Millisecond and binary pulsars as nature's frequency standards - I.A generalized statistical model of low-frequency timing noise

Details Millisecond and binary pulsars as nature's frequency standards - I.A generalized statistical model of low-frequency timing noise Millisecond and binary pulsars as nature's frequency standards - I.A generalized statistical model of low-frequency timing noise

Jun 1997

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1997mnras.288..129k&link_type=abstract

Monthly Notices of the Royal Astronomical Society, Volume 288, Issue 1, pp. 129-137.

Astronomy and Astrophysics

Astronomy

14

Methods: Data Analysis, Methods: Statistical, Pulsars: General

Scientific paper

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, S(f), being respectively proportional to f ^-n (n=1,...,6) and f ^-lambda (0

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