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ECE :: Signals and Systems

  1. If a linear time invartant system is exicited by a pure random signal like white noise, the output of the linear system will have which of the following properties?

  2. A.
    Output will be a white noise
    B.
    Output will be periodic
    C.
    Output will be random
    D.
    Output will be correlated or coloured noise

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  3. The enery E associated with time function f(t) is

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  5. A signum function is

  6. A.
    zero for t greater than zero
    B.
    zero for t less than zero
    C.
    unity for t greater than zero
    D.
    2∪(t) - 1

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  7. Give that is

  8. A.
    B.
    C.
    D.
    None of these

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  9. If f(k) ↔ F(z), then kn fk

  10. A.
    [F(z)]n
    B.
    C.
    [F(z)]1/n
    D.

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  11. If a number of even functions are added, the resultant sum is

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

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  13. For the differential equation (D3 - D2 + D -1) [y(t)] = 0 the root of auxiliary equation are

  14. A.
    -j, j, 1
    B.
    -j, j, 2
    C.
    1, 2, j
    D.
    1, 2, -j

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  15. If F[jω] is Fourier transform of f(t), then Fourier transform of f(- t) =

  16. A.
    - F(jω)
    B.
    C.
    F*(jω)
    D.

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  17. The auto correlation of a sampling function is a

  18. A.
    triangular function
    B.
    gate function
    C.
    signum function
    D.
    none of the above

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  19. The solution of state equations using Laplace transform is

  20. A.
    x(t) = φ(t) x(0) + L-1 [φ(s) Bu(s)]
    B.
    x(t) = φ(s) x(0) + L-1 [φ(s) Bu(s)]
    C.
    x(t) = eAt X(0) + eA(t-t) Bu(t)dt
    D.
    Both (a) and (b)

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