# Relation between phase spectrum and frequency spectrum

1. Sep 16, 2009

### sohagiut

can any one tell me the relation between phase spectrum and frequency spectrum in signal processing.

2. Sep 17, 2009

### 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?

3. Sep 17, 2009

### sohagiut

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($$\tau$$u)]

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

4. Sep 17, 2009

### sohagiut

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

5. Sep 17, 2009

### Staff: Mentor

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