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 If x(n)=cosω0n and W(ω) is the Fourier transform of the rectangular signal w(n), then what is the Fourier transform of the signal x(n).w(n)? 
  • a)
    1/2[W(ω-ω0)- W(ω+ω0)].
  • b)
    1/2[W(ω-ω0)+ W(ω+ω0)].
  • c)
    [W(ω-ω0)+ W(ω+ω0)].
  • d)
    [W(ω-ω0)- W(ω+ω0)].
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
If x(n)=cosω0n and W(ω) is the Fourier transform of the re...
Explanation: According to the exponential properties of Fourier transform, we get
Fourier transform of x(n).w(n)= 1/2[W(ω-ω0)+ W(ω+ω0)]
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Most Upvoted Answer
If x(n)=cosω0n and W(ω) is the Fourier transform of the re...
The statement seems to be incomplete. It starts with "If x(n) = cos" but does not provide any information about what x(n) is equal to cos of.
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If x(n)=cosω0n and W(ω) is the Fourier transform of the rectangular signal w(n), then what is the Fourier transform of the signal x(n).w(n)?a)1/2[W(ω-ω0)- W(ω+ω0)].b)1/2[W(ω-ω0)+ W(ω+ω0)].c)[W(ω-ω0)+ W(ω+ω0)].d)[W(ω-ω0)- W(ω+ω0)].Correct answer is option 'B'. Can you explain this answer?
Question Description
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