Title :
Wavelet analysis for synchronization and timekeeping
Author :
Howe, D.A. ; Percival, D.B.
Author_Institution :
Time & Frequency Div., Nat. Inst. of Stand. & Technol., Boulder, CO, USA
Abstract :
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
Keywords :
clocks; frequency stability; measurement standards; phase measurement; synchronisation; time series; wavelet transforms; Allan variance; clocks variation; frequency domains; synchronization; time domains; time series; timekeeping; wavelet analysis; wavelet variance; wavelet variances; Analysis of variance; Discrete Fourier transforms; Discrete wavelet transforms; Finite impulse response filter; Frequency conversion; Frequency synchronization; Narrowband; Phase measurement; Polynomials; Wavelet analysis;
Conference_Titel :
Frequency Control Symposium, 1994. 48th., Proceedings of the 1994 IEEE International
Conference_Location :
Boston, MA
Print_ISBN :
0-7803-1945-1
DOI :
10.1109/FREQ.1994.398246
