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Signal Analysis - Invertibility

  1. Feb 7, 2007 #1
    I don't understand why my book is saying that this system is not invertible.

    y(t) = cos(x(t))

    ?

    Wouldn't, arccos{ y(t) } = x(t) and therefore be an inverse system?
     
  2. jcsd
  3. Feb 7, 2007 #2
    First check on what your book says the definition of invertible is.

    What about times T1 and T2, where T1 and T2 are different

    x(T1) = 0, x(T2)= 2PI

    y(T1) = 1 and y(T2)=1

    Suppose

    y(t)=1 what is the value of t?
     
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