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A real valued signal x(t) limited to frequency band  |f| < ω/2 is passed through an LTI system whose frequency response is

The output of the system is
  • a)
    x(t + 4)
  • b)
    (x - 4)
  • c)
    x(t + 2)
  • d)
    x(t - 2)
Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
A real valued signal x(t) limited to frequency band |f| < ω/2...
y(t) = x(t)∗h(t)
Taking the Fourier Transform, we get:
Y(f) = X(f)H(f)
Y(f) = X(f)e−j4πf
Taking the inverse Fourier Transform of Y(f), we get:
y(t) = x(x - 2)
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Community Answer
A real valued signal x(t) limited to frequency band |f| < ω/2...
y(t) = x(t)∗h(t)
Taking the Fourier Transform, we get:
Y(f) = X(f)H(f)
Y(f) = X(f)e−j4πf
Taking the inverse Fourier Transform of Y(f), we get:
y(t) = x(x - 2)
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A real valued signal x(t) limited to frequency band |f| < ω/2 is passed through an LTI system whose frequency response isThe output of the system isa)x(t + 4)b)(x - 4)c)x(t + 2)d)x(t - 2)Correct answer is option 'D'. Can you explain this answer?
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