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GATE 2020 Topper's Quiz-8 (App update required to attempt this test)

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Question 1

An ergodic random power function x(t) has the following autocorrelation function

Determine

Question 2

If all the conditional jump instructions are used in the single program then how many bytes of memory will be occupied?

Question 3

Given a vector field

in Cartesian coordinates

The value of

[where S is the surface of the cube defined by
0

is given by________

Question 4

Choose proper substitutes for X and Y to make the following statement correct Tunnel diode and Avalanche photodiode are operated in X bias and Y bias respectively.

Question 5

Determine the % resolution of 4-bit DAC

Question 6

A finite state machine is given below

Here, X, Y are inputs and A is output. The state machine is

Question 7

A uniform plane wave in air has E = 10cos (2π x 10⁶t - βz) a_y. The value of λ is……..m

Question 8

A matched filter has the input

for

otherwise calculate the peak amplitude of filter output in mV.

Question 9

The diffusion resistance of the diode shown in the below figure will be _______ Ω. (Assume

Question 10

The density function f_x (x) of a discrete Random Variable X is given by

The Variance σ_x² of X is _____.

Question 11

Determine the value of V_out (in V) in the given R-2R decoder ladder network

Question 12

An LTI system with transfer function H(f) is to be obtained in such a manner that it can generate a random signal x(t) having autocorrelation function R_x(τ) = 3ɳe^-3|^τ|, by passing white noise n(t) having PSD S_n(f) = ɳ/2 watts/Hz. What would be the suitable transfer function H(f)?