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Signal and systems miscellaneous

Signals and Systems

  1. A periodic signal x(t) of period T0 is given by
    x(t) =
    1, |t| < T,
    0, T1 < |t| < T0/2

    The d.c. component of x(t) is—
    1. T1
      T0
    2. T1
      2T0
    3. 2T1
      T0
    4. T0
      T1
Correct Option: C

The given waveform like

The d.c. component of x(t) is

=
1
T0/2x(t).dt
T0– T0/2

=
1
T11.dt =
2T1
T0– T1T0

Hence, alternative (C) is correct choice.



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