MCQOPTIONS
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This section includes 12 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. |
For a stable system which of the following is correct? |
| A. | |z| < 1 |
| B. | |z| = 1 |
| C. | |z| > 1 |
| D. | |z| ≠ 1 |
| Answer» B. |z| = 1 | |
| 2. |
The CDF for a certain random variable is given as F(x) = {0, -∞ |
| A. | 100 |
| B. | 50 |
| C. | 1/50 |
| D. | 1/100 |
| Answer» E. | |
| 3. |
The spectral density of white noise is ____________ |
| A. | Exponential |
| B. | Uniform |
| C. | Poisson |
| D. | Gaussian |
| Answer» C. Poisson | |
| 4. |
The area under Gaussian pulse \(\int_{-∞}^∞ e^{{-π}^{{t}^2}} \,dt \) is ___________ |
| A. | Unity |
| B. | Infinity |
| C. | Pulse |
| D. | Zero |
| Answer» B. Infinity | |
| 5. |
The value of z{[k-1] u(k)} is _______________ |
| A. | \(\frac{z(z+2)}{(z-1)^2}\) |
| B. | \(\frac{2z-z^2}{(z-1)^2}\) |
| C. | \(\frac{z^2}{(z-1)^2}\) |
| D. | \(\frac{z(z-2)}{(z+1)^2}\) |
| Answer» C. \(\frac{z^2}{(z-1)^2}\) | |
| 6. |
X1(z) = 2z + 1 + z-1 and X2(z) = z + 1 + 2z-1 is ________________ |
| A. | Even signal |
| B. | Odd signal |
| C. | In time power signal |
| D. | In time energy signal |
| Answer» E. | |
| 7. |
Given 2 signals (-3)k u(k) and u (k-1). These two signals are superimposed. This superimposed signal is _______________ |
| A. | \(\frac{z}{z+3} + \frac{1}{z-1}\) |
| B. | \(\frac{z}{z+3} – \frac{1}{z-1}\) |
| C. | \(\frac{z}{z-3} + \frac{1}{z-1}\) |
| D. | \(\frac{z}{z+3} + \frac{1}{z+1}\) |
| Answer» B. \(\frac{z}{z+3} – \frac{1}{z-1}\) | |
| 8. |
If a system has N different poles, then the system can have ______________ |
| A. | N ROC’s |
| B. | (N-1) ROC’s |
| C. | (N+1) ROC’s |
| D. | 2N ROC’s |
| Answer» D. 2N ROC’s | |
| 9. |
The value of z(ak u[-k]) is _______________ |
| A. | \(\frac{z}{z-a}\) |
| B. | \(\frac{z}{a-z}\) |
| C. | \(\frac{z^2}{z-a}\) |
| D. | \(\frac{a}{a-z}\) |
| Answer» C. \(\frac{z^2}{z-a}\) | |
| 10. |
The z-transform of –u(-n-1) is ___________ |
| A. | \(\frac{1}{1-z}\) |
| B. | \(\frac{z}{1-z}\) |
| C. | \(\frac{1}{1-z^{-1}}\) |
| D. | \(\frac{z}{1-z^{-1}}\) |
| Answer» D. \(\frac{z}{1-z^{-1}}\) | |
| 11. |
If H(f) = \(\frac{y(t)}{x(t)}\), then for this to be true x(t) is ___________ |
| A. | exp\((\frac{j2nf}{t})\) |
| B. | exp\((-\frac{j2nf}{t})\) |
| C. | exp(j2nft) |
| D. | exp(-j2nft) |
| Answer» D. exp(-j2nft) | |
| 12. |
Given a system function H(s) = \(\frac{1}{s+3}\). Let us consider a signal sin 2t. Then the steady state response is ___________ |
| A. | \(\frac{1}{8}\) |
| B. | Infinite |
| C. | 0 |
| D. | 8 |
| Answer» D. 8 | |