Signal Processing MCQ Questions & Answers

51

The impulse response of a discrete time system is given by
h(n) = $$\frac{1}{2}$$ (δ[n] + δ[n - 2])
The magnitude of the response can be expressed as

A) |cosΩ| B) cosΩ C) |sinΩ| D) sinΩ

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Answer & Solution

Answer: Option B

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52

The z-transform X(z) of a real and right-sided sequence x[n] has exactly two poles and one of them is at $$z = {e^{\frac{{i\pi }}{2}}}$$ and there are two zeros at the origin. If x(1) = 1, which one of the following is TRUE?

A) $$X\left( z \right) = \frac{{2{z^2}}}{{{{\left( {z - 1} \right)}^2} + 2}},\,{\text{ROC}}\,{\text{is}}\,\frac{1}{2} < \left| z \right| < 1$$ B) $$X\left( z \right) = \frac{{2{z^2}}}{{{z^2} + 1}},\,{\text{ROC}}\,{\text{is}}\,\left| z \right| > \frac{1}{2}$$ C) $$X\left( z \right) = \frac{{2{z^2}}}{{{{\left( {z - 1} \right)}^2} + 2}},\,{\text{ROC}}\,{\text{is}}\,\left| z \right| > 1$$ D) $$X\left( z \right) = \frac{{2{z^2}}}{{{z^2} + 1}},\,{\text{ROC}}\,{\text{is}}\,\left| z \right| > 1$$

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Answer & Solution

Answer: Option D

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53

Which of the following systems is non-linear?

A) y(t) = 2x(t - 1) - 3x(t - 2) + x(t - 3) B) y(t) = 2x(t - 1) - 3x(t - 2) - x(t - 3) C) y(t) = 2x(t) + 3.6 D) y(t) = 5x(t)

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Answer & Solution

Answer: Option C

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54

Which dirichlet's condition(s) is/are related to Fourier transform?
1. Function is absolutely integrable
2. Function must have finite extremas
3. Function has finite discontinuities

A) Only 1 B) Only 2 C) Only 3 D) All three

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Answer & Solution

Answer: Option D

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55

For a discrete LTI system, the impulse response is u[n]. What is its step response?

A) nu[n - 1] B) n²u[n] C) nu[n] D) u[n]

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Answer & Solution

Answer: Option C

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56

The Butterworth filter of order n is described by the magnitude squared of its frequency response given by $${\left| {{H_n}\left( {j\Omega } \right)} \right|^2} = \frac{1}{{\left[ {1 + {{\left( {\frac{\Omega }{{{\Omega _{\,C}}}}} \right)}^{2n}}} \right]}}.$$ The value of $$20\log \left| {{H_n}\left( {j\Omega } \right)} \right|$$ at $$\Omega = {\Omega _{\,C}}$$ is

A) -2 dB B) -3.01 dB C) -3 dB D) -3.5 dB

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Answer & Solution

Answer: Option B

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57

Find periodicity of signal cos2πt, jsin3t

A) aperiodic, periidic B) periodic, periodic C) aperiodic, aperiodic D) periodic, aperiodic

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Answer & Solution

Answer: Option B

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58

Which one of the following is the inverse z-transform of $$X\left( z \right) = \frac{z}{{\left( {z - 2} \right)\left( {z - 3} \right)}},\,\left| z \right| < 2?$$

A) [2ⁿ - 3ⁿ] u(-n - 1) B) [3ⁿ - 2ⁿ] u(-n - 1) C) [2ⁿ - 3ⁿ] u(n + 1) D) [2ⁿ - 3ⁿ] u(n)

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Answer & Solution

Answer: Option A

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59

A system function is $$H\left( s \right) = \frac{{V\left( s \right)}}{{I\left( s \right)}} = \frac{s}{{s + 3}},$$ the system is at rest for t < 0. i(t) = 2u(t) is an unit step. v(t) for t > 0 is given by

A) 2(1 - e^-3t) B) $$\frac{2}{3}$$(1 - e^-3t) C) 2(e^-3t) D) $$\frac{2}{3}$$(e^-3t)

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Answer & Solution

Answer: Option C

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60

Consider reconstructing a sinewave of frequency $${f_m},$$ the sampling frequency needed is,

A) $${f_m}$$ B) $$2{f_m}$$ C) slightly greater than $$2{f_m}$$ D) slightly greater than $$\frac{{{f_m}}}{2}$$

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Answer & Solution

Answer: Option C

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Signal Processing MCQ Questions & Answers | ECE