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ECE :: Signals and Systems

  1. The discrete time system describes by y(n) = x(n2) is

  2. A.
    casual, Linear, time varying
    B.
    casual, non-linear, timevari
    C.
    non-casual, Linear, time invariant
    D.
    non-casual, non-linear, time variant

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  3. If Laplace transform of f(t) is F(s), then £[tf(t)] =

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  5. A system is stable if ROC

  6. A.
    include the unit circle
    B.
    exclude the unit circle
    C.
    lies on Circle
    D.
    entire plane

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  7. The Laplace transform of a unit step function is

  8. A.
    1
    B.
    1 / s
    C.
    s
    D.
    1 / s2

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  9. The minimum sampling frequency in sample/sec. required to reconstruct the following signal from its samples wuthout distortion
    would be

  10. A.
    2 x 103
    B.
    4 x 103
    C.
    6 x 103
    D.
    8 x 103

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  11. Given that h(t) = 10e-10t u(t) and e(t) = sin 10t u(t). The Laplace transform of f(t) = h(t - t) e(t)dt is

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  13. If ROC of x[n] is R1 then ROC of an x[n] is

  14. A.
    R1a
    B.
    R1/a
    C.
    a/R1
    D.
    R1 + a

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  15. x = AX + Bu is a state equation.

  16. A.
    True
    B.
    False

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  17. The standard deviation of a set of observations is the rms value of the deviation from the arithmetic mean.

  18. A.
    True
    B.
    False

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  19. The function shown in the given Figure can be written as

  20. A.
    sum of two sinusoidal functions
    B.
    sum of two sinusoidal functions one originating at t = 0 and the other at t = 1
    C.
    difference of two sinusoidal functions one originating at t = 0 and the other at t = 1
    D.
    none of the above

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