Test: Basics


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10 Questions MCQ Test Signals and Systems | Test: Basics

Test: Basics for Electronics and Communication Engineering (ECE) 2022 is part of Signals and Systems preparation. The Test: Basics questions and answers have been prepared according to the Electronics and Communication Engineering (ECE) exam syllabus.The Test: Basics MCQs are made for Electronics and Communication Engineering (ECE) 2022 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Test: Basics below.
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Test: Basics - Question 1

In the below figure if R value is increased then which of the following is true?

Detailed Solution for Test: Basics - Question 1

In the circuit shown voltage across capacitor decays exponentially with time at a rate determined by time constant RC. Hence the larger the resistor, the slower will be the rate of decay of v (t) with time.

Test: Basics - Question 2

Which of the passive component performs differentiation operation?

Detailed Solution for Test: Basics - Question 2
  • Inductor performs differentiation.
  • It is given by y (t) = L d i(t) / dt where, I (t) denotes a current flowing through an inductor of inductance L.
Test: Basics - Question 3


Detailed Solution for Test: Basics - Question 3



Test: Basics - Question 4

The time period of the continuous-time sinusoidal signal is given by _____.

Detailed Solution for Test: Basics - Question 4

X (t) = A cos (wt + φ) is the continuous-time sinusoidal signal and its period is given by
T = 2π / w where w is the frequency in radians per second.

Test: Basics - Question 5

In question y[n] is the convolution of two signal. Choose correct option for y[n]. y[n] =

Detailed Solution for Test: Basics - Question 5

For n + 2<0 or n < -2, y [n] = 0
For n + 2 ≥ 0 or

Test: Basics - Question 6

In question y[n] is the convolution of two signal. Choose correct option for y[n]. 
y[n] = 3n u [-n + 3] * u[n - 2]

Detailed Solution for Test: Basics - Question 6



Test: Basics - Question 7

In question y[n] is the convolution of two signal. Choose correct option for y[n].
y[n] = u [n + 3] * u[n-3]

Detailed Solution for Test: Basics - Question 7

For n - 3 < -3 or n < 0, y[n] = 0
for n - 3 ≥ -3  or

y[n] = ( n + 1) u[ n]

Test: Basics - Question 8

The convolution of  and h[n] = u[n - 1] is f [ n]u[n - 1]. The function f [n] is:

Detailed Solution for Test: Basics - Question 8

For n - 1<0 or n < 1 , y[n] = 0
For n - 1 ≥ 0 or

Test: Basics - Question 9

Let P be linearity, Q be time invariance, R be causality and S be stability. In question discrete time input x[n] and output y[n] relationship has been given. In the option properties of system has been given. Choose the option which match the properties for system.
Q. y[ n] = rect ( x[ n])

Detailed Solution for Test: Basics - Question 9


 (Not Homogeneous not linear)

 (Time Invariant) At any discrete time n  = no , the response depends only on the excitation at that discrete time.
(Causal) No matter what values the excitation may have the response can only have the values zero or one.

Test: Basics - Question 10

Let P be linearity, Q be time invariance, R be causality and S be stability. In question discrete time input x[n] and output y[n] relationship has been given. In the option properties of system has been given. Choose the option which match the properties for system.
Q. y[n] = nx[n]

Detailed Solution for Test: Basics - Question 10


 (Homogeneous)

= y1[n] + y2 [n] (Additive)
Since the system is homogeneous and additive, it is also linear.
 (Time variant)
At any discrete time, n = no the response depends only on the excitation at that same time. (Causal)
If the excitation is a constant, the response is unbounded as n approaches infinity. (Unstable)

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