# Factor I Interpolation

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

1. 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

2. In one of the interpolation process, we can preserve the spectral shape of the signal sequence x(n).
a) True
b) False

3. If v(m) denote a sequence with a rate Fy=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

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 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(ωy)= X(ωyI).
a) True
b) False

6. What is the relationship between ωx and ωy?
a) ωy= ωx.I
b) ωy= ωx/I
c) ωy= ωx+I
d) None of the mentioned

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

a) True
b) False

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

a) True
b) False

9. Which of the following is true about the interpolated signal whose spectrum is V(ωy)?
a) (I-1)-fold non-periodic
b) (I-1)-fold periodic repetition
c) I-fold non periodic
d) I-fold periodic repetition

10. C=I is the desired normalization factor.
a) True
b) False