# Impulse Invariance Filter Design MCQ’s

This set of Digital Signal Processing Multiple Choice Questions & Answers (MCQs) focuses on “Impulse Invariance Filter Design”.

1. Which of the filters have a frequency response as shown in the figure below?

a) Analog filter

b) Digital filter without aliasing

c) Digital filter with aliasing

d) None of the mentioned

2. If a continuous time signal x(t) with spectrum X(F) is sampled at a rate F_{s}=1/T samples per second, then what is the scaled spectrum?

a) X(F)

b) F_{s}.X(F)

c) X(F)/F_{s}

d) None of the mentioned

3. Which of the following filters cannot be designed using impulse invariance method?

a) Low pass

b) Band pass

c) Low and band pass

d) High pass

4. What is the equation for normalized frequency?

a) F/F_{s}

b) F.F_{s}

c) F_{s}/F

d) None of the mentioned

5. When σ<0, then what is the condition on ‘r’?

a) 0<r<1

b) r=1

c) r>1

d) None of the mentioned

6. Aliasing occurs if the sampling rate F_{s} is more than twice the highest frequency contained in X(F).

a) True

b) False

7. When σ=0, then what is the condition on ‘r’?

a) 0<r<1

b) r=1

c) r>1

d) None of the mentioned

8. The frequency response given in the above question is for a low pass digital filter.

a) True

b) False

9. By impulse invariance method, the IIR filter will have a unit sample response h(n) that is the sampled version of the analog filter.

a) True

b) False

10. What is the period of the scaled spectrum F_{s}.X(F)?

a) 2F_{s}

b) F_{s}/2

c) 4F_{s}

d) F_{s}

11. Sampling interval T is selected sufficiently large to completely avoid or at least minimize the effects of aliasing.

a) True

b) False

12. Which of the following is the correct relation between ω and Ω?

a) Ω=ωT

b) T=Ωω

c) ω=ΩT

d) None of the mentioned

13. When σ>0, then what is the condition on ‘r’?

a) 0<r<1

b) r=1

c) r>1

d) None of the mentioned

14. If a continuous time signal x(t) with spectrum X(F) is sampled at a rate F_{s}=1/T samples per second, the spectrum of the sampled signal is _____________

a) Non periodic repetition

b) Non periodic non-repetition

c) Periodic repetition

d) None of the mentioned

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