Signal Processing MCQ Questions & Answers

1

The Fourier transform of a real valued time signal has

A) Odd symmetry B) Even symmetry C) Conjugate symmetry D) No symmetry

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Answer & Solution

Answer: Option C

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2

The RMS value of a rectangular wave of period T, having a value of +V for a duration, T₁(< T) and -V for the duration, T - T₁ = T₂ equals

A) $$V$$ B) $${{{T_1} - {T_2}} \over T}V$$ C) $${V \over {\sqrt 2 }}$$ D) $${{{T_1}} \over {{T_2}}}V$$

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Answer & Solution

Answer: Option A

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3

A continuous time function x(t) is periodic with period T. The function is sampled uniformly with a sampling period T_s. In which one of the following cases is the sampled signal periodic?

A) $$T = \sqrt 2 {T_s}$$ B) T = 1.2T_s C) Always D) Never

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Answer & Solution

Answer: Option B

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4

The phase response of a passband waveform at the receiver is given by
$$\varphi \left( f \right) = - 2\pi \alpha \left( {f - {f_c}} \right) - 2\alpha \beta {f_c},$$
where f_c is the centre frequency, and α and β are positive constants. The actual signal propagation delay from the transmittance to receiver is

A) $${{\alpha - \beta } \over {\alpha + \beta }}$$ B) $${{\alpha \beta } \over {\alpha + \beta }}$$ C) α D) β

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Answer & Solution

Answer: Option C

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5

For a given sample-and-hold circuit, if the value of the hold capacitor is increased, then

A) Drop rate decreases and acquisition time decreases B) Drop rate decreases and acquisition time increases C) Drop rate increases and acquisition time decreases D) Drop rate increases and acquisition time increases

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Answer & Solution

Answer: Option B

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6

A continuous time LTI system is described by
$${{{d^2}y\left( t \right)} \over {d{t^2}}} + 4{{dy\left( t \right)} \over {dt}} + 3y\left( t \right) = 2{{dx\left( t \right)} \over {dt}} + 4x\left( t \right)$$
Assuming zero initial conditions, the response y(t) of the above system for the input x(t) = e^-2tu(t) is given by

A) (e^t - e^3t)u(t) B) (e^-t - e^-3t)u(t) C) (e^-t + e^-3t)u(t) D) (e^t + e^3t)u(t)

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Answer & Solution

Answer: Option B

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7

A rectangular pulse train s(t) as shown in the figure is convolved with the signal cos²(4π × 10³t). The convolved signal will be a
Signal Processing mcq question image

A) DC B) 12 kHz sinusoid C) 8 kHz sinusoid D) 14 kHz sinusoid

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Answer & Solution

Answer: Option A

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8

The transfer function of a zero-order hold is

A) $${{1 - \exp \left( { - {T_s}} \right)} \over s}$$ B) $${1 \over s}$$ C) 1 D) $${1 \over {\left[ {1 - \exp \left( { - {T_s}} \right)} \right]}}$$

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Answer & Solution

Answer: Option A

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9

The 3-dB bandwidth of the low-pass signal e^-tu(t), where u(t) is the unit step function, is given by

A) $${1 \over {2\pi }}Hz$$ B) $${1 \over {2\pi }}\sqrt {\sqrt 2 - 1} Hz$$ C) ∞ D) 1 Hz

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Answer & Solution

Answer: Option A

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10

A system is described by the differential equation $${{{d^2}y} \over {d{t^2}}} + 5{{dy} \over {dt}} + 6y\left( t \right) = x\left( t \right).$$ Let x(t) be a rectangular pulse given by
$$x\left( t \right) = \left\{ {\matrix{ {1,} & {0 < t < 2} \cr {0,} & {{\rm{otherwise}}} \cr } } \right.$$
Assuming that y(0) = 0 and $${{dy} \over {dt}} = 0$$ at t = 0, the Laplace transform of y(t) is

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

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Answer & Solution

Answer: Option B

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Signal Processing MCQ Questions & Answers | ECE