MCQOPTIONS
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MCQOPTIONS
This section includes 15 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 z-transform of the signal x(n)=[5(3n)-9(7n)]u(n)? |
| A. | ( frac{5}{1-3z^{-1}}- frac{9}{1-7z^{-1}} ) |
| B. | ( frac{5}{1+3z^{-1}}- frac{9}{1+7z^{-1}} ) |
| C. | ( frac{5}{1-3z}- frac{9}{1-7z} ) |
| D. | None of the mentioned |
| Answer» B. ( frac{5}{1+3z^{-1}}- frac{9}{1+7z^{-1}} ) | |
| 2. |
What is the z-transform of the signal defined as x(n)=u(n)-u(n+N)? |
| A. | ( frac{1+z^N}{1+z^{-1}} ) |
| B. | ( frac{1-z^N}{1-z^{-1}} ) |
| C. | ( frac{1+z^{-N}}{1+z^{-1}} ) |
| D. | ( frac{1-z^{-N}}{1-z^{-1}} ) |
| Answer» E. | |
| 3. |
What is the z-transform of the signal x(n)=cos(j 0n)u(n)? |
| A. | ( frac{z^{-1} sin omega_0}{1+2z^{-1} cos _0+z^{-2}} ) |
| B. | ( frac{z^{-1} sin omega_0}{1-2z^{-1} cos _0-z^{-2}} ) |
| C. | ( frac{1-z^{-1} cos omega_0}{1-2z^{-1} cos _0+z^{-2}} ) |
| D. | ( frac{z^{-1} sin omega_0}{1-2z^{-1} cos _0+z^{-2}} ) |
| Answer» D. ( frac{z^{-1} sin omega_0}{1-2z^{-1} cos _0+z^{-2}} ) | |
| 4. |
If x1(n)={1,2,3} and x2(n)={1,1,1}, then what is the convolution sequence of the given two signals? |
| A. | {1,2,3,1,1} |
| B. | {1,2,3,4,5} |
| C. | {1,3,5,6,2} |
| D. | {1,2,6,5,3} |
| Answer» E. | |
| 5. |
What is the z-transform of the signal x(n)= x1(n).x2*(n)? |
| A. | ( frac{1}{2 j} oint X_1(v) X_2 ( frac{z}{v})v^{-1} dv ) |
| B. | ( frac{1}{2 j} oint X_1(v) X_2^* ( frac{z^*}{v^*})v^{-1} dv ) |
| C. | ( frac{1}{2 j} oint X_1(v) X_2^* ( frac{z}{v})v^{-1} dv ) |
| D. | None of the mentioned |
| Answer» C. ( frac{1}{2 j} oint X_1(v) X_2^* ( frac{z}{v})v^{-1} dv ) | |
| 6. |
What is the signal whose z-transform is given as X(z)= ( frac{1}{2 j} oint X_1 (v) X_2 ( frac{z}{v})v^{-1} dv )? |
| A. | x<sub>1</sub>(n)*x<sub>2</sub>(n) |
| B. | x<sub>1</sub>(n)*x<sub>2</sub>(-n) |
| C. | x<sub>1</sub>(n).x<sub>2</sub>(n) |
| D. | x<sub>1</sub>(n)*x<sub>2</sub>*(n) |
| Answer» D. x<sub>1</sub>(n)*x<sub>2</sub>*(n) | |
| 7. |
If x(n) is an imaginary sequence, then the z-transform of the real part of the sequence is? |
| A. | ( frac{1}{2} )[X(z)+X*(z*)] |
| B. | ( frac{1}{2} )[X(z)-X*(z*)] |
| C. | ( frac{1}{2} )[X(-z)-X*(z*)] |
| D. | ( frac{1}{2} )[X(-z)+X*(z*)] |
| Answer» B. ( frac{1}{2} )[X(z)-X*(z*)] | |
| 8. |
If X(z) is the z-transform of the signal x(n), then what is the z-transform of x*(n)? |
| A. | X(z*) |
| B. | X*(z) |
| C. | X*(-z) |
| D. | X*(z*) |
| Answer» E. | |
| 9. |
What is the z-transform of the signal x(n)= (n-n0)? |
| A. | z<sup>n<sub>0</sub></sup> |
| B. | z<sup>-n<sub>0</sub></sup> |
| C. | z<sup>n-n<sub>0</sub></sup> |
| D. | z<sup>n+n<sub>0</sub></sup> |
| Answer» C. z<sup>n-n<sub>0</sub></sup> | |
| 10. |
If Z{x(n)}=X(z) and the poles of X(z) are all inside the unit circle, then the final value of x(n) as (n rightarrow infty ) is given by i.e., ( lim_{n rightarrow infty} )x(n)=? |
| A. | ( lim_{z rightarrow 1} [(z-1) u2061 X(z)] ) |
| B. | ( lim_{z rightarrow 0} [(z-1) u2061 X(z)] ) |
| C. | ( lim_{z rightarrow -1} [(z-1) X(z)] ) |
| D. | ( lim_{z rightarrow 1} [(z+1) u2061 X(z)] ) |
| Answer» B. ( lim_{z rightarrow 0} [(z-1) u2061 X(z)] ) | |
| 11. |
If x(n) is causal, then ( lim_{z rightarrow infty} ) X(z)=? |
| A. | x(-1) |
| B. | x(1) |
| C. | x(0) |
| D. | Cannot be determined |
| Answer» D. Cannot be determined | |
| 12. |
If Z{x1(n)}=X1(z) and Z{x2(n)}=X2(z) then what is the z-transform of correlation between the two signals? |
| A. | X<sub>1</sub>(z).X<sub>2</sub>(z<sup>-1</sup>) |
| B. | X<sub>1</sub>(z).X<sub>2</sub>(z<sup>-1</sup>) |
| C. | X<sub>1</sub>(z).X<sub>2</sub>(z) |
| D. | X<sub>1</sub>(z).X<sub>2</sub>(-z) |
| Answer» C. X<sub>1</sub>(z).X<sub>2</sub>(z) | |
| 13. |
What is the convolution x(n) of the signals x1(n)={1,-2,1} and x2(n)={1,1,1,1,1,1}? |
| A. | {1,1,0,0,0,0,1,1} |
| B. | {-1,-1,0,0,0,0,-1,-1} |
| C. | {-1,1,0,0,0,0,1,-1} |
| D. | {1,-1,0,0,0,0,-1,1} |
| Answer» E. | |
| 14. |
If Z{x1(n)}=X1(z) and Z{x2(n)}=X2(z) then Z{x1(n)*x2(n)}=? |
| A. | X<sub>1</sub>(z).X<sub>2</sub>(z) |
| B. | X<sub>1</sub>(z)+X<sub>2</sub>(z) |
| C. | X<sub>1</sub>(z)*X<sub>2</sub>(z) |
| D. | None of the mentioned |
| Answer» B. X<sub>1</sub>(z)+X<sub>2</sub>(z) | |
| 15. |
What is the signal x(n) whose z-transform X(z)=log(1+az-1);|z|>|a|? |
| A. | ((-1)^n. frac{a^n}{n}.u(n-1) ) |
| B. | ((-1)^n. frac{a^n}{n}.u(n+1) ) |
| C. | ((-1)^{n-1}. frac{a^n}{n}.u(n-1) ) |
| D. | ((-1)^{n-1}. frac{a^n}{n}.u(n+1) ) |
| Answer» D. ((-1)^{n-1}. frac{a^n}{n}.u(n+1) ) | |