Digital Signal Processing Questions and Answers | Digital Signal Processing MCQs

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Questions
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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