# Networks, Signals and Systems [GATE (Graduate Aptitude Test in Engineering) Electronics]: Questions 128 - 131 of 141

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## Question 128

Appeared in Year: *2021*

### Question

MCQ▾Consider two 16-point sequences and Let the linear convolution of x [n] and h [n] be denoted by , while denotes the 16-point inverse discrete Fourier transform (IDFT) of the product of the 16-point DFTs of and . The value (s) of k for which is/are

### Choices

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

a. | K = 0,1, … , 15 | |

b. | K = 15 | |

c. | K = 0 and k = 15 | |

d. | K = 0 |

## Question 129

Appeared in Year: *2021*

### Question

Numeric Answer▾The exponential Fourier series representation of a continuous-time periodic signal x (t) is defined as

X (t) =

Where is the fundamental angular frequency of x (t) and the coefficients of the series are . The following information is given about x (t) and .

I. X (t) x (t) is real and even, having a fundamental period of 6

The average value of x (t) is 2

The average power of the signal x (t) (rounded off to one decimal place) is ________

## Question 130

Appeared in Year: *2021*

### Question

Numeric Answer▾Consider the circuit shown in the figure

The current I flowing through the resistor between P and Q (rounded off to one decimal place) is ________A

## Question 131

Appeared in Year: *2021*

### Question

Numeric Answer▾Consider the circuit shown in the figure.

The value of (rounded off to one decimal place) is ________ V.