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

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Question 128

Networks, Signals and Systems
Z-Transform, Interpolation of Discrete-Time Signals

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

Networks, Signals and Systems
Fourier Series and Fourier Transform Representations

Appeared in Year: 2021

Question

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

Networks, Signals and Systems
Nodal and Mesh Analysis

Appeared in Year: 2021

Question

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

Networks, Signals and Systems
Nodal and Mesh Analysis

Appeared in Year: 2021