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Homework Help: Transfer function-leading and lagging

  1. Apr 10, 2013 #1
    If we have the transfer function:
    G(jw)=1/(1-j) where j=imaginary number

    What is the output to input amplitude ratio and the phase relationship.

    I'm confused about which one is the output and which is the input. I thought jw, the argument, is the input and everything on the right hand side is the output?

    If so, this is not getting my the right answers that output to input amplitude ratio=1/sqrt(2) and that output leads input by 45 degrees.
  2. jcsd
  3. Apr 10, 2013 #2

    rude man

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    Homework Helper
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    G(jw) = output/input.

    The magnitude of G(jw) = |G(jw)| = sqrt(Re^2 + Im^2)
    where Re = "real part" and Im = "imaginary part".

    The phase of output/input is arc tan(Im/Re). Be careful to preserve the sign of the numerator and the denominator. Arc tan(-b/a) is not the same angle as arctan(b/-a).
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