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ECE :: Signals and Systems

  1. which is the Laplace transform of x(t) = -e2t ∪(t) ⊕ t ∪(t)?

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  3. A linear discrete time system has the char. equation z3 - 0.81z = 0, the system is

  4. A.
    stable
    B.
    marginally stable
    C.
    unstable
    D.
    stability cannot be assessed from the given information

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  5. For a signal x(t) the F.T. is X(f). Then inverse F.T of X(3f + 2) is given by

  6. A.
    B.
    C.
    3x(3t)ej3pt
    D.
    x(3t + 2)

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  7. Energy density function is always

  8. A.
    even
    B.
    odd
    C.
    neither even nor odd
    D.
    both (a) and (b)

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  9. For Ergodic Process

  10. A.
    ensemble Average equal to time Average
    B.
    ensemble Average is not equal to time Average
    C.
    ensemble Average > Time Average
    D.
    ensemble Average < Time Average

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  11. Assertion (A): A non-sinusoidal wave can be expressed in terms of sine waves of different frequencies which are multiples of the frequency of fundamental.

    Reason (R): If negative half of a complex wave is a reproduction of the positive half, the even harmonics are absent.

  12. 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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  13. An experiment is repeated N times. One event A occurs NA times. Then

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  15. If f(t) is an even function, F(jω) =

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  17. A function will have only sine terms if

  18. A.
    f(t) = - f(t)
    B.
    f(-t) = f(t)
    C.
    f(-t) = -f(t)
    D.
    none of the above

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