# Signals and Systems [GATE (Graduate Aptitude Test in Engineering) Electrical Engineering]: Questions 1 - 5 of 24

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## Question 1

Appeared in Year: 2012

### Question

MCQ▾

, then the region of convergence (ROC) of its Z-transform in the Z-plane will be

### Choices

Choice (4)Response

a.

b.

c.

d.

## Question 2

Appeared in Year: 2013

### Question

MCQ▾

Assuming zero initial condition, the response y (t) of the system given below to a unit step input u (t) is

### Choices

Choice (4)Response

a.

b.

c.

d.

## Question 3

Appeared in Year: 2013

### Question

MCQ▾

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

### Choices

Choice (4)Response

a.

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

b.

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

c.

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

d.

All the poles must lie within s = 1.

## Question 4

Appeared in Year: 2018

### Write in Short

The Fourier transform of a continuous-time signal is given by , where and denotes frequency. Then the value of at t = 1 is ________ (up to 1 decimal place) . ( Denotes the logarithm to base e)

## Question 5

Appeared in Year: 2018

### Question

MCQ▾

The signal energy of the continuous-time signal

is

### Choices

Choice (4)Response

a.

b.

c.

d.

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