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ECE :: Signals and Systems

  1. Fourier transform of sgn (t) is

  2. A.
    B.
    C.
    U(t)
    D.
    2δ(ω)

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  3. If the number of ways an event may result ins analysed into m successes and n failures, each equally likely to occur, the probability of success in a single trial is m( m + n)

  4. A.
    True
    B.
    False

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  5. If n is the number of observations and r is the residue, the standard deviation σ =

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  7. Which one is correct option about ROC?

  8. A.
    ROC does not contain any pole
    B.
    ROC of finite duration sequence is entire plane expect z = 0, z = ∞
    C.
    a and b
    D.
    only a

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  9. Assertion (A): The scalling theroem in Laplace transform relates the scale changes in s domain to the consequent changes in t domain.

    Reason (R): If

  10. 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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  11. The integral of a unit impulse is unit step function.

  12. A.
    True
    B.
    False

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  13. If X(z) = (1 - az-1)-1 and |a| < |z|, the initial value x0 = 0

  14. A.
    True
    B.
    False

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  15. Assertion (A): The exponential form of Fourierseries is

    Reason (R): If f(t) is an even function, the coefficients Fn are real.

  16. 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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  17. The z transform of fk = ak is

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  19. In the given figure f(t) is an even function.

  20. A.
    True
    B.
    False

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