1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Homework Help: Continuous Time Fourier Series of cosine equation

  1. Nov 14, 2015 #1
    1. The problem statement, all variables and given/known data
    Using the CTFS table of transforms and the CTFS properties, find the CTFS harmonic function of the signal

    2*cos(100*pi(t - 0.005))

    T = 1/50

    2. Relevant equations

    To = fundamental period

    T = mTo

    cos(2*pi*k/To) ----F.S./mTo---- (1/2)(delta[k-m] + delta[k+m])

    3. The attempt at a solution

    using the table of pairs and CTFS properties, the solution I arrived to was:

    1) Cx[k] = (delta[k - 1] + delta[k+1])*e^(-j*0.5*pi*k)

    My solution is right but the final solution from the solution manual there's one more step to simplify it even more:

    2) Cx[k] = j*(delta[k - 1] + delta[k+1])

    How did they go from (1) to (2) ?
  2. jcsd
  3. Nov 14, 2015 #2
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook

Have something to add?
Draft saved Draft deleted