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Can two functions have the same frequency domain representation?

  1. Nov 10, 2011 #1
    Hi,

    I stumbled upon the following two functions which have the same freq domain representation,
    1/(j.pi.f)

    1.signum(t) = u(t) - u(-t)

    2. 2u(t)

    what is the reasoning behind them having the same f domain representation?
     
  2. jcsd
  3. Nov 10, 2011 #2

    lurflurf

    User Avatar
    Homework Helper

    well
    2u(t)-1=signum(t)
     
  4. Nov 10, 2011 #3
    thanks,that answers my question:)
     
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