Pulsar Phase Jitter and Cyclic Spectroscopy Derived Arrival Times

Astronomy and Astrophysics – Astronomy

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Scientific paper

In searching for gravitational waves with high-precision pulsar timing, we have analyzed the possibility of applying the method of cyclic spectroscopy (CS) to correct for the arrival time fluctuations of the signals. The main causes of these delays are interstellar medium effects such as electron density variations and multi-path scattering, timing noise, pulse shape changes, and pulse-to-pulse jitter. These phenomena affect the electromagnetic wave of the pulsar in both amplitude and phase. The CS method, developed recently by Demorest and collaborators (2010), takes into account the observed voltage signal of the pulsar in the frequency domain and computes a stable, integrable quantity. This quantity can, in principle, be used to determine the impulse response of the system, q(t). Determining q(t) at several observing frequencies should allow frequency dependent effects to be separated from achromatic effects. We have used simulated data assuming the observed signal to be a convolution of the intrinsic pulsar signal and q(t), with additive noise and phase jitter included. We can reconstruct the impulse response function from the simulated data and find an estimate of q(t). When done at several frequencies this allows an estimate for the true delay of the signal. We present the results of these simulations, focusing attention on the effects of pulse phase jitter.

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