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Digital Signal Processing Questions and Answers | Digital Signal Processing MCQs

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Free download in PDF Digital Signal Processing Multiple Choice Questions and Answers for competitive exams. These short objective type questions with answers are very important for Board exams as well as competitive exams like UPSC, NDA, SSC etc. These short solved questions or quizzes are provided by Gkseries./p>

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(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)?

[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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