MCQOPTIONS
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MCQOPTIONS
This section includes 10 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 causal signal x(n) having the z-transform X(z)= ( frac{1}{(1+z^{-1})(1-z^{-1})^2} )? |
| A. | [1/4(-1)<sup>n</sup>+3/4-n/2]u(n) |
| B. | [1/4(-1)<sup>n</sup>+3/4-n/2]u(-n-1) |
| C. | [1/4+3/4(-1)<sup>n</sup>-n/2]u(n) |
| D. | [1/4(-1)<sup>n</sup>+3/4+n/2]u(n) |
| Answer» E. | |
| 2. |
What is the inverse z-transform of X(z)= ( frac{1}{1-1.5z^{-1}+0.5z^{-2}} ) if ROC is 0.5<|z|<1? |
| A. | -2u(-n-1)+(0.5)<sup>n</sup>u(n) |
| B. | -2u(-n-1)-(0.5)<sup>n</sup>u(n) |
| C. | -2u(-n-1)+(0.5)<sup>n</sup>u(-n-1) |
| D. | 2u(n)+(0.5)<sup>n</sup>u(-n-1) |
| Answer» C. -2u(-n-1)+(0.5)<sup>n</sup>u(-n-1) | |
| 3. |
What is the inverse z-transform of X(z)= ( frac{1}{1-1.5z^{-1}+0.5z^{-2}} ) if ROC is |z|<0.5? |
| A. | [-2-0.5<sup>n</sup>]u(n) |
| B. | [-2+0.5<sup>n</sup>]u(n) |
| C. | [-2+0.5<sup>n</sup>]u(-n-1) |
| D. | [-2-0.5<sup>n</sup>]u(-n-1) |
| Answer» D. [-2-0.5<sup>n</sup>]u(-n-1) | |
| 4. |
What is the partial fraction expansion of X(z)= ( frac{1}{(1+z^{-1})(1-z^{-1})^2} )? |
| A. | ( frac{z}{4(z+1)} + frac{3z}{4(z-1)} + frac{z}{2(z+1)^2} ) |
| B. | ( frac{z}{4(z+1)} + frac{3z}{4(z-1)} frac{z}{2(z+1)^2} ) |
| C. | ( frac{z}{4(z+1)} + frac{3z}{4(z-1)} + frac{z}{2(z-1)^2} ) |
| D. | ( frac{z}{4(z+1)} + frac{z}{4(z-1)} + frac{z}{2(z+1)^2} ) |
| Answer» D. ( frac{z}{4(z+1)} + frac{z}{4(z-1)} + frac{z}{2(z+1)^2} ) | |
| 5. |
What is the partial fraction expansion of X(z)= ( frac{1+z^{-1}}{1-z^{-1}+0.5z^{-2}} )? |
| A. | ( frac{z(0.5-1.5j)}{z-0.5-0.5j} frac{z(0.5+1.5j)}{z-0.5+0.5j} ) |
| B. | ( frac{z(0.5-1.5j)}{z-0.5-0.5j} + frac{z(0.5+1.5j)}{z-0.5+0.5j} ) |
| C. | ( frac{z(0.5+1.5j)}{z-0.5-0.5j} frac{z(0.5-1.5j)}{z-0.5+0.5j} ) |
| D. | ( frac{z(0.5+1.5j)}{z-0.5-0.5j} + frac{z(0.5-1.5j)}{z-0.5+0.5j} ) |
| Answer» C. ( frac{z(0.5+1.5j)}{z-0.5-0.5j} frac{z(0.5-1.5j)}{z-0.5+0.5j} ) | |
| 6. |
What is the partial fraction expansion of the proper function X(z)= ( frac{1}{1-1.5z^{-1}+0.5z^{-2}} )? |
| A. | ( frac{2z}{z-1}- frac{z}{z+0.5} ) |
| B. | ( frac{2z}{z-1}+ frac{z}{z-0.5} ) |
| C. | ( frac{2z}{z-1}+ frac{z}{z+0.5} ) |
| D. | ( frac{2z}{z-1}- frac{z}{z-0.5} ) |
| Answer» E. | |
| 7. |
What is the proper fraction and polynomial form of the improper rational transform
|
| A. | 1+2z<sup>-1</sup>+ ( frac{ frac{1}{6}z^{-1}}{1+ frac{5}{6} z^{-1}+ frac{1}{6} z^{-2}} ) |
| B. | 1-2z<sup>-1</sup>+ ( frac{ frac{1}{6} z^{-1}}{1+ frac{5}{6} z^{-1}+ frac{1}{6} z^{-2}} ) |
| C. | 1+2z<sup>-1</sup>+ ( frac{ frac{1}{3} z^{-1}}{1+ frac{5}{6} z^{-1}+ frac{1}{6} z^{-2}} ) |
| D. | 1+2z<sup>-1</sup> ( frac{ frac{1}{6} z^{-1}}{1+ frac{5}{6} z^{-1}+ frac{1}{6} z^{-2}} ) |
| Answer» B. 1-2z<sup>-1</sup>+ ( frac{ frac{1}{6} z^{-1}}{1+ frac{5}{6} z^{-1}+ frac{1}{6} z^{-2}} ) | |
| 8. |
What is the inverse z-transform of X(z)=log(1+az-1) |z|>|a|? |
| A. | x(n)=(-1)n+1 ( frac{a^{-n}}{n} ), n 1; x(n)=0, n 0 |
| B. | x(n)=(-1)n-1 ( frac{a^{-n}}{n} ), n 1; x(n)=0, n 0 |
| C. | x(n)=(-1)n+1 ( frac{a^{-n}}{n} ), n 1; x(n)=0, n 0 |
| D. | None of the mentioned |
| Answer» D. None of the mentioned | |
| 9. |
What is the inverse z-transform of X(z)= ( frac{1}{1-1.5z^{-1}+0.5z^{-2}} ) if ROC is |z| < 0.5? |
| A. | { .62,30,14,6,<strong>2</strong>} |
| B. | { ..62,30,14,6,2,0,<strong>0</strong>} |
| C. | {0,0,2,6,14,30,62 ..} |
| D. | {2,6,14,30,62 ..} |
| Answer» C. {0,0,2,6,14,30,62 ..} | |
| 10. |
What is the inverse z-transform of X(z)= ( frac{1}{1-1.5z^{-1}+0.5z^{-2}} ) if ROC is |z|>1? |
| A. | {1,3/2,7/4,15/8,31/16, .} |
| B. | {1,2/3,4/7,8/15,16/31, .} |
| C. | {1/2,3/4,7/8,15/16,31/32, .} |
| D. | None of the mentioned |
| Answer» B. {1,2/3,4/7,8/15,16/31, .} | |