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. |
Convert analogue filter into IIR digital filter with system function. The digital filter is to have resonant frequency \({\omega _r} = \frac{\pi }{2}\) (use by bilinear transformation)\(H\left( s \right) = \frac{{s + 0.1}}{{{{\left( {s + 0.1} \right)}^2} + 16}}\) |
| A. | \(H\left( z \right) = \frac{{0.128 + 0.006{z^{ - 1}} - 0.122{z^{ - 2}}}}{{1 + 0.0006{z^{ - 1}} + 0.975{z^{ - 2}}}}\) |
| B. | \(H\left( z \right) = \frac{{0.128 + 0.006{z^{ - 1}} + 0.122{z^{ - 2}}}}{{1 + 0.0006{z^{ - 1}} + 0.975{z^{ - 2}}}}\) |
| C. | \(H\left( Z \right) = \frac{{0.128}}{{1 + 0.0006{z^{ - 1}}}}\) |
| D. | \(H\left( Z \right) = \frac{{0.006{z^{ - 1}}}}{{1 + 0.0006{z^{ - 1}}}}\) |
| Answer» B. \(H\left( z \right) = \frac{{0.128 + 0.006{z^{ - 1}} + 0.122{z^{ - 2}}}}{{1 + 0.0006{z^{ - 1}} + 0.975{z^{ - 2}}}}\) | |
| 2. |
Directions: The question consists of two statements, one labeled as ‘Statement (I)’ and the other labeled as ‘Statement (II)’. You are to examine these two statements carefully and select the answers to these items using the codes given below:Statement (I): Non-stationary signals such as an image require time-frequency analysis.Statement (II): The short-time Fourier transform (STFT) can map a one-dimensional function f (t) into the two-dimensional function, STFT (f). |
| A. | Both Statement (I) and Statement (II) are individually true and Statement (II) is the correct explanation of Statement (I) |
| B. | Both Statement (I) and Statement (II) are individually true but Statement (II) is NOT the correct explanation of Statement (I) |
| C. | Statement (I) is true but Statement (II) is false |
| D. | Statement (I) is false but Statement (II) is true |
| Answer» C. Statement (I) is true but Statement (II) is false | |
| 3. |
A discrete LTI system represented by difference equation y[n] = x[n] - 2x[n - 1] + x[n - 2] will act as |
| A. | Band pass filter |
| B. | Low pass filter |
| C. | Band stop filter |
| D. | None of the above |
| Answer» E. | |
| 4. |
A digital filter is said to be an IIR if: |
| A. | It oscillates |
| B. | All its poles lie outside the unit circle |
| C. | Current output depends on the previous output |
| D. | One or more denominator coefficients is non-zero |
| Answer» D. One or more denominator coefficients is non-zero | |
| 5. |
It is desired to find a three-tap causal filter that gives zero signal as an output to an input of the form \(x\left[ n \right] = {c_1}\exp \left( { - \frac{{j\pi n}}{2}} \right) + {c_2}\exp \left( {\frac{{j\pi n}}{2}} \right)\), where c1 and c2 are arbitrary real numbers. The desired three-tap filter is given by h[0] = 1, h[1] = a, h[2] = b and h[n] = 0 for n < 0 or n > 2. What are the values of the filter taps a and b if the output is y[n] = 0 for all n when x[n] is as given above? |
| A. | a = 1, b = 1 |
| B. | a = 0, b = −1 |
| C. | a = −1, b = 1 |
| D. | a = 0, b = 1 |
| Answer» E. | |
| 6. |
For the realization of a length M FIR filter for a linear phase structure, the number of multipliers required is |
| A. | \(\left[ {\frac{{M + 1}}{2}} \right]\) |
| B. | 2M |
| C. | M |
| D. | M - 1 |
| Answer» B. 2M | |
| 7. |
A Blackman window can eliminate ripple in FIR filters. The tradeoff is |
| A. | Larger transition bandwidth |
| B. | Smaller transition bandwidth |
| C. | Non linear phase response |
| D. | Instability |
| Answer» B. Smaller transition bandwidth | |
| 8. |
Consider the following statements pertaining to FIR filters:1) These are non-recursive and hence stable.2) These have high coefficient sensitivity3) These have linear phase characteristics.4) These are realized using feedback structures.Which of the above statements are correct? |
| A. | 1 and 4 |
| B. | 2 and 3 |
| C. | 1 and 3 |
| D. | 2 and 4 |
| Answer» D. 2 and 4 | |
| 9. |
In IIR filter design by Bilinear transformation, the Bilinear transformation is a mapping from, |
| A. | Z-plane to S-plane |
| B. | S-plane to Z-plane |
| C. | S-plane to J-plane |
| D. | J-plane to Z-plane |
| Answer» C. S-plane to J-plane | |
| 10. |
In radix-2 FFT, if the number of points N = 16 then the number of complex additions and number of complex multiplications are respectively |
| A. | 8 and 4 |
| B. | 24 and 12 |
| C. | 64 and 32 |
| D. | 160 and 80 |
| Answer» D. 160 and 80 | |
| 11. |
Consider a six-point decimation-in-time Fast Fourier Transform (FFT) algorithm, for which the signal-flow graph corresponding to X[1] is shown in the figure. Let \({W_6} = \exp \left( { - \frac{{j2\pi }}{6}} \right)\). In the figure, what should be the values of the coefficients a1, a2, a3 in terms of W6 so that X[1] is obtained correctly? |
| A. | \({a_1} = \; - 1,{a_2}\; = \;{a_6},{a_3}\; = \;W_6^2\) |
| B. | \({a_1} = \;1,{a_2}\; = W_6^2\;,{a_3}\; = {W_6}\;\) |
| C. | \({a_1} = \;1,{a_2}\; = \;{W_6^1},{a_3}\; = W_6^2\) |
| D. | \({a_1} = - 1,{a_2}\; = W_6^2\;,{a_3}\; = {W_6}\) |
| Answer» D. \({a_1} = - 1,{a_2}\; = W_6^2\;,{a_3}\; = {W_6}\) | |