MCQOPTIONS
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MCQOPTIONS
This section includes 11 Mcqs, each offering curated multiple-choice questions to sharpen your Signals & Systems knowledge and support exam preparation. Choose a topic below to get started.
| 1. |
The z-transform of x[n]= {1,0,-1,0,1,-1} (1st 1 as the reference variable) is __________ |
| A. | 1+2z<sup>-2</sup> -4 z<sup>-4</sup> + 5z<sup>-5</sup> |
| B. | 1-z<sup>-2</sup> + z<sup>-4</sup> z<sup>-5</sup> |
| C. | 1-2z<sup>2</sup> + 4z<sup>4</sup> 5z<sup>5</sup> |
| D. | 1-z<sup>2</sup> + z<sup>4</sup> z<sup>5</sup> |
| Answer» C. 1-2z<sup>2</sup> + 4z<sup>4</sup> 5z<sup>5</sup> | |
| 2. |
The z-transform of x[n]= {2,4,5,7,0,1} (5 as the reference variable) is ___________ |
| A. | 2z<sup>2</sup> + 4z + 5 +7z + z<sup>3</sup>, z |
| B. | 2z<sup>-2</sup> + 4z<sup>-1</sup> + 5 + 7z + z<sup>3</sup>, z |
| C. | 2z<sup>-2</sup> + 4z<sup>-1</sup> + 5 + 7z + z<sup>3</sup>, 0<|z|< |
| D. | 2z<sup>2</sup> + 4z + 5 + 7z<sup>-1</sup> + z<sup>3</sup>, 0<|z|< |
| Answer» E. | |
| 3. |
The z-transform of {3,0,0,0,0,6,1,-4} (1 as the reference variable) is ___________ |
| A. | 3z<sup>5</sup> + 6 + z<sup>-1</sup> 4z<sup>-2</sup>, 0 |z|< |
| B. | 3z<sup>5</sup> + 6 + z<sup>-1</sup> 4z<sup>-2</sup>, 0<|z|< |
| C. | 3z<sup>5</sup> + 6 + z 4z<sup>-2</sup> 0<|z|< |
| D. | 3z<sup>5</sup> + 6 + z<sup>-1</sup> 4z<sup>-2</sup>, 0 |z|< |
| Answer» C. 3z<sup>5</sup> + 6 + z 4z<sup>-2</sup> 0<|z|< | |
| 4. |
The z-transform of cos( ( frac{ }{3} ) n) u[n] is __________ |
| A. | ( frac{z}{2} frac{(2z-1)}{(z^2-z+1)} ), 0<|z|<1 |
| B. | ( frac{z}{2} frac{(2z-1)}{(z^2-z+1)} ), |z|>1 |
| C. | ( frac{z}{2} frac{(1-2z)}{(z^2-z+1)} ), 0<|z|<1 |
| D. | ( frac{z}{2} frac{(1-2z)}{(z^2-z+1)} ), |z|>1 |
| Answer» C. ( frac{z}{2} frac{(1-2z)}{(z^2-z+1)} ), 0<|z|<1 | |
| 5. |
The z-transform of (( frac{2}{3})^{[n]} ) is ____________ |
| A. | ( frac{-5z}{(2z-3)(3z-2)} ), ( frac{3}{2} ) < z < ( frac{2}{3} ) |
| B. | ( frac{-5z}{(2z-3)(3z-2)} ), ( frac{2}{3} ) < |z| < ( frac{3}{2} ) |
| C. | ( frac{5z}{(2z-3)(3z-2)} ), ( frac{2}{3} ) < |z| |
| D. | ( frac{5z}{(2z-3)(3z-2)} ), ( frac{3}{2} ) < z< ( frac{2}{3} ) |
| Answer» C. ( frac{5z}{(2z-3)(3z-2)} ), ( frac{2}{3} ) < |z| | |
| 6. |
The z-transform of 3n u[-n-1] is ___________ |
| A. | ( frac{z}{3-z} ), |Z|>3 |
| B. | ( frac{z}{3-z} ), |Z|<3 |
| C. | ( frac{3}{3-z} ), |Z|>3 |
| D. | ( frac{3}{3-z} ), |Z|<3 |
| Answer» C. ( frac{3}{3-z} ), |Z|>3 | |
| 7. |
The z-transform of (( frac{1}{4})^4 ) u[-n] is ___________ |
| A. | ( frac{4z}{4z-1} ), |Z|> ( frac{1}{4} ) |
| B. | ( frac{4z}{4z-1} ), |Z|< ( frac{1}{4} ) |
| C. | ( frac{1}{1-4z} ), |Z|> ( frac{1}{4} ) |
| D. | ( frac{1}{1-4z} ), |Z|< ( frac{1}{4} ) |
| Answer» E. | |
| 8. |
The z-transform of (( frac{1}{4})^n ) (u[n] u[n-5]) is __________ |
| A. | ( frac{z^5 0.25^5}{z^4 (z-0.25)} ), z>0.25 |
| B. | ( frac{z^5 0.25^5}{z^4 (z-0.25)} ), z>0 |
| C. | ( frac{z^5 0.25^5}{z^3 (z-0.25)} ), z<0.25 |
| D. | ( frac{z^5 0.25^5}{z^4 (z-0.25)} ), all z |
| Answer» E. | |
| 9. |
The z-transform of u[n] is _________ |
| A. | ( frac{1}{1-z^{-1}} ), |Z|>1 |
| B. | ( frac{1}{1-z^{-1}} ), |Z|<1 |
| C. | ( frac{z}{1-z^{-1}} ), |Z|<1 |
| D. | ( frac{z}{1-z^{-1}} ), |Z|>1 |
| Answer» B. ( frac{1}{1-z^{-1}} ), |Z|<1 | |
| 10. |
The z-transform of [n+k]>0 is __________ |
| A. | Z<sup>-k</sup>, Z 0 |
| B. | Z<sup>k</sup>, Z 0 |
| C. | Z<sup>-k</sup>, all Z |
| D. | Z<sup>k</sup>, all Z |
| Answer» E. | |
| 11. |
The z-transform of [n-k]>0 is __________ |
| A. | Z<sup>k</sup>, Z>0 |
| B. | Z<sup>-k</sup>, Z>0 |
| C. | Z<sup>k</sup>, Z 0 |
| D. | Z<sup>-k</sup>, Z 0 |
| Answer» E. | |