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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Q. The function shown in the figure

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Q. Consider the following statements :

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Q. If Fn represents Fourier series coefficient of f(t), then Fourier series coefficient of f(t + t) =

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Q. Fourier transform of unit step function is

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Q. Auto correlation R(t) of a function v(t) is defined as

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Q. Parseval's theorem for energy tells that

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Q. For Binomial Distribution

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Q. If f1(t) ↔ F1 (jω) and f2(t) ↔ F2(jω), then f1(t)↔ f2(t)

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Q. A wave f(t) has half wave symmetry and time period equal to T. Then

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Q. The two inputs to an analogue multiplier are x(t) and y(t) with fourier transforms X(f) and Y(f) respectively. The output Z(t) will have a transform Z(f) given by

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Q. If v(t) = 0 for t < 0 and v(t) = e^(-at) for t ≥ 0, V(jω) =

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Q. Consider the following equation.

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Q. Which of the following can be impulse response of a casual system?

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Q. The Laplace transform of sin ∝ t is

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Q. Fourier transform of the unit step function (i.e., u(t) = 1 for t ≥ 0 and u(t) = 0 for t < 0) is

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Q. The dirac delta function δ(t) is defined as

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Q. Laplace transforn of sin (ωt + a) is

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