Signal Processing MCQ Questions & Answers

61

A discrete-time signal x[n] = δ[n - 3] + 2δ[n - 5] has z-transform X(z). If Y(z) = X(-z) is the z-transform of another signal y[n], then

A) y[n] = x[n] B) y[n] = x[-n] C) y[n] = -x[n] D) y[n] = -x[-n]

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Answer & Solution

Answer: Option C

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62

For a periodic signal
$$v\left( t \right) = 30\sin 100t + 10\cos 300t + 6\sin \left( {500t + {\pi \over 4}} \right),$$
the fundamental frequency in rad/s is

A) 100 B) 300 C) 500 D) 1500

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Answer & Solution

Answer: Option A

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63

The final value theorem is used to find the

A) Steady state value of the system output B) Initial value of the system output C) Transient behaviour of the system output D) None of these

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Answer & Solution

Answer: Option A

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64

The impulse response h[n] of a linear time-invariant system is given by
h[n] = u[n + 3] + u[n - 2] - 2u[n - 7],
where u[n] is the unit step sequence. The above system is

A) Stable but not causal B) Stable and causal C) Causal but unstable D) Unstable and not causal

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Answer & Solution

Answer: Option A

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65

The inverse Laplace transform of the function $${{s + 5} \over {\left( {s + 1} \right)\left( {s + 3} \right)}}$$ is

A) 2e^-t - e^-3t B) 2e^-t + e^-3t C) e^-t - 2e^-3t D) e^-t + 2e^-3t

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Answer & Solution

Answer: Option A

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66

If the Laplace transform of a signal y(t) is $$Y\left( s \right) = {1 \over {s\left( {s - 1} \right)}},$$ then its final value is

A) -1 B) 0 C) 1 D) Unbounded

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Answer & Solution

Answer: Option D

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67

Specify the filter type if its voltage transfer function H(s) is given by
$$H\left( s \right) = {{K\left( {{s^2} + 1\omega _0^2} \right)} \over {{s^2} + \left( {{{{\omega _0}} \over Q}} \right)s + \omega _0^2}}$$

A) All pass filter B) Low pass filter C) Band pass filter D) Notch filter

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Answer & Solution

Answer: Option D

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68

Input x(t) and output y(t) of an LTI system are related by the differential equation y"(t) - y'(t) - 6y(t) = x(t). If the system is neither causal nor stable, the impulse response h(t) of the system is

A) $${1 \over 5}{e^{3t}}u\left( { - t} \right) + {1 \over 5}{e^{ - 2t}}u\left( { - t} \right)$$ B) $$ - {1 \over 5}{e^{3t}}u\left( { - t} \right) + {1 \over 5}{e^{ - 2t}}u\left( { - t} \right)$$ C) $${1 \over 5}{e^{3t}}u\left( { - t} \right) - {1 \over 5}{e^{ - 2t}}u\left( t \right)$$ D) $$ - {1 \over 5}{e^{3t}}u\left( { - t} \right) - {1 \over 5}{e^{ - 2t}}u\left( t \right)$$

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Answer & Solution

Answer: Option B

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69

A stable linear time invariant (LTI) system has a transfer function $$H\left( s \right) = {1 \over {{s^2} + s - 6}}.$$ To make this system causal it needs to be cascaded with another LTI system having a transfer function H₁(s). A correct choice for H₁(s) among the following options is

A) s + 3 B) s - 2 C) s - 6 D) s + 1

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Answer & Solution

Answer: Option B

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70

A signal m(t) with bandwidth 500 Hz is first multiplied by a signal g(t) where
$$g\left( t \right) = \sum\limits_{k = - \infty }^\infty {{{\left( { - 1} \right)}^k}\delta \left( {t - 0.5 \times {{10}^{ - 4}}k} \right)} $$
The resulting signal is then passed through an ideal low pass filter with bandwidth 1 kHz. The output of the low pass filter would be

A) δ(t) B) m(t) C) 0 D) m(t) δ(t)

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Answer & Solution

Answer: Option B

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Signal Processing MCQ Questions & Answers | ECE