Fourier representation of CT peridic signals

Discussion in 'Homework Help' started by unlisted, Feb 24, 2007.

  1. unlisted

    Thread Starter Member

    Jan 20, 2007
    11
    0
    I am looking for the Fourier coefficients for the following signal:
    (cos(2pi*t))^2

    Please tell me if my logic is correct.

    I use the trig identity to get
    (1/2) + (cos(2pi*t)/2

    I use the complex definition to get
    (1/2) + (1/4)(exp(j2pi*t) + exp(-j2pi*t))

    I then use the synthesis equation to get the following coefficients
    a_0 = 1/2, a_1 = 3/4

    Thanks
     
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