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Q#1 Laplace Transform GATE EE 2020 MCQ +1 mark -0.33 marks

Which of the following statements is true about the two sided Laplace transform?

It exists for every signal that may or may not have a Fourier transform.

It has no poles for any bounded signal that is non-zero only inside a finite time interval.

The number of finite poles and finite zeroes must be equal.

If a signal can be expressed as a weighted sum of shifted one sided exponentials, then its Laplace Transform will have no poles.

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