On the relative importance of phase and frequency information in pulsar timing measurements

Details On the relative importance of phase and frequency information in pulsar timing measurements On the relative importance of phase and frequency information in pulsar timing measurements

Aug 1975

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1975apj...200..182p&link_type=abstract

Astrophysical Journal, vol. 200, Aug. 15, 1975, pt. 1, p. 182-186.

Astronomy and Astrophysics

Astronomy

2

Frequency Measurement, Phase Modulation, Pulsars, Stellar Radiation, Time Measurement, Astronomical Models, Binary Stars, Radio Astronomy, Signal Measurement, Signal To Noise Ratios

Scientific paper

Over a given time interval, the phase (time of arrival) of pulsar signals and their frequency can be measured independently. In principle there is also independent information in yet higher derivatives. A common observational practice is to throw away all information except phase; this results in some loss of signal-to-noise over what might optimally have been obtained. This paper calculates quantitatively the signal loss, in the case of a particular model: the detection of a small sinusoidal phase modulation in a perfectly periodic pulsar whose signal is degraded by white noise. Although idealized, this model applies quite directly to the study of pulsars in binary systems. The optimal prescription for combining phase and frequency measurements taken at different times is given. A noise analysis indicates that - consistent with observational practice - there is only negligible advantage in keeping frequency and higher derivatives, if the signal averaging time is short compared to the period of the phase modulation.

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