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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

  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)

  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

  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

  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

  11. FIR filter Passes __________ Phase.

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

  13. A trigonometric series has

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

  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

  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

  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