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Digital Signal Processing – Multiple Choice Questions (MCQs)

49. The state-space representation is useful for designing and analyzing:
- A. Only FIR filters
- B. Only IIR filters
- C. Multivariable discrete-time systems
- D. Only linear phase filters
50. A system with a pole at z=0 is equivalent to a:
- A. Delay
- B. Advance
- C. Integrator
- D. Differentiator
51. A system with a zero at z=0 is equivalent to an:
- A. Delay
- B. Advance
- C. Integrator
- D. Differentiator
52. The sampling process can be modeled as multiplication of the continuous-time signal with a:
- A. Train of impulses
- B. Unit step function
- C. Ramp function
- D. Sine wave
53. The reconstruction of a continuous-time signal from its samples ideally requires a:
- A. Low-pass filter
- B. High-pass filter
- C. Band-pass filter
- D. Band-stop filter
54. The DFT of a real sequence is ________ symmetric.
- A. Hermitian
- B. Conjugate
- C. Even
- D. Odd
55. If x[n] is a real sequence
- A. then X(k) = X* (N-k) is a property of:
- B. DFT
- C. Z-Transform
- D. DTFT
56. Circular shift property of DFT states that a circular shift in time domain corresponds to a ________ in frequency domain.
- A. Phase shift
- B. Amplitude change
- C. Frequency shift
- D. Scaling
57. Linearity property of DFT states that the DFT of a linear combination of signals is the ________ of their individual DFTs.
- A. Sum
- B. Difference
- C. Product
- D. Quotient
58. The number of complex multiplications required for a direct DFT computation of N points is approximately:
- A. N
- B. N²
- C. N log N
- D. N³
59. The number of complex multiplications required for an FFT computation of N points is approximately:
- A. N
- B. N²
- C. N log N
- D. N³
60. The radix-2 FFT algorithm requires N to be a power of:
- A. 2
- B. 3
- C. 4
- D. any integer

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Digital Signal Processing – Multiple Choice Questions (MCQs)

49. The state-space representation is useful for designing and analyzing:

50. A system with a pole at z=0 is equivalent to a:

51. A system with a zero at z=0 is equivalent to an:

52. The sampling process can be modeled as multiplication of the continuous-time signal with a:

53. The reconstruction of a continuous-time signal from its samples ideally requires a:

54. The DFT of a real sequence is ________ symmetric.

55. If x[n] is a real sequence

56. Circular shift property of DFT states that a circular shift in time domain corresponds to a ________ in frequency domain.

57. Linearity property of DFT states that the DFT of a linear combination of signals is the ________ of their individual DFTs.

58. The number of complex multiplications required for a direct DFT computation of N points is approximately:

59. The number of complex multiplications required for an FFT computation of N points is approximately:

60. The radix-2 FFT algorithm requires N to be a power of:

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