Time deviation

Time deviation (TDEV),[1] also known as , is the time stability of phase x versus observation interval τ of the measured clock source. The time deviation thus forms a standard deviation type of measurement to indicate the time instability of the signal source. This is a scaled variant of frequency stability of Allan deviation. It is commonly defined from the modified Allan deviation, but other estimators may be used.

Time variance (TVAR) also known as is the time stability of phase versus observation interval tau. It is a scaled variant of modified Allan variance.

TDEV is a metric often used to determine an aspect of the quality of timing signals in telecommunication applications and is a statistical analysis of the phase stability of a signal over a given period. Measurements of a reference timing signal will refer to its TDEV and maximum time interval error (MTIE) values, comparing them to specified masks or goals.

Definition

The most common estimator uses the modified Allan variance

where . The 3 in the denominator normalizes TVAR to be equal to the classical variance if the deviations in x are random and uncorrelated (white-noise).

or TDEV, which is the square-root of TVAR, may be derived from MDEV modified Allan deviation

gollark: Although there are time zone differences and he does have things to do other than look at this discord server constantly.
gollark: He is, in fact, sometimes online.
gollark: It's not entirely unreasonable of Apple, though. If they did NOT slow down old phones the batteries would just run out stupidly fast. Not documenting it is bad, though.
gollark: > LineageOS is a pain to installNot really, you just need to flash TWRP or something then flash the LineageOS image using that.
gollark: On Android devices, not iPhones.

References


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