)t + (a2/2) cos (ωc + ω2)tc)(a1/8) cos (ωc - ω2)t + (3a1/8) cos (ωc - ω1)td)(a1/4) cos (ωc - ω2t) + (2a1/8) cos (ωc + ω1t + (a2/4) cos (ωc + ω2)tCorrect answer is option 'B'. Can you explain this answer?.
Solutions for The frequency response H(ω) of a VSB filter is shown below.Find the VSB signal XVSB(t) when m(t) = a1 cos ω1t + a2 cos ω2ta)(a1/8) cos (ωc - ω1)t + (2a1/8) cos (ωc + ω1)t + a2 cos (ωc + ω2)tb)(a1/8) cos (ωc - ω1)t + (3a1/8) cos (ωc + ω1)t + (a2/2) cos (ωc + ω2)tc)(a1/8) cos (ωc - ω2)t + (3a1/8) cos (ωc - ω1)td)(a1/4) cos (ωc - ω2t) + (2a1/8) cos (ωc + ω1t + (a2/4) cos (ωc + ω2)tCorrect answer is option 'B'. Can you explain this answer? in English & in Hindi are available as part of our courses for Electronics and Communication Engineering (ECE). Download more important topics, notes, lectures and mock test series for Electronics and Communication Engineering (ECE) Exam by signing up for free.
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