GATE ECE topic:signals-and-systems PYQs & Answers — Page 6

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topic:signals-and-systems

Questions 51–60 of 715. Imported answers require independent review unless marked reviewed.

Topic practice 715 questionsPage 6 of 72

Consider the two-port network as shown in the Figure.

Which of the following options provides the correct set of values of A, B, C and D parameters?

Diagram for Electronics and Communication Engineering question 51

Your answerChoose one option.

A = 1/2, B =

Ω, C =

, D = 1/2

A = 2, B = 3 Ω, C = 1 Ω

, D = 2

A = 2, B =

Ω, C =

, D = 2

A = 2, B =

Ω, C =

, D = 2

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A complex load (in Ω) is represented as

on the Smith chart. A co-axial cable with a characteristic impedance of 50 Ω is connected to the load. The new input impedance of the load now moves to a diametrically opposite point on the same Γ circle on the Smith chart.

Which option is the nearest input impedance of the cable connected load (in Ω)?

Your answerChoose one option.

20.7 − j5.1

17.7 − j11.8

97.5 − j65.0

97.5 + j65.0

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A circuit using an ideal OP-AMP is shown in the Figure.

Diagram for Electronics and Communication Engineering question 53

Which of the following options gives the correct value of the current

Your answerChoose one option.

2.0 mA

1.5 mA

3.0 mA

0 mA

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Consider an LED based on a direct bandgap semiconductor material with energy bandgap 1.3 eV.

Given: Planck’s constant,

J s and speed of light in free space is

m s

In which of the following wavelength ranges the LED will NOT emit?

Your answerSelect all correct options. You can choose more than one.

1410 ± 20 nm

1090 ± 20 nm

950 ± 20 nm

510 ± 20 nm

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Let the relevant bandwidth (B) of a digital communication system be 1 MHz and kT = −174 dBm/Hz, where k is Boltzmann’s constant and T is equivalent noise temperature of the receiver. The power (S) of signal received through an additive Gaussian channel is −80 dBm.

Which of the following options is/are TRUE about Shannon capacity (C) of the channel?

Your answerSelect all correct options. You can choose more than one.

C = B

C = 2B

C > 3B

C < B

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Consider the four-variable Boolean function,

with ‘

’ as MSB and ‘

’ as LSB. Which of the following expressions is/are the valid form(s) of

Your answerSelect all correct options. You can choose more than one.

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Consider a real, narrowband signal

where the maximum frequency components of

and

are

and

, respectively. Which of the following statements is/are correct for

Your answerSelect all correct options. You can choose more than one.

represents a PSK modulated signal for suitable choices of

and

represents an amplitude modulated signal for suitable choices of

and

represents a band-limited Gaussian noise process.

never represents a narrowband FM signal.

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Let

and

represent two sinusoids for a positive integer

and

. Which of the following statements about

and

is/are valid?

Your answerSelect all correct options. You can choose more than one.

and

are orthogonal to each other over

and

are orthonormal to each other over

is a harmonic of

and

are non-orthogonal to each other over

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Consider the unity negative feedback control system shown in the Figure. The value of gain

(

) at which the given system will remain marginally stable is ___. (Answer in integer)

Diagram for Electronics and Communication Engineering question 59

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An n-channel MOSFET is connected as shown in the Figure. Assume

, and

and neglect channel length modulation effects. The gate voltage (

) of the n-channel MOSFET (in Volt) is ___. (rounded off to two decimal places)

Diagram for Electronics and Communication Engineering question 60

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GATE ECE topic:signals-and-systems PYQs

Question 51

Question 52

Question 53

Question 54

Question 55

Question 56

Question 57

Question 58

Question 59

Question 60