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ECE :: Signals and Systems

  1. For matrix A, A-1 A = 1

  2. A.
    True
    B.
    False

  3. Assertion (A): The Fourier series of the wave shown in the figure does not contain even harmaonics

    Reason (R): If f(t) = - f(t ± T/2) the function is said to have half wave symmetry.

  4. 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

  5. The following table gives some time functions and the Laplace transforms

    Of these correctly matched pairs are

  6. A.
    2 and 4
    B.
    1 and 4
    C.
    3 and 4
    D.
    1 and 2

  7. If xk = 2k for k ≤ 0 and = 0 for k > 0 X(z) = 2/(2 - z).

  8. A.
    True
    B.
    False

  9. In plotting line spectrum

  10. A.
    a graph of complex number Fn versus frequency is plotted
    B.
    a graph of |Fn| versus frequency is plotted
    C.
    a graph of the angle of Fn versus frequency is plotted
    D.
    two graphs viz |Fn| versus frequency and the phase angle of Fn versus frequency are plotted

  11. The given figure shows a square wave i(t). Then I(s) =


  12. If the region of convergence of x1(n) + x2(n) is then the region of convergence of x1[n] - x2[n] includes


  13. Assertion (A): Transient periods are of short duration but can result in dangerously high voltages and currents.

    Reason (R): Circuit equations in transient analysis are integral differential equations.

  14. 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

  15. If f(t) ↔ F(jω),

  16. A.
    F(jω)
    B.
    [F(jω)]n
    C.
    (jω)n F(jω)
    D.

  17. The energy of highest value of Autocorrelation of a function 100 cos 50 pt is

  18. A.
    50
    B.
    10
    C.
    200
    D.
    zero