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ECE :: Signals and Systems

  1. The peak factor is

  2. A.
    rms value/peak value
    B.
    rms value/average value
    C.
    peak value/rms value
    D.
    peak to peak value/rms value

  3. Assertion (A): A half cycle of sine wave can be expressed as sum of sine wave and another sine wave shifted by T/2 where T is the time period.

    Reason (R): The function u(t - t0) - u(t - t0 - T) is a gate function occuring at t = t0 and of duration T.

  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. If xk = ak and k ≥ 0
    X(z) = (1 - az-1)-1 with |a| < |z|

  6. A.
    True
    B.
    False

  7. The function δ' (t-b) is

  8. A.
    a step function originating at t = b
    B.
    an impulse function originating at t = b
    C.
    a unit doublet originating at = t - b
    D.
    none of the above

  9. The function sinc x is equal to


  10. The Z inverse of the given Z transform is

  11. A.
    Unit step
    B.
    Unit ramp
    C.
    Unit impulse
    D.
    Unit parabola

  12. To plot frequency spectrum we draw two graphs viz |Fn| versus frequency and φn versus frequency.

  13. A.
    True
    B.
    False

  14. If f(t) is an even function, the coefficients Fn in the exponential form of Fourier series

  15. A.
    are real
    B.
    are imaginary
    C.
    are complex
    D.
    may be real or imaginary

  16. In Laplace transforms s = σ + jω. Which of the following represents true natue of s. Select your answer using the given codes

    1. σ has a damping effect
    2. σ is responsible for convergence of integral f(t)e-st dt
    3. σ has a value less than zero
    Codes:

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

  18. Assertion (A): If

    Reason (R): Displacement in time domain by T becomes multiplication by e-st in s domain.

  19. 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