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A signal f(t) has energy E, the energy of the signal f(2t) will be energy—
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- E
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E 2 - 2E
- 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 = | 2 |
E′ = ∫∞–∞ |f(t)|2 dt 2
E′ = | 2 |
(∵ by using change of variable property)
Hence, alternative (B) is the correct choice.