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Test: Discrete-Time Systems - Electrical Engineering (EE) MCQ


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15 Questions MCQ Test GATE Electrical Engineering (EE) Mock Test Series 2025 - Test: Discrete-Time Systems

Test: Discrete-Time Systems for Electrical Engineering (EE) 2024 is part of GATE Electrical Engineering (EE) Mock Test Series 2025 preparation. The Test: Discrete-Time Systems questions and answers have been prepared according to the Electrical Engineering (EE) exam syllabus.The Test: Discrete-Time Systems MCQs are made for Electrical Engineering (EE) 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Test: Discrete-Time Systems below.
Solutions of Test: Discrete-Time Systems questions in English are available as part of our GATE Electrical Engineering (EE) Mock Test Series 2025 for Electrical Engineering (EE) & Test: Discrete-Time Systems solutions in Hindi for GATE Electrical Engineering (EE) Mock Test Series 2025 course. Download more important topics, notes, lectures and mock test series for Electrical Engineering (EE) Exam by signing up for free. Attempt Test: Discrete-Time Systems | 15 questions in 45 minutes | Mock test for Electrical Engineering (EE) preparation | Free important questions MCQ to study GATE Electrical Engineering (EE) Mock Test Series 2025 for Electrical Engineering (EE) Exam | Download free PDF with solutions
Test: Discrete-Time Systems - Question 1

x[n] and h[n] are given in the question. Compute the convolution y[n] = x[n] * h[n] and choose correct option.

Que: 

Detailed Solution for Test: Discrete-Time Systems - Question 1

Test: Discrete-Time Systems - Question 2

x[n] and h[n] are given in the question. Compute the convolution y[n] = x[n] * h[n] and choose correct option.

Que: 

Detailed Solution for Test: Discrete-Time Systems - Question 2

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Test: Discrete-Time Systems - Question 3

x[n] and h[n] are given in the question. Compute the convolution y[n] = x[n] * h[n] and choose correct option.

Detailed Solution for Test: Discrete-Time Systems - Question 3

Test: Discrete-Time Systems - Question 4

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

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Test: Discrete-Time Systems - Question 5

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

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Test: Discrete-Time Systems - Question 6

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

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Test: Discrete-Time Systems - 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]

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Test: Discrete-Time Systems - Question 8

The convolution of x[n] = cos ( π/2 n) u[n] and h[n] = u[n - 1] is f [n]u[n - 1]. The function f [n] is

Detailed Solution for Test: Discrete-Time Systems - Question 8

Test: Discrete-Time Systems - 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.

Que: y[n] = rect (x[n])

Detailed Solution for Test: Discrete-Time Systems - Question 9

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: Discrete-Time Systems - 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.

y[n] = nx[n]

Detailed Solution for Test: Discrete-Time Systems - Question 10

Since the system is homogeneous and additive, it is also linear.

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)

Test: Discrete-Time Systems - Question 11

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.

Detailed Solution for Test: Discrete-Time Systems - Question 11

Since the system is homogeneous and additive it is also linear

At any discrete time, n =no , the response depends on the excitation at the next discrete time in future. (Anti causal)

If the excitation is a constant, the response increases without bound (Unstable)

Test: Discrete-Time Systems - Question 12

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.

Detailed Solution for Test: Discrete-Time Systems - Question 12

At any discrete time n = no , the response depends only on the excitation at that time (Causal)

If the excitation is bounded, the response is bounded. (Stable).

Test: Discrete-Time Systems - Question 13

The output signal when a signal x(n)=(0,1,2,3) is processed through an ‘Delay’ system is:

Detailed Solution for Test: Discrete-Time Systems - Question 13

An delay system is a system whose output is same as the input, but after a delay.

Test: Discrete-Time Systems - Question 14

x[n] as shown in fig.

Detailed Solution for Test: Discrete-Time Systems - Question 14

At any discrete time, n = n0 the response depends only on the excitation at that discrete time and not on any future excitation. (Causal)

If the excitation is bounded, the response is bounded. (Stable).

Test: Discrete-Time Systems - Question 15

x[n] as shown in fig

Detailed Solution for Test: Discrete-Time Systems - Question 15

At any discrete time n no the response depends only on the excitation at that discrete time and previous discrete time. (Causal)

If the excitation is constant, the response increase without bound. (Unstable)

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