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Signals and systems electrical engineering miscellaneous

  1. For the waveform for one period shown in the figure below, the trigonometric fourer series will be
    1. A
      +
      2A
      (sint -
      1
      sin 3t +
      1
      sin 5t...........)
      2π35
    2. A
      +
      2A
      (cos t -
      1
      cos 2t +
      1
      cos 3t...........)
      2π23
    3. A
      +
      2A
      (cos t -
      1
      cos 3t +
      1
      cos 5t...........)
      2π35
    4. A
      +
      2A
      (sin t + cos t +
      1
      sin 3t +
      1
      cos 3t...........)
      2π33
Correct Option: C

x(t) is even. So it contain cosine terms only. It also have half wave symmetry if A/2 is subtracted. So it contains only odd harmonics.



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