# Signals and Systems-Applications of Fourier Transform [GATE (Graduate Aptitude Test in Engineering) Electrical Engineering]: Questions 1 - 4 of 4

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## Question 1

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)

Edit## Question 2

Appeared in Year: *2012*

### Question MCQ▾

The Fourier transform of a signal is . The value of is

### Choices

Choice (4) | Response | |
---|---|---|

a. | 2 | |

b. | 1 | |

c. | ||

d. |

## Question 3

Appeared in Year: *2021*

### Question MCQ▾

Let f (t) be an even function, i.e. for all t. Let the Fourier transform of f (t) be defined as . Suppose for all ω, and F (0) = 1. Then

### Choices

Choice (4) | Response | |
---|---|---|

a. | ||

b. | ||

c. | ||

d. |

## Question 4

Appeared in Year: *2021*

### Question Numeric Answer▾

Consider a continuous-time signal x (t) defined by x (t) = 0 for , and for Let the Fourier transform of x (t) be defined as . The maximum magnitude of X (ω) is ________.

Edit