Cosine Carrier Signal Fourier Transform

Discussion in 'Homework Help' started by jegues, Nov 12, 2012.

  1. jegues

    Thread Starter Well-Known Member

    Sep 13, 2010
    See figure attached for the question and the second figure for the textbooks proposed solution.

    When sketching M(ω) for part (i), should the signal in (a) not have impulses with a magnitude of π?

    What should the magnitudes of the signals be in part (ii) be?

    I understand everything else, just the magnitudes of the impulses in screwing me up.

    Thanks again!
  2. tshuck

    Well-Known Member

    Oct 18, 2012
    One thing to help here is to remember that sum of the magnitude of the pulses is equal to the signal power. So, for part a, the frequency spectrum should have a magnitude of 1/2 A, where, A = 1 in this case.
    See here

    As far as part ii goes, multiply it out and perform the Fourier Series ;)