Digital Signal Processing Questions and Answers | Digital Signal Processing MCQs

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Questions
1 If the system is initially relaxed at time n=0 and memory equals to zero, then the response of such state is called as ____________
A Zero-state response
B Zero-input response
C Zero-condition response
D None of the mentioned

Answer:Zero-state response
2 Zero-state response is also known as ____________
A Free response
B Forced response
C Natural response
D None of the mentioned

Answer:Forced response
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3 Zero-input response is also known as Natural or Free response.
A True
B False

Answer:True
4 The solution obtained by assuming the input x(n) of the system is zero is ____________
A General solution
B Particular solution
C Complete solution
D Homogenous solution

Answer:Homogenous solution
5 What is the homogenous solution of the system described by the first order difference equation y(n)+ay(n-1)=x(n)?
A c(a)n(where ‘c’ is a constant)
B c(a)-n
C c(-a)n
D c(-a)-n

Answer:c(-a)n
6 What is the zero-input response of the system described by the homogenous second order equation y(n)-3y(n-1)-4y(n-2)=0 if the initial conditions are y(-1)=5 and y(-2)=0?
A (-1)n-1 + (4)n-2
B (-1)n+1 + (4)n+2
C (-1)n+1 + (4)n-2
D None of the mentioned

Answer:(-1)n+1 + (4)n+2
7 What is the particular solution of the first order difference equation y(n)+ay(n-1)=x(n) where |a|<1, when the input of the system x(n)=u(n)?

Digital Signal Processing

A (a)
B (b)
C (c)
D (d)

Answer:(a)
8 The total solution of the difference equation is given as _______________
A yp(n)-yh(n)
B yp(n)+yh(n)
C yh(n)-yp(n)
D None of the mentioned

Answer:yp(n)+yh(n)
9 The formula y(n)=∑∞k=−∞x(k)h(n−k) that gives the response y(n) of the LTI system as the function of the input signal x(n) and the unit sample response h(n) is known as ______________
A Convolution sum
B Convolution product
C Convolution Difference
D None of the mentioned

Answer:Convolution sum
10 What is the order of the four operations that are needed to be done on h(k) in order to convolute x(k) and h(k)?

Step-1:Folding

Step-2:Multiplication with x(k)

Step-3:Shifting

Step-4:Summation

A 1-2-3-4
B 1-2-4-3
C 2-1-3-4
D 1-3-2-4

Answer:1-3-2-4

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