Signal Processing MCQ Questions & Answers

71

A system which has a unique relationship between its input and output is called

A) Linear system B) Causal system C) Time invariant system D) Invertible system

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Answer & Solution

Answer: Option D

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72

Laplace transform of the function v(t) shown in the figure is:
Signal Processing mcq question image

A) s²[1 - e^s] B) s²[1 - e^-s] C) $$\frac{1}{{{{\text{s}}^2}}}$$[1 - e^s] D) $$\frac{1}{{{{\text{s}}^2}}}$$[1 - e^-s]

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Answer & Solution

Answer: Option D

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73

Let x(t) be the input and y(t) be the output of a continuous time system. Match the system properties P₁, P₂ and P₃ with system relations R₁, R₂, R₃, R₄
Properties
P₁: Linear but NOT time-invariant
P₂: Time-invariant but NOT linear
P₃: Linear and time-invariant
Relations
R₁: y(t) = t²x(t)
R₂: y(t)= t|x(t)|
R₃: y(t) = |x(t)|
R₄: y(t) = x(t - 5)

A) (P₁, R₁), (P₂, R₃), (P₃, R₄) B) (P₁, R₂), (P₂, R₃), (P₃, R₄) C) (P₁, R₃), (P₂, R₁), (P₃, R₂) D) (P₁, R₁), (P₂, R₂), (P₃, R₃)

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Answer & Solution

Answer: Option A

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74

A system whose impulse response is zero outside of some finite interval is termed as

A) FIR B) IIR C) either FIR or IIR D) none of the above

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Answer & Solution

Answer: Option A

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75

For separating channels in FDM receivers

A) Band pass filters are used B) Band stop filters are used C) Differentiators are used D) Integrators are used

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Answer & Solution

Answer: Option A

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76

The probability cumulative distribution function must be monotone and

A) increasing B) decreasing C) non-increasing D) non-decreasing

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Answer & Solution

Answer: Option D

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77

Given that x₁(t) = e^k₁tu(t) and x₂(t) = e^-k₂tu(t). Which one of the following gives their convolution?

A) $$\frac{{\left[ {{e^{{k_1}t}} - {e^{ - {k_2}t}}} \right]}}{{\left[ {{k_1} + {k_2}} \right]}}$$ B) $$\frac{{\left[ {{e^{{k_1}t}} - {e^{ - {k_2}t}}} \right]}}{{\left[ {{k_2} - {k_1}} \right]}}$$ C) $$\frac{{\left[ {{e^{{k_1}t}} + {e^{ - {k_2}t}}} \right]}}{{\left[ {{k_2} + {k_1}} \right]}}$$ D) $$\frac{{\left[ {{e^{{k_1}t}} + {e^{ - {k_2}t}}} \right]}}{{\left[ {{k_2} - {k_1}} \right]}}$$

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Answer & Solution

Answer: Option A

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78

What is the magnitude square function of a normalized Butterworth filter to 1 rad/sec cut-off frequency as

A) $$\frac{1}{{1 + {{\left( \Omega \right)}^{2{\text{N}}}}}}$$ B) $$\frac{1}{{1 + {{\left( {\frac{\Omega }{{{\Omega _{{\text{ C}}}}}}} \right)}^{2{\text{N}}}}}}$$ C) $$\frac{1}{{\sqrt {1 + {{\left( {\frac{\Omega }{{{\Omega _{{\text{ C}}}}}}} \right)}^{2{\text{N}}}}} }}$$ D) $$\frac{1}{{\sqrt {1 - {{\left( {\frac{\Omega }{{{\Omega _{{\text{ C}}}}}}} \right)}^{2{\text{N}}}}} }}$$

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Answer & Solution

Answer: Option A

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79

If F(s) and G(s) are the Laplace transform of f(t) and g(t), then their product F(s).G(s) = H(s), where H(s) is the Laplace transform of h(t), is defined as

A) (f.g)(t) B) $$\int_0^{\text{t}} {{\text{f}}\left( \tau \right){\text{g}}\left( {{\text{t}} - \tau } \right){\text{d}}\tau } $$ C) Both A and B are correct D) f(t).g(t)

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Answer & Solution

Answer: Option B

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80

Which one of the following statements is correct for the given system?
$$y\left( n \right) = {x^2}\left( n \right) + \frac{1}{{{x^2}\left( {n - 1} \right)}}$$

A) The given system is linear, non-causal and shift-variant B) The given system is non-linear, causal and shift-invariant C) The given system is non-linear, causal and shift-variant D) The given system is linear, non-causal and shift-invariant

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Answer & Solution

Answer: Option B

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Signal Processing MCQ Questions & Answers | ECE