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31
Let the signal f(t) = 0 outside the interval [T1, T2], where T1 and T2 are finite. Furthermore, |f(t)| < ∞. The region of convergence (ROC) of the signal's bilateral Laplace transform F(s) is
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Answer: Option C
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32
Impulse invariance method is not preferred in the design of FIR filter other than low pass filter because of
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Answer: Option C
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33
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
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Answer: Option B
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34
A linear phase channel with phase delay Tp and group delay Tg must have
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Answer: Option A
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35
A signal x(t) = sinc(αt), where α is a real constant, is the input to a linear time invariant system whose impulse response is h(t) = sinc(βt), where β is a real constant. If min(α, β) denotes the minimum of α and β and similarly, max(α, β) denotes the maximum of α and β, and K is a constant, which one of the following statements is true about the $$\left( {{\text{here, }}\sin {\text{c}}\left( {\text{x}} \right) = \frac{{\sin \left( {\pi {\text{x}}} \right)}}{{\pi {\text{x}}}}} \right)$$     output of the system?
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Answer: Option A
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36
An LTI system having transfer function $$\frac{{{s^2} + 1}}{{{s^2} + 2s + 1}}$$   and input x(t) = sin(t + 1) is in steady state. The output is sampled at a rate ωs rad/s to obtain the final output {y(k)}. Which of the following is true?
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Answer: Option A
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37
Which one of the following must be satisfied if a signal is to be periodic for -∞ < t < ∞?
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Answer: Option A
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38
Express the following finite discrete time signal as the difference of two unit step sequences:
x[n] = 1, for 0 ≤ n ≤ 5; and 0 otherwise.
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Answer: Option A
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39
A periodic function of half-wave symmetry is necessarily
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Answer: Option D
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40
The Laplace transformation of a doublet is:
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Answer: Option A
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