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Signal and systems miscellaneous

Signals and Systems

  1. A signal f(t) has energy E, the energy of the signal f(2t) will be energy—
    1. E
    2. E
      2
    3. 2E
    4. None of these
Correct Option: B

We know that energy of a signal is given as
E = ∫–∞ |f(t)|2dt
Consider energy for signal f(2t) is E′
then E′ = ∫–∞ |f(p)|2dp
Let 2t = p

dt =
dp
2

E′ = ∫–∞ |f(t)|2 dt 2
E′ =
E
2

(∵ by using change of variable property)
Hence, alternative (B) is the correct choice.



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