综合脉冲星时的小波分析算法

由单脉冲星定义的脉冲星时受几种噪声源的影响,为削弱这些影响得到一种更稳定的时间尺度,采取将多颗脉冲星定义的单脉冲星时进行综合的分析方法得到综合脉冲星时．用两种方法:经典加权算法和小波分解算法,对PSRB1855 09和PSR B1937 21两颗脉冲星进行综合计算并做出比较,经典加权算法无法兼顾脉冲星不同频率上的稳定度,而用小波分析的方法对PSR B1855 09和PSR B1937 21两颗脉冲星进行综合,能够有效抑制不同频率上噪声的影响,达到更好的效果．

An Ensemble Pulsar Time Algorithm Using Wavelet Decomposition

Pulsar time defined by single pulsar is influenced by several noise resource, to weaken these influence for gaining a more stable time scale, one can take an ensemble analysis method to singular pulsar time to obtain ensemble pulsar time. In this paper, two algorithms are introduced and are used in the two pulsar: PSRB1855 09 and PSRB1937 21 .Firstly, classical weighted average algorithm is introduced, to gain the best long-term stability of ensemble pulsar time ,one can choose the weight according to the long-term stability of each pulsars and the weight is inverse proportion to the long-term stability of each pulsar. The weight must be unitary. Secondly ,for different pulsars have different rotation frequency, and the noise source have different influence at different frequency to each pulsar, one can apply wavelet analysis algorithm to integrate the pulsar time, the weights are chosen according to reciprocal of wavelet average square error. The wavelet decomposition algorithm can hold the whole stability on different frequency, but the classical weight algorithm can't meet this point. So wavelet decomposition can effectively restrain the influence of noise on different frequency, and attain better result.