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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

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


  4. A signum function is

  5. 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

  6. Give that is

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

  8. If f(k) ↔ F(z), then kn fk

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

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

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

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

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

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

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

  16. The auto correlation of a sampling function is a

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

  18. The solution of state equations using Laplace transform is

  19. 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)