# 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 | |
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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 | |
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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 | |
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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

Short Answer▾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 | |
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a. | ||

b. | ||

c. | ||

d. |