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Digital Signal Processing Questions and Answers | Digital Signal Processing MCQs

(1) If the frequency response of an FIR system is given as H(z)=1-z-1-6z-2, then the system is ___________
[A] Minimum phase
[B] Maximum phase
[C] Mixed phase
[D] None of the mentioned
Answer: Maximum phase
(2)  If the frequency response of an FIR system is given as H(z)=1-5/2z-1-3/2z-2, then the system is ___________
[A] Minimum phase
[B] Maximum phase
[C] Mixed phase
[D] None of the mentioned
Answer: Mixed phase

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(3) A causal system produces the output sequence y(n)={1,0.7} when excited by the input sequence x(n)={1,-0.7,0.1}, then what is the impulse response of the system function?
[A] [3(0.5)n+4(0.2)n]u(n)
[B] [4(0.5)n-3(0.2)n]u(n)
[C] [4(0.5)n+3(0.2)n]u(n)
[D] None of the mentioned
Answer: [4(0.5)n-3(0.2)n]u(n)
(4) A finite duration sequence of length L is given as x(n)=1 for 0≤n≤L-1 = 0 otherwise, then what is the N point DFT of this sequence for N=L?
[A] X(k) = L for k=0, 1, 2….L-1
[B]
X(k) = L for k=0
=0 for k=1,2....L-1
[C]
X(k) = L for k=0
=1 for k=1,2....L-1
[D] None of the mentioned
Answer:
X(k) = L for k=0
=0 for k=1,2....L-1
(5) The Nth rot of unity WN is given as ______________
[A] ej2πN
[B]  e-j2πN
[C]  e-j2π/N
[D] ej2π/N
Answer:  e-j2π/N
(6) Which of the following is true regarding the number of computations requires to compute an N-point DFT?
[A] N2 complex multiplications and N(N-1) complex additions
[B] N2 complex additions and N(N-1) complex multiplications
[C] N2 complex multiplications and N(N+1) complex additions
[D] N2 complex additions and N(N+1) complex multiplications
Answer: N2 complex multiplications and N(N-1) complex additions
(7) What is the DFT of the four point sequence x(n)={0,1,2,3}?
[A] {6,-2+2j-2,-2-2j}
[B] {6,-2-2j,2,-2+2j}
[C] {6,-2+2j,-2,-2-2j}
[D] {6,-2-2j,-2,-2+2j}
Answer: {6,-2+2j,-2,-2-2j}
(8) If X(k) is the N point DFT of a sequence whose Fourier series coefficients is given by ck, then which of the following is true?
[A] X(k)=Nck
[B] X(k)=ck/N
[C] X(k)=N/ck
[D] None of the mentioned
Answer: X(k)=Nck
(9) What is the DFT of the four point sequence x(n)={0,1,2,3}?
[A] {6,-2+2j-2,-2-2j}
[B] {6,-2-2j,2,-2+2j}
[C] {6,-2-2j,-2,-2+2j}
[D] {6,-2+2j,-2,-2-2j}
Answer: {6,-2+2j,-2,-2-2j}
(10) If W4100=Wx200, then what is the value of x?
[A] 2
[B] 4
[C] 8
[D] 16
Answer: 8

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