Test: Discrete Time Systems

# Test: Discrete Time Systems

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## 10 Questions MCQ Test Digital Signal Processing | Test: Discrete Time Systems

Test: Discrete Time Systems for Electrical Engineering (EE) 2022 is part of Digital Signal Processing 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) 2022 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Test: Discrete Time Systems below.
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Test: Discrete Time Systems - Question 1

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

Detailed Solution for Test: Discrete Time Systems - Question 1

Explanation: An identical system is a system whose output is same as the input, that is it does not perform any operation on the input and transmits it.

Test: Discrete Time Systems - Question 2

### If a signal x(n) is passed through a system to get an output signal of y(n)=x(n+1), then the signal is said to be:

Detailed Solution for Test: Discrete Time Systems - Question 2

Explanation: For example, the value of the output at the time n=0 is y(0)=x(1), that is the system is advanced by one unit.

Test: Discrete Time Systems - Question 3

### If the output of the system is with an input of x(n) then the system will work as:

Detailed Solution for Test: Discrete Time Systems - Question 3

Explanation: From the equation given, y(n)=x(n)+x(n-1)+x(n-2)+…. .This system calculates the running sum of all the past input values till the present time. So, it acts as an accumulator.

Test: Discrete Time Systems - Question 4

The block denoted as follows is known as:

Detailed Solution for Test: Discrete Time Systems - Question 4

Explanation: If the function to this block is x(n) then the output from the block will be x(n-1). So, the block is called as delay block or delay element.

Test: Discrete Time Systems - Question 5

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 5

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

Test: Discrete Time Systems - Question 6

The system described by the input-output equation y(n)=nx(n)+bx3(n) is a:

Detailed Solution for Test: Discrete Time Systems - Question 6

Explanation: Since the output of the system y(n) depends only on the present value of the input x(n) but not on the past or the future values of the input, the system is called as static or memory-less system.

Test: Discrete Time Systems - Question 7

Whether the system described by the input-output equations y(n)=x(n)-x(n-1) a Time-variant system?

Detailed Solution for Test: Discrete Time Systems - Question 7

Explanation: If the input is delayed by k units then the output will be y(n,k)=x(n-k)-x(n-k-1)
If the output is delayed by k units then y(n-k)=x(n-k)-x((n-k)-1)
=>y(n,k)=y(n-k). Hence the system is time-invariant.

Test: Discrete Time Systems - Question 8

The system described by the input-output equations y(n)=x2(n) is a Non-linear system.

Detailed Solution for Test: Discrete Time Systems - Question 8

Explanation: Given equation is y(n)=x2(n)
Let y1(n)=x12(n) and y2(n)=x22(n)
y3(n)=y1(n)+y2(n)= x12(n)+ x22(n)≠(x1(n)+x2(n))2
So the system is non-linear.

Test: Discrete Time Systems - Question 9

If the output of the system of the system at any ‘n’ depends only the present or the past values of the inputs then the system is said to be:

Detailed Solution for Test: Discrete Time Systems - Question 9

Explanation: A system is said to be causal if the output of the system is defined as the function shown below
y(n)=F[x(n),x(n-1),x(n-2),…] So, according to the conditions given in the question, the system is a causal system.

Test: Discrete Time Systems - Question 10

If a system do not have a bounded output for bounded input, then the system is said to be:

Detailed Solution for Test: Discrete Time Systems - Question 10

Explanation: An arbitrary relaxed system is said to be BIBO stable if it has a bounded output for every value in the bounded input. So, the system given in the question is a Non-stable system.

## Digital Signal Processing

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## Digital Signal Processing

3 videos|50 docs|54 tests