Signals and Systems [GATE (Graduate Aptitude Test in Engineering) Electrical Engineering]: Questions 18 - 22 of 24

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Question 18

Appeared in Year: 2012

Question

MCQ▾

Consider the differential equation

With and

The numerical value of is

Choices

Choice (4)Response

a.

1

b.

-1

c.

-2

d.

0

Question 19

Appeared in Year: 2021

Question

MCQ▾

The causal signal with z-transform is: (u [n] is the unit step signal) .

Choices

Choice (4)Response

a.

b.

c.

d.

Question 20

Appeared in Year: 2020

Question

MCQ▾

A stable real linear time-invariant system with single pole at p, has a transfer function with a dc gain of 5. The smallest positive frequency, in rad/s, at unity gain is closest to:

Choices

Choice (4)Response

a.

11.08

b.

122.87

c.

8.84

d.

78.13

Question 21

Appeared in Year: 2020

Question

MCQ▾

Which of the following options is true for a LTI discrete time system that obeys the difference equation

Choices

Choice (4)Response

a.

y [n] is unaffected by the values of

b.

The system impulse response is non-zero at infinite many instant.

c.

The system is necessary causal

d.

When , the function y [n] ; is solely determined by the function

Question 22

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.

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