Signal Processing MCQ Questions & Answers

21

What will be the Laplace transform for f(t) = e^-btu(t)?

A) $$F\left( s \right) = \frac{s}{{s + b}}$$ B) $$F\left( s \right) = \frac{1}{{s\left( {s + b} \right)}}$$ C) $$F\left( s \right) = \frac{1}{{s + b}}$$ D) $$F\left( s \right) = \frac{s}{{1 + b}}$$

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Answer & Solution

Answer: Option C

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22

The even and odd components of the signal x(t) = e^-2t cos t are respectively,

A) cos 2t cos t and -sin 2t cos t B) sinh 2t sin t and -cosh 2t cos t C) cos 2t sin t and -sin 2t cos t D) cosh 2t cos t and -sinh 2t cos t

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Answer & Solution

Answer: Option D

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23

A band-limited lowpass signal is sampled at twice its Nyquist rate with f_s = 2000 sps. The signal is band-limited to

A) 250 Hz B) 1000 Hz C) 500 Hz D) 2000 Hz

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Answer & Solution

Answer: Option B

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24

For a given transmitted pulse p(t), 0 ≤ t ≤ T, the impulse response of a filter matched to the received signal is

A) -p(t - T), 0 ≤ t ≤ T B) -p(T - t), 0 ≤ t ≤ T C) p(t - T), 0 ≤ t ≤ T D) p(T - t), 0 ≤ t ≤ T

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Answer & Solution

Answer: Option D

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25

If \[x\left( n \right) = \left\{ \begin{array}{l} {\left( {\frac{1}{2}} \right)^n};\,0 \le n \le \left( {N - 1} \right)\\ 0;\,{\rm{otherwise}} \end{array} \right.\] then x(z) is equal to

A) $$\frac{{1 - {2^{ - N}}{z^{ - N}}}}{{1 - \left( {\frac{1}{2}} \right){z^{ - 1}}}}$$ B) $$\frac{{1 - {{\left( {\frac{1}{2}} \right)}^{ - N}}{z^{ - N}}}}{{1 - 2{z^{ - 1}}}}$$ C) $$\frac{{1 - {2^N}{z^{ - N}}}}{{1 - \left( {\frac{1}{2}} \right){z^{ - 1}}}}$$ D) $$\frac{{1 - {{\left( {\frac{1}{2}} \right)}^N}{z^{ - N}}}}{{1 - \left( {\frac{1}{2}} \right){z^{ - 1}}}}$$

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Answer & Solution

Answer: Option D

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26

Consider a single input single output discrete-time system with x[n] as input and y[n] as output, where the two are related as
\[y\left[ n \right] = \left\{ {\begin{array}{*{20}{c}} {n\left| {x\left[ n \right]} \right|,}&{{\text{for }}0 \leqslant n \leqslant 10} \\ {x\left[ n \right] - x\left[ {n - 1} \right],}&{{\text{otherwise}}} \end{array}} \right.\]
Which one of the following statements is true about the system?

A) It is causal and stable B) It is causal but not stable C) It is not causal but stable D) It is neither causal nor stable

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Answer & Solution

Answer: Option A

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27

The covariance function, C_x(τ), of a stationary stochastic process, x(t), is said to be positive definite. This means that

A) $${C_x}\left( \tau \right) \geqslant 0{\text{ for all }}\tau $$ B) $$\int\limits_{ - \infty }^\infty {{C_x}\left( \tau \right)d\tau \geqslant 0} $$ C) $$\int\limits_{ - \infty }^\infty {{C_x}\left( \tau \right)\exp \left( { - j\omega \tau } \right)d\tau \geqslant 0} {\text{ }}$$ D) $${C_x}\left( 0 \right) \geqslant 0$$

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Answer & Solution

Answer: Option A

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28

A composed signal is given by x(t) = cos(ωt) + sin(ωt) + sin²(ωt) + cos(ωt) + sin²(ωt). The odd component is

A) cos(ωt) B) sin(ωt) C) sin²(ωt) D) cos(ωt)sin²(ωt)

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Answer & Solution

Answer: Option B

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29

The signal x(n) shown in the above figure is a
Signal Processing mcq question image

A) periodic discrete time signal B) periodic signal C) non-periodic signal D) periodic discrete time signal consisting of 3 non-zero samples

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Answer & Solution

Answer: Option C

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30

Which of the following is NOT one of the representations of discrete-time signals?

A) Analytical representation B) Tabular representation C) Graphical representation D) Sequence representation

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Answer & Solution

Answer: Option A

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Signal Processing MCQ Questions & Answers | ECE