This set of Digital Signal Processing Multiple Choice Questions & Answers (MCQs) focuses on “Round Off Effects in Digital Filters”.

1. The quantization inherent in the finite precision arithmetic operations render the system linear.

a) True**b) False**

2. In recursive systems, which of the following is caused because of the nonlinearities due to the finite-precision arithmetic operations?

a) Periodic oscillations in the input

b) Non-Periodic oscillations in the input

c) Non-Periodic oscillations in the output**d) Periodic oscillations in the output**

3. The oscillations in the output of the recursive system are called as ‘limit cycles’.**a) True**

b) False

4. Limit cycles in the recursive are directly attributable to which of the following?

a) Round-off errors in multiplication

b) Overflow errors in addition**c) Both of the mentioned**

d) None of the mentioned

5. What is the range of values called as to which the amplitudes of the output during a limit cycle ae confined to?

a) Stop band

b) Pass band

c) Live band**d) Dead band**

.

6. Zero input limit cycles occur from non-zero initial conditions with the input x(n)=0.**a) True**

b) False

7. Which of the following is true when the response of the single pole filter is in the limit cycle?

a) Actual non-linear system acts as an equivalent non-linear system**b) Actual non-linear system acts as an equivalent linear system**

c) Actual linear system acts as an equivalent non-linear system

d) Actual linear system acts as an equivalent linear system

8. Which of the following expressions define the dead band for a single-pole filter?

a) |v(n-1)| ≥ (1/2).2−b1+|a|

b) |v(n-1)| ≥ (1/2).2−b1−|a|**c) |v(n-1)| ≤ (1/2).2−b1−|a|**

d) None of the mentioned

.

9. What is the dead band of a single pole filter with a pole at 1/2 and represented by 4 bits?

a) (-1/2,1/2)

b) (-1/4,1/4)

c) (-1/8,1/8)**d) (-1/16,1/16)**

10. The limit cycle mode with zero input, which occurs as a result of rounding the multiplications, corresponds to an equivalent second order system with poles at z=±1.**a) True**

b) False

11. What is the necessary and sufficient condition for a second order filter that no zero-input overflow limit cycles occur?

a) |a_{1}|+|a_{2}|=1

b) |a_{1}|+|a_{2}|>1**c) |a _{1}|+|a_{2}|<1**

d) None of the mentioned

12. An effective remedy for curing the problem of overflow oscillations is to modify the adder characteristic.**a) True**

b) False

13. What is the dead band of a single pole filter with a pole at 3/4 and represented by 4 bits?

a) (-1/2,1/2)**b) (-1/8,1/8)**

c) (-1/4,1/4)

d) (-1/16,1/16)