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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

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


  4. A system is stable if ROC

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

  6. The Laplace transform of a unit step function is

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

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

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

  10. 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


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

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

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

  14. A.
    True
    B.
    False

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

  16. A.
    True
    B.
    False

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

  18. 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