# Factor I Interpolation MCQ’s

This set of Digital Signal Processing Multiple Choice Questions & Answers (MCQs) focuses on “Factor I Interpolation”.

1. Which of the following is true about the interpolated signal whose spectrum is V(ω_{y})?

a) (I-1)-fold non-periodic

b) (I-1)-fold periodic repetition

c) I-fold non periodic

d) I-fold periodic repetition

2. What is the relationship between ω_{x} and ω_{y}?

a) ω_{y}= ω_{x}.I

b) ω_{y}= ω_{x}/I

c) ω_{y}= ω_{x}+I

d) None of the mentioned

3. The following sampling rate conversion technique is interpolation by a factor I.

a) True

b) False

4. If X(z) is the z-transform of x(n), then what is the z-transform of interpolated signal v(m)?

a) X(zI)

b) X(z+I)

c) X(z/I)

d) X(zI)

5. If v(m) denote a sequence with a rate F_{y}=I.Fx which is obtained from x(n), then which of the following is the correct definition for v(m)?

a)

x(mI), m=0,±I,±2I.... 0, otherwise

b)

x(mI), m=0,±I,±2I.... x(m/I), otherwise

c)

```
x(m/I), m=0,±I,±2I....
0, otherwise
```

d) None of the mentioned

6. If x(m) and v(m) are the original and interpolated signals and ωy denotes the frequency variable relative to the new sampling rate, then V(ω_{y})= X(ω_{y}I).

a) True

b) False

7. Which of the following operation has to be performed to increase the sampling rate by an integer factor I?

a) Interpolating I+1 new samples

b) Interpolating I-1 new samples

c) Extrapolating I+1 new samples

d) Extrapolating I-1 new samples

8. C=I is the desired normalization factor.

a) True

b) False

9. The following sampling rate conversion technique is interpolation by a factor I.

a) True

b) False

10. In one of the interpolation process, we can preserve the spectral shape of the signal sequence x(n).

a) True

b) False

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