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Are two signals that make up a periodic signal necessarily periodic?

  1. Jan 21, 2008 #1
    1. The problem statement, all variables and given/known data

    If a(t) is periodic and is composition of two signals such that a(t) = b(t) + c(t), then are b(t) and c(t) necessarily periodic?

    2. The attempt at a solution

    I think that b(t) and c(t) must be! Is this correct?
     
  2. jcsd
  3. Jan 21, 2008 #2

    Dick

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    Science Advisor
    Homework Helper

    No. b(t)=sin(t)+t. c(t)=sin(t)-t. Wasn't that easy?
     
  4. Jan 22, 2008 #3
    Indeed it was. Thanks for your help!
     
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