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ECE :: Signals and Systems

  1. Determine the Fourier transform of unit step x(t) = u(t)
  2. A.
    1/j ω
    B.
    1/2j ω
    C.
    j ω
    D.
    2j ω

  3. The Fourier transform of u(t) is B(jω) & the laplace transform of u(t ) is A(s), then which of the following equation is satisfied
  4. A.

    B(jω) = A(s)|s=jω

    B.
    A(s) = 1/s but B(jω) ≠ 1/jω
    C.
    A(s) ≠ 1/s but B(jω) = 1/jω
    D.
    A(s) ≠ 1/s but B(jω) ≠ 1/jω

  5. The Inverse Fourier Transform of u(ω) is
  6. A.
    (1/2) δ(t) + 1/πt
    B.

    ( ½)  Î´(t)

    C.
    2 δ(t) + 1/πt
    D.
    δ(t) +sgn(t)

  7. The continuous time system described by the equation y(t) = x(t2) comes under which category

  8. A.
    causal, linear and time varying
    B.
    causal, non-linear and time varying
    C.
    non causal, non-linear and time-invariant
    D.
    non causal, linear and time-variant

  9. Find the Nyquist Frequency for the given signal x(t) =3 cos 50Ï€t +10 sin 300Ï€t “ cos100Ï€t
  10. A.
    50 Hz
    B.
    100 Hz
    C.
    200 Hz
    D.
    300 Hz

  11. The type of systems which are characterized by input and the output quantized at certain levels are called as
  12. A.
    analog
    B.
    discrete
    C.
    continuous
    D.
    digital

  13. The type of systems which are characterized by input and the output capable of taking any value in a particular set of values are called as
  14. A.
    analog
    B.
    discrete
    C.
    digital
    D.
    continuous

  15. An example of a discrete set of information/system is
  16. A.
    the trajectory of the Sun
    B.
    data on a CD
    C.
    universe time scale
    D.
    movement of water through a pipe