TDEV Response to Different Noise Types

It is reported [1] that TDEV also has the highly desirable property in that it can discriminate between the various power-law noise processes as each correspond to different slopes of TDEV. This behaviour is detailed in table 4.1.

 

$$TDEV(\tau)$$ Noise Process

$$\tau^{-\frac{1}{2}}$$ White Phase Modulation

$$\tau^{0}$$ Flicker Phase Modulation

$$\tau^{\frac{1}{2}}$$ White Frequency Modulation

$$\tau$$ Flicker Frequency Modulation

$$\tau^{\frac{3}{2}}$$ Random Walk Frequency Modulation