Relation between phase spectrum and frequency spectrum

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Discussion Overview

The discussion centers on the relationship between the phase spectrum and frequency spectrum in signal processing, exploring theoretical aspects and potential applications of these concepts.

Discussion Character

  • Exploratory
  • Technical explanation
  • Homework-related

Main Points Raised

  • One participant asks about the relationship between the phase spectrum and frequency spectrum, seeking clarification on how to express the phase spectrum in terms of the frequency spectrum.
  • Another participant provides a specific assumption regarding a white frequency noise process and presents an equation for the phase as an integral of frequency.
  • Repeated posts from the same participant indicate a desire for responses and further clarification on the relationship between the two spectra.

Areas of Agreement / Disagreement

Participants generally agree on the need to understand the relationship between the phase spectrum and frequency spectrum, but the discussion remains unresolved with no consensus on the specifics of this relationship.

Contextual Notes

The discussion includes assumptions about the nature of the frequency noise process and the mathematical formulation of the phase spectrum, but these aspects remain unexplored in detail.

sohagiut
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can anyone tell me the relation between phase spectrum and frequency spectrum in signal processing.

thanks a lot in advance
 
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sohagiut said:
can anyone tell me the relation between phase spectrum and frequency spectrum in signal processing.

thanks a lot in advance

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?
 
berkeman said:
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?

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
 
berkeman said:
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?

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
 
sohagiut said:
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

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

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