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Signals and Systems
Laplace Transform
Laplace Transform Properties

Questions mapped to Laplace Transform Properties under Laplace Transform.

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Q#1 Laplace Transform GATE EE 2020 (Set 1) 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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Q#2 Laplace Transform GATE EE 2019 (Set 1) MCQ +1 mark -0.33 marks

A system transfer function is  . If  , and all other coefficients are positive, the transfer function represents a

Band pass filter

High pass filter

Notch filter

Low pass filter

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Q#3 Laplace Transform GATE EE 2015 (Set 2) MCQ +1 mark -0.33 marks

The Laplace transform of  is . The Laplace transform of  is

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Q#4 Laplace Transform GATE EE 2014 (Set 1) MCQ +1 mark -0.33 marks

Let  be the Laplace transform of a signal x(t). Then,  is

0

3

5

21

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Q#5 Laplace Transform GATE EE 2013 (Set 1) MCQ +1 mark -0.33 marks

Which one of the following statements is NOT TRUE for a continuous time causal and stable LTI system?        

All the poles of the system must lie on the left side of the  axis.

Zeros of the system can lie anywhere in the s-plane.

All the poles must lie within |s|=1.

All the roots of the characteristic equation must be located on the left side of the jw axis.

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Q#6 Laplace Transform GATE EE 2012 (Set 1) MCQ +1 mark -0.33 marks

The unilateral Laplace transform of f(t) is . The unilateral Laplace transform of t f(t) is

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Q#7 Laplace Transform GATE EE 2011 (Set 1) MCQ +1 mark -0.33 marks

Given two continuous time signals  and  which exist for t > 0, the convolution  is

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Q#8 Laplace Transform GATE EE 2011 (Set 1) MCQ +2 marks -0.66 marks

Let the Laplace transform of a function f(t) which exists for t > 0 be  and the Laplace transform of its delayed version  be  . Let  be the complex conjugate of  with the Laplace variable set as .If  , then the inverse Laplace transform of G(s) is        

An ideal impulse

An ideal delayed impulse

An ideal step function u(t)

An ideal delayed step function

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Q#9 Laplace Transform GATE EE 2007 (Set 1) MCQ +2 marks -0.66 marks

If u(t), r(t) denote the unit step and unit ramp functions respectively and u(t)*r(t) their convolution. Then the function u(t+1)*r(t−2) is given by

None of the above.

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Q#10 Laplace Transform GATE EE 1995 (Set 1) MCQ +1 mark -0.33 marks

The convolution of the functions  and   is equal to _________.

None of these

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