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- W2022647712 abstract "Millisecond and binary pulsars may be used as the most stable natural frequency standards in time-keeping and fundamental metrology. The procedure of obtaining proper unbiased estimates of their stability deserves a special investigation. These estimates depend essentially on the random noise component being revealed in the residuals of the arrival times of pulsar pulses. Using the shot-noise approximation a generalized statistical model of the low-frequency pulsar timing noise is worked out. The model describes both random walk and flicker noises having different physical origins. Particular cases of these noises having the integer and fractional power-law spectra, <italic>S</italic> (<italic>f</italic>), being respectively proportional to<italic>f </italic><sup>−<italic>n</italic></sup> (<italic>n</italic> = 1,…,6) and<italic>f</italic> <sup>−ʻ</sup> (0 < λ < 1) are studied. Formal expressions for the autocovariance function of the noises are obtained. They include both stationary and non-stationary components and can be used effectively in the procedure of estimation of pulsar parameters and the analysis of their errors. The time dependence of the autocovariance functions on the start time t0 of the noise (‘memory effect’) is examined. It is shown that the random walks with spectra S(f)∼f∼−2,f∼−4,f∼−6 are memoryless. In contrast, flicker noises with spectra S (f) ∼f ∼−1,f∼−3,f∼−5 and fractional power-law noises show the presence of a memory tail rapidly decreasing as t0 goes to the past. For this reason, it can be completely ignored in the data processing of pulsar timing observations." @default.
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- W2022647712 date "1997-06-11" @default.
- W2022647712 modified "2023-09-27" @default.
- W2022647712 title "Millisecond and binary pulsars as nature's frequency standards -- I. A generalized statistical model of low-frequency timing noise" @default.
- W2022647712 doi "https://doi.org/10.1093/mnras/288.1.129" @default.
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