Relation between phase spectrum and frequency spectrum

AI Thread Summary
The discussion centers on the relationship between the phase spectrum and frequency spectrum in signal processing. It highlights that the phase is derived from the integral of frequency, specifically in the context of a white noise process. The user seeks to express the phase spectrum in terms of the frequency spectrum, indicating a need for clarity on this relationship. Repeated posts are discouraged to allow for more responses. Understanding this relationship is crucial for signal analysis and processing applications.
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_{f} (f)=N_{}0
Since the phase is the integral of the frequency, the phase becomes
\phi(t)=2\pi\int^{0}_{t}[f(\tau)d(\tauu)]

if phase spectrum is S_{\phi}(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 S_{f} (f)=N_{0}
Since the phase is the integral of the frequency, the phase becomes
\phi(t)=2*pi*\int^{0}_{t}f(\tau)d(\tau)
if phase spectrum is S_{\phi}(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 S_{f} (f)=N_{0}
Since the phase is the integral of the frequency, the phase becomes
\phi(t)=2*pi*\int^{0}_{t}f(\tau)d(\tau)
if phase spectrum is S_{\phi}(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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