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Signal and systems miscellaneous

Signals and Systems

  1. Convolution of x(t + 4) with impulse function δ(t – 6) is equal to—
    1. x(t – 10)
    2. x(t + 2)
    3. x(t – 2)
    4. x(t – 4)
Correct Option: C

Let the convolution of x(t + 4) and δ(t – 6) is y(t)
y(t) = x(t + 4)* δ(t – 6)

x(t)*δ(t) = x(t)
x(t)*δ(t + t 0) = x(t + t 0)

or
y(t) = x(t – 6 + 4)
or
y(t) = x(t – 2)
Hence, alternative (C) in the correct choice.



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