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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

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  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

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

  6. A.
    True
    B.
    False

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  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

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  9. The function sinc x is equal to

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  11. The Z inverse of the given Z transform is

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

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

  14. A.
    True
    B.
    False

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

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

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  17. 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:

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

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  19. Assertion (A): If

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

  20. 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

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