Showing posts with label integrated. Show all posts
Showing posts with label integrated. Show all posts

Friday, June 15, 2018

integrated phase noise formula

given the following SSB phase noise profile, the following calculates SSB integrated phase noise between $\left[ f_0, f_1\right]$:

 \begin{eqnarray} P_{\text{integ}} \left[ \text{dBc} \right] &=& P_0 \left[ \text{dBc} \right] + A \log_{10} \left(f_0\right) -10 \log_{10}\left(\frac{A}{10} -1\right) \nonumber \\ && + 10 \log_{10}\left( f_0^{\left(1- \frac{A}{10}\right)} - f_1^{\left(1- \frac{A}{10}\right)} \right) \end{eqnarray}



if $\frac{f_1}{f_0}=10$, what is the equivalent white noise PSD [$P_{\text{white noise}}$]?
(A) if $A=10$, i.e. pure flicker; not integrated: $P_{\text{white noise}} = P_0-6.4\text{dB}$.
(B) if $A=20$, i.e. non-flicker region of phase noise: $P_{\text{white noise}} = P_0-10\text{dB}$.
(C) if $A=30$, i.e. flicker region:  $P_{\text{white noise}} = P_0-13\text{dB}$.