Signal Processing MCQ Questions & Answers

Section 1 Section 2 Section 3 Section 4 Section 5

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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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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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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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

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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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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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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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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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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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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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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1 2 3 4 5 6 7 8 9 10

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.

Signal Processing MCQ Questions & Answers | ECE

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

Answer & Solution

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

Answer & Solution

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

Answer & Solution

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

Answer & Solution

Answer & Solution

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

Answer & Solution

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

Answer & Solution

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

Answer & Solution

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

Answer & Solution

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

Answer & Solution

Read More Section(Signal Processing)

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

82.
The Fourier transform of a voltage signal x(t) is X(f). The unit of |X(f)| is

83.
An excitation is applied to a system at t = land its response is zero for -∞ < t < T. Such a system is a

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

86.
If L[f(t)] = F(s), then L[f(t - T)] is equal to

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

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

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

90.
For a signal x(t) the Fourier transform is X(f). Then the inverse Fourier transform of X(3f + 2) is given by