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 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

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(ω_{y})= X(ω_{y}I).**a) True**

b) False

6. 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

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(ω_{y})?

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