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

fYear

1994

fDate

1-3 Jun 1994

Firstpage

791

Lastpage

797

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;

fLanguage

English

Publisher

ieee

Conference_Titel

Frequency Control Symposium, 1994. 48th., Proceedings of the 1994 IEEE International

Conference_Location

Boston, MA

Print_ISBN

0-7803-1945-1

Type

conf

DOI

10.1109/FREQ.1994.398246

Filename

398246