# Oscillator Phase Noise¶

Oscillator phase noise model according to Khanzadi et al.[1], modeling the phase noise of an oscillator as a function of the distance to the carrier frequency $$\Delta f$$ in frequency domain. Phase noise is modeled as a superposition of three noise power spectral densities (PSDs)

$S_{\phi}(\Delta f) = S_{\phi_0}(\Delta f) + S_{\phi_2}(\Delta f) + S_{\varphi_3}(\Delta f)$

where

$S_{\phi_0}(\Delta f) = K_0$

denotes the white noise floor PSD of power $$K_0$$,

$S_{\phi_2}(\Delta f) = \frac{K_2}{f^2}$

denotes the flicker noise PSD of power $$K_2$$ following a square law decay with distance to the carrier frequency $$\Delta f$$ and

$S_{\phi_3}(\Delta f) = \frac{K_3}{f^3}$

denotes the flicker noise PSD of power $$K_3$$ following a cubic law decay with distance to the carrier frequency $$\Delta f$$. A starting point for the parameter values is given by Khanzadi et al.[1] as

$\begin{split}K_0 &= -110~\mathrm{dB} = 10^{-110/10} \\ K_2 &= 10 \\ K_3 &= 10^4 \quad \text{.} \\\end{split}$
class OscillatorPhaseNoise(K0=1e-11, K2=10, K3=10000, seed=None)[source]

Oscillator phase noise model defined in frequency domain.

Parameters:
• K0 (float) – White noise floor power level, denoted as $$K_0$$ [1].

• K2 (float) – Power level of the 2nd order flicker noise component, denoted as $$K_2$$ [1].

• K3 (float) – Power level of the 3rd order flicker noise component, denoted as $$K_3$$ [1].

Add phase noise to a signal model.

Parameters:

signal (Signal) – The signal model to which phase noise is to be added.

Return type:

Signal

Returns: Noise signal model.

property K0: float

White noise floor power level, denoted as $$K_0$$.

Raises:

ValueError – If the value is negative.

property K2: float

Power level of the 2nd order flicker noise component, denoted as $$K_2$$.

Raises:

ValueError – If the value is negative.

property K3: float

Power level of the 3rd order flicker noise component, denoted as $$K_3$$.

Raises:

ValueError – If the value is negative.