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ECE :: Signals and Systems

  1. Assertion (A): In order that f(t) is Laplace transformable, it is necessary that for real positive σ1

    Reason (R): If f(t) is known we can find F(s) and vice versa.

  2. 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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  3. A gate function which occurs at t = t0 and lasts for duration T can be written as

  4. A.
    u (t - t0 - T)
    B.
    u(t - t0) = u(t - t0 - T)
    C.
    u(t - t0) - u(t - t0 - T)
    D.
    u(t - t0) - u(t - t0 + T)

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  5. Assertion (A): The response of a network to an impluse is determined only by the parameters of the network.

    Reason (R): If f(t) is a unit parabolic function, its Laplace transform is 1/s3

  6. 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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  7. Assertion (A): δ(t - b) is an impulse occuring at t = b

    Reason (R): Intergal of unit impulse gives unit step function.

  8. 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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  9. If a signal g(t) has energy E, then the energy of the signal g(2t) is equal to ...

  10. A.
    E/2
    B.
    E/4
    C.
    E
    D.
    2E

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  11. FIR filter Passes __________ Phase.

  12. A.
    non-linear phase
    B.
    linear phase
    C.
    variable phase
    D.
    none

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  13. A trigonometric series has

  14. A.
    single sided spectra
    B.
    zero
    C.
    sync function
    D.
    undefined

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  15. If a number of odd functions are added, the resultant sum is

  16. A.
    even function
    B.
    odd funtion
    C.
    either even or odd function
    D.
    mixture of odd amd even functions

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  17. In what range should Re(s) remains so that Laplace transform of the function e(a + 2)t + 5 exists?

  18. A.
    Re(s) > a + 2
    B.
    Re(s) > a + 7
    C.
    Re(s) < a
    D.
    Re(s) > a + 5

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  19. Which one of the following rules determines the mapping of s-plane to z-plane?

  20. A.
    Right half of the s-plane maps into outside of the unit circle in z-plane
    B.
    Left half of the s-plane maps into outside of the unit circle.
    C.
    Imaginary axis in s-plane maps in to the circumference of the unit circle.
    D.
    All of the above

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