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Relation between phase spectrum and frequency spectrum

  1. Sep 16, 2009 #1
    can any one tell me the relation between phase spectrum and frequency spectrum in signal processing.

    thanks a lot in advance
     
  2. jcsd
  3. Sep 17, 2009 #2

    berkeman

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    Staff: Mentor

    Welcome to the PF.

    Coursework questions should generally go into the Homework Help sub-forums here at the PF. What can you tell us about your question? Can you give some examples of where the phase spectrum comes into play?
     
  4. Sep 17, 2009 #3
    assume, The frequency noise process f(t)is white
    then S[tex]_{f}[/tex] (f)=N[tex]_{}0[/tex]
    Since the phase is the integral of the frequency, the phase becomes
    [tex]\phi[/tex](t)=2[tex]\pi[/tex][tex]\int^{0}_{t}[/tex][f([tex]\tau[/tex])d([tex]\tau[/tex]u)]

    if phase spectrum is S[tex]_{\phi}[/tex](t)

    what is the relation now, i mean how i can express the phase spectrun in terms for frequency spectrum.

    thanks a lot
     
  5. Sep 17, 2009 #4
    assume, The frequency noise process f(t)is white
    then [tex]S_{f}[/tex] (f)=[tex]N_{0}[/tex]
    Since the phase is the integral of the frequency, the phase becomes
    [tex]\phi[/tex](t)=2*pi*[tex]\int^{0}_{t}[/tex]f([tex]\tau[/tex])d([tex]\tau[/tex])
    if phase spectrum is [tex]S_{\phi}[/tex](t)

    what is the relation now, i mean how i can express the phase spectrun in terms for frequency spectrum.

    thanks a lot
     
  6. Sep 17, 2009 #5

    berkeman

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    Staff: Mentor

    Please stop repeating your latest post. Give folks a chance to see the post and respond.
     
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