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				This section includes 17 Mcqs, each offering curated multiple-choice questions to sharpen your Digital Signal Processing knowledge and support exam preparation. Choose a topic below to get started.
| 1. | What is the necessary and sufficient condition for a second order filter that no zero-input overflow limit cycles occur? | 
| A. | |a1|+|a2|=1 | 
| B. | |a1|+|a2|>1 | 
| C. | |a1|+|a2|<1 | 
| D. | None of the mentioned | 
| Answer» D. None of the mentioned | |
| 2. | 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 | 
| Answer» B. False | |
| 3. | 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) | 
| Answer» E. | |
| 4. | Which of the following expressions define the dead band for a single-pole filter? | 
| A. | |v(n-1)| ≥ \(\frac{(1/2).2^{-b}}{1+|a|}\) | 
| B. | |v(n-1)| ≥ \(\frac{(1/2).2^{-b}}{1-|a|}\) | 
| C. | |v(n-1)| ≤ \(\frac{(1/2).2^{-b}}{1-|a|}\) | 
| D. | None of the mentioned | 
| Answer» D. None of the mentioned | |
| 5. | The oscillations in the output of the recursive system are called as ‘limit cycles’. | 
| A. | True | 
| B. | False | 
| Answer» B. False | |
| 6. | 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) | 
| Answer» E. | |
| 7. | What is the necessary and sufficient condition for a second order filter that no zero-input overflow limit cycles occur?$ | 
| A. | |a1|+|a2|=1 | 
| B. | |a1|+|a2|>1 | 
| C. | |a1|+|a2|<1 | 
| D. | None of the mentioned | 
| Answer» D. None of the mentioned | |
| 8. | 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.$# | 
| A. | True | 
| B. | False | 
| Answer» B. False | |
| 9. | What is the dead band of a single pole filter with a pole at 3/4 and represented by 4 bits? | 
| A. | (-1/2,1/2) | 
| B. | (-1/8,1/8) | 
| C. | (-1/4,1/4) | 
| D. | (-1/16,1/16) | 
| Answer» C. (-1/4,1/4) | |
| 10. | An effective remedy for curing the problem of overflow oscillations is to modify the adder characteristic. | 
| A. | True | 
| B. | False | 
| Answer» B. False | |
| 11. | Which of the following is true when the response of the single pole filter is in the limit cycle? | 
| A. | Actual non-linear system acts as an equivalent non-linear system | 
| B. | Actual non-linear system acts as an equivalent linear system | 
| C. | Actual linear system acts as an equivalent non-linear system | 
| D. | Actual linear system acts as an equivalent linear system | 
| Answer» C. Actual linear system acts as an equivalent non-linear system | |
| 12. | Zero input limit cycles occur from non-zero initial conditions with the input x(n)=0. | 
| A. | True | 
| B. | False | 
| Answer» B. False | |
| 13. | What is the range of values called as to which the amplitudes of the output during a limit cycle ae confined to? | 
| A. | Stop band | 
| B. | Pass band | 
| C. | Live band | 
| D. | Dead band | 
| Answer» E. | |
| 14. | Limit cycles in the recursive are directly attributable to which of the following? | 
| A. | Round-off errors in multiplication | 
| B. | Overflow errors in addition | 
| C. | Both of the mentioned | 
| D. | None of the mentioned | 
| Answer» D. None of the mentioned | |
| 15. | The oscillations in the output of the recursive system are called as ‘limit cycles’.$ | 
| A. | True | 
| B. | False | 
| Answer» B. False | |
| 16. | 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 | 
| Answer» E. | |
| 17. | The quantization inherent in the finite precision arithmetic operations render the system linear. | 
| A. | True | 
| B. | False | 
| Answer» C. | |