Signal Processing MCQ Questions & Answers

81

A system with input x[n] and output y[n] is given as $$y\left( n \right) = \left( {\sin {5 \over 6}\pi n} \right)x\left( n \right).$$
The system is

A) Linear, stable and invertible B) Non-linear, stable and non-invertible C) Linear, stable and non-invertible D) Linear, unstable and invertible

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Answer & Solution

Answer: Option C

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82

The Fourier transform of a voltage signal x(t) is X(f). The unit of |X(f)| is

A) Volt B) Volt-sec C) Volt/sec D) Volt²

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Answer & Solution

Answer: Option A

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83

An excitation is applied to a system at t = land its response is zero for -∞ < t < T. Such a system is a

A) Non-causal system B) Stable system C) Causal system D) Unstable system

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Answer & Solution

Answer: Option C

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84

A realization of a stable discrete time system is shown in figure. If the system is excited by a unit step sequence input x[n], the response y[n] is
Signal Processing mcq question image

A) $$4{\left( { - \frac{1}{3}} \right)^n}u\left[ n \right] - 5{\left( { - \frac{2}{3}} \right)^n}u\left[ n \right]$$ B) $$5{\left( { - \frac{2}{3}} \right)^n}u\left[ n \right] - 3{\left( { - \frac{1}{3}} \right)^n}u\left[ n \right]$$ C) $$5{\left( { - \frac{1}{3}} \right)^n}u\left[ n \right] - 3{\left( { - \frac{2}{3}} \right)^n}u\left[ n \right]$$ D) $$5{\left( { - \frac{2}{3}} \right)^n}u\left[ n \right] - 5{\left( { - \frac{1}{3}} \right)^n}u\left[ n \right]$$

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Answer & Solution

Answer: Option C

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85

Match the following and choose the correct combination.

Group I	Group II
E. Continuous and aperiodic signal	1. Fourier representation is continuous and aperiodic.
F. Continuous and periodic signal	2. Fourier representation is discrete and aperiodic.
G. Discrete and aperiodic signal	3. Fourier representation is continuous and periodic.
H. Discrete and periodic signal	4. Fourier representation is discrete and periodic.

A) E-3, F-2, G-4, H-1 B) E-1, F-3, G-2, H-4 C) E-1, F-2, G-3, H-4 D) E-2, F-1, G-4, H-3

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Answer & Solution

Answer: Option C

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86

If L[f(t)] = F(s), then L[f(t - T)] is equal to

A) e^sTF(s) B) e^-sTF(s) C) $${{F\left( s \right)} \over {1 + {e^{sT}}}}$$ D) $${{F\left( s \right)} \over {1 - {e^{ - sT}}}}$$

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Answer & Solution

Answer: Option B

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87

The impulse response h(t) of a linear time-invariant continuous time system is described by h(t) = exp(αt)u(t) + exp(βt)u(-t), where u(t) denotes the unit step function, and α and β are real constants. This system is stable if

A) α is positive and β is positive B) α is negative and β is negative C) α is positive and β is negative D) α is negative and β is positive

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Answer & Solution

Answer: Option D

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88

Given that
$$L\left[ {f\left( t \right)} \right] = {{s + 2} \over {{s^2} + 1}},L\left[ {g\left( t \right)} \right] = {{{s^2} + 1} \over {\left( {s + 3} \right)\left( {s + 2} \right)}},$$ $$h\left( t \right) = \int\limits_0^t {f\left( \tau \right)} g\left( {t - \tau } \right)d\tau $$
L[h(t)] is

A) $${{{s^2} + 1} \over {s + 3}}$$ B) $${1 \over {s + 3}}$$ C) $${{{s^2} + 1} \over {\left( {s + 3} \right)\left( {s + 2} \right)}} + {{s + 2} \over {{s^2} + 1}}$$ D) None of the above

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Answer & Solution

Answer: Option B

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89

An FIR system is described by the system function
$$H\left( z \right) = 1 + \frac{7}{2}{z^{ - 1}} + \frac{3}{z}{z^{ - 2}}$$
The system is

A) Maximum phase B) Minimum phase C) Mixed phase D) Zero phase

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Answer & Solution

Answer: Option C

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90

For a signal x(t) the Fourier transform is X(f). Then the inverse Fourier transform of X(3f + 2) is given by

A) $${1 \over 2}x\left( {{t \over 2}{e^{j3\pi t}}} \right)$$ B) $${1 \over 2}x\left( {{t \over 2}} \right){e^{ - {{j4\pi t} \over 3}}}$$ C) 3x(3t)e^-j4πt D) x(3t + 2)

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Answer & Solution

Answer: Option B

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Signal Processing MCQ Questions & Answers | ECE