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ECE :: Signals and Systems

  1. If f(t) is an odd function

  2. A.
    True
    B.
    False

  3. The inverse z-transform of X(z) is


  4. Out of the three transforms viz. Z-transform, Laplace transform and Fourier transform

  5. A.
    all three are used in continuous time domain
    B.
    all three are used in both continuous time domain and discrete time domain
    C.
    Z transform is used in continuous time domain while Laplace and Fourier transforms are used in discrete time domain
    D.
    Z transform is used is discrete time domain while Laplace and Fourier transforms are used in continuous time domain

  6. In the representation f(t) = the set of complex coefficient Fn is the frequency spectrum of f(t)

  7. A.
    True
    B.
    False

  8. The integral of k u(t) is

  9. A.
    a ramp of slope k
    B.
    a ramp of slope 1/k
    C.
    k δ(t)
    D.

  10. Which one of following is a stataic system?

  11. A.
    y(n) = x(n) - x(n - 1)
    B.
    y(n) = x(2n) - x(2n-1)
    C.
    y(n) = x(n - 1)
    D.
    y(n) = ex(n)

  12. The impulse response of the DT - LTI system is given below
         
    Check whether the system is

    1. Stable
    2. Casual
    3. Dynamic.

  13. A.
    1 and 2
    B.
    2 and 3
    C.
    1 and 3
    D.
    1, 2 and 3

  14. If R(t) is autocorrelation of a waveform v(t) and R(0) is autocorrelation for t = 0, then

  15. A.
    R(0) > R(t)
    B.
    R(0) ≥ R(t)
    C.
    R(0) < R(t)
    D.
    R(0) ≤ R(t)

  16. Assertion (A): Impulse function is an important function in network analysis.

    Reason (R): Convolution integral enables us to find the response of a network to an arbitary input in terms of the impulse response.

  17. A.
    Both A and R are correct and R is correct explanation of A
    B.
    Both A and R are correct but R is not correct explanation of A
    C.
    A is true, R is false
    D.
    A is false, R is true

  18. For the single rectangular pulse of the given figure

    F(jω) = [Ad sin (ωd/2)]/(ωd/2).

  19. A.
    True
    B.
    False