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ECE :: Signals and Systems

  1. If a complex voltage wave is applied to a pure inductance, the resulting current wave is much smoother than the voltage wave.

  2. A.
    True
    B.
    False

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  3. If a function f(t) is Laplace transformable, then

  4. A.
    |f(t)| e1t dt < ∞ for a real positive σ1
    B.
    |f(t)| e1t dt < 0 for a real positive σ1
    C.
    |f(t)| e1t dt < 0 for a real positive σ1
    D.
    |f(t)| e1t dt < ∞ for a real positive σ1

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  5. In the given figure shows a periodic triangular wave. The Fourier series will have

  6. A.
    all cosine terms
    B.
    all sine terms
    C.
    odd cosine terms
    D.
    odd sine terms

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  7. If xk is one sided to the right

  8. A.
    True
    B.
    False

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  9. A discrete LTI system is non-casual if its impulse response is

  10. A.
    an ∪(n - 2)
    B.
    an-2 ∪(n)
    C.
    an+2 ∪(n)
    D.
    an ∪(n + 2)

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  11. consider the following as regards cumulative disribution function F(x)

    1. 0 ≤ F(x) ≤ 1
    2. F(- ∞) = 0
    3. F(∞) = 1
    4. F(x1) ≤ F(x2) If x1 < x2
    Out of above which are correct?

  12. A.
    1 and 2 only
    B.
    1, 2 and 3 only
    C.
    1, 2, 3 and 4
    D.
    2 and 4

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  13. Assertion (A): Fourier series can also be written in exponential form.

    Reason (R): sin (n ωt) and cos (n ωt) can be expressed as sum or difference of exponentials.

  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

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  15. A number of impulses spaced fron one another form an impulse train.

  16. A.
    True
    B.
    False

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  17. In a complex wave, the negative half of the wave is a reproduction of the positive half wave. Then

  18. A.
    the wave contains only fundamental and third harmonic
    B.
    the wave does not contain even harmonics
    C.
    the wave does not contain odd harmonics
    D.
    the wave does not contain triple harmonics

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  19. If and k > 0
    X(z) = - In (1 - z-1) with 1 < |z|

  20. A.
    True
    B.
    False

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