Fourier Analysis

• any periodic signal can be represented as a sum of sinusoids called a ìFourier Seriesî

  x(t) = S an cos(2ö nft) + S bn sin(2ö nft)
  
  for n = 0, 1, 2, Ö, €
  
  

• eg, for a square wave:

  x(t) = 4V/ p (cos(2ö ft) - 1/3 cos (3*2ö ft) + 1/5 cos(5*2ö ft) - 1/7 cos(7*2ö ft) + . . . to infinity
  

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