Editing Allan variance (section)

===Oscillator model===

The oscillator being analysed is assumed to follow the basic model of

: <math>V(t) = V_0 \sin (\Phi(t)).</math>

The oscillator is assumed to have a nominal frequency of <math>\nu_\text{n}</math>, given in cycles per second (SI unit: [[hertz]]). The nominal [[angular frequency]] <math>\omega_\text{n}</math> (in radians per second) is given by

: <math>\omega_\text{n} = 2\pi \nu_\text{n}.</math>

The total phase can be separated into a perfectly cyclic component <math>\omega_\text{n} t</math>, along with a fluctuating component <math>\varphi(t)</math>:

: <math>\Phi(t) = \omega_\text{n}t + \varphi(t) = 2\pi \nu_\text{n}t + \varphi(t).</math>