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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

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  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

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  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)

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  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

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  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

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  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

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  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

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  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

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