Wavelet analysis for synchronization and timekeeping

We discuss the concept of the wavelet variance as a generalized formalism for representing variations in a time series on a scale by scale basis. In particular, we note that the wavelet variance corresponding to some of the recently discovered wavelets can provide a more accurate conversion between the time and frequency domains than can be accomplished using the Allan variance. This increase in accuracy is due to the fact that these wavelet variances give better protection against leakage than does the Allan variance.<
>