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ECE :: Signals and Systems

  1. If i(t) is a time varying current, is

  2. A.
    initial current
    B.
    initial charge
    C.
    initial flux leakages
    D.
    initial voltage

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  3. For the discrete time system of the given figure

  4. A.
    yk = 0.5 uk - 2 - uk - 0.25 yk - 1
    B.
    yk = 0.5 uk - 1 - uk - 0.25 yk - 1
    C.
    yk = 0.5 uk - uk - 1 - 0.25 yk - 1
    D.
    yk = 0.5 uk - 1 - uk - 1 - 0.25 yk - 1

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  5. The signal is

  6. A.
    periodic for t > 0
    B.
    non-periodic
    C.
    periodic for t < 0
    D.
    depends on t

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  7. In the state equation x = AX + Bu is a n x m matrix.

  8. A.
    True
    B.
    False

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  9. If the poles of H(z) are at

  10. A.
    B.
    z = 1 and z = 3
    C.
    D.
    z = -1 and z = -3

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  11. Which one is a non-causal system?

  12. A.
    y(n) = x(2n)
    B.
    y(n) = x(n/2)
    C.
    y(n) = x(n/2) + x(n)
    D.
    all

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  13. A linear system is characterized by H(ω) = Be-2ω2 the system is physically

  14. A.
    unrealizable
    B.
    realizable
    C.
    depends upon B
    D.
    depends upon constant 2

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  15. The current in a circuit with 10 Ω resistance is i = 3 + 4 sin (100 t + 45°) + 4 sin (300 t + 60°) A. The rms current and power dissipated are

  16. A.
    41 A and 410 W
    B.
    35 A and 350 W
    C.
    5 A and 250 W
    D.
    11 A and 1210 W

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  17. Fourier transform pair are

  18. A.
    autocorrelation and power spectral density
    B.
    autocorrelation and convoloution
    C.
    convolution and power spectral density
    D.
    autocorrelation and energy

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  19. The function x(t) is shown in the given figure. Even and odd parts of a unit step function ∪ (t) are respectively,

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