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Signal and systems miscellaneous

Signals and Systems

  1. Let u(t) be the unit step function. Which of the wave forms in fig. corresponds to the convolution of u(t) – u(t – 1) with u(t) – u(t – 2)?
Correct Option: B

Given x1(t) = u(t) – u(t – 1)
x2(t) = u(t) – u(t – 2)

x(t) = x1(t) * x2(t)

or x(t) = x1(τ) x2(t – τ )dτ
– ∞


Hence, alternative (B) is the correct choice.



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