Multi-resolution synthesis of time scale.

Astronomy and Astrophysics – Astronomy

Scientific paper

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Atomic Clocks: Time Signals

Scientific paper

Based on the basic principle of wavelet analysis, multi-resolution analysis of the signal in an atomic clock is made. The coefficients of the wavelet transform for the synthesis of atomic time, which are weighed and averaged at different wavelet scales, are obtained. Then according to the reconstruction theorem, the multi-resolution synthesis time scale can be reconstructed. Since the atomic clock signal has been analysed by multi-resolution, one can use wavelet variance at different scales to weight and average the coefficients. Thus either the difference in stability of different clocks or the varying characteristic of the same clock at the different scale are all considered. Finally, this method is checked by the measured data from National Timing Serve Center of Shaanxi Astronomy Observatory. It confirmed that this technique, which is simple and practicable, is a new method of multi-resolution. From this method, the common characteristic of different clocks can be extracted. The stability of multi-resolution synthesis atomic time scale is obviously superior to that of other methods.

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