Q. The unit step response of a system starting from rest is given by c(t) = 1 - e^(-2t) for t ≥ 0. The transfer function of the system is

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Q. Check the following system for causality

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Q. Paley Wiener criterion for designing of filter is

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Q. The Laplace transform of cos ωt is

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Q. The response of a linea, time invariant discrete time system to a unit step input ∪(n) is the unit impulse δ(n). The system response to a ramp input n ∪(n) would be

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Q. The impulse response h[n] of a linear time invariant system is given as below. If the input to the above system is the sequence e^(jπn/4), then the output is

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Q. In the periodic train of rectangular pulses F₀ = (V₀/T)d

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Q. Z transform of [(Xk±k₀)] =

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Q. If f(t) ↔ F(jω), and f(t) is real, then

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Q. Initial value theroem for sequence x[n] is

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Q. The energy E associated with time function f(t) is

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Q. If F[jω] is Fourier transform of f(t), then Fourier transform of f(- t) =

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Q. The solution of state equations using Laplace transform is

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Q. Consider the following statements:

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Q. e^(At) can be expanded as

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Q. Consider the following and answer accordingly:

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Q. The function in the given figure can be written as

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Q. Consider the following as regards probability distribution function f(x). which of these are correct?

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Q. Inverse Fourier transform of ∪(ω) is

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Q. The triangular wave of the given figure can be written as v(t) = u(t) - tu(t) + (t - 1) u(t - 1)

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