Most searches for continuous gravitational-waves from pulsars use Taylorexpansions in the phase to model the spin-down of neutron stars. Studies ofpulsars demonstrate that their electromagnetic (EM) emissions suffer from\emph{timing noise}, small deviations in the phase from Taylor expansionmodels. How the mechanism producing EM emission is related to any continuousgravitational-wave (CW) emission is unknown; if they either interact or arelocked in phase then the CW will also experience timing noise. Any disparitybetween the signal and the search template used in matched filtering methodswill result in a loss of signal-to-noise ratio (SNR), referred to as`mismatch'. In this work we assume the CW suffers a similar level of timingnoise to its EM counterpart. We inject and recover fake CW signals, whichinclude timing noise generated from observational data on the Crab pulsar.Measuring the mismatch over durations of order $\sim 10$ months, the effect isfor the most part found to be small. This suggests recent so-called`narrow-band' searches which placed upper limits on the signals from the Craband Vela pulsars will not be significantly affected. At a fixed observationtime, we find the mismatch depends upon the observation epoch. Considering theaveraged mismatch as a function of observation time, we find that it increasesas a power law with time, and so may become relevant in long baseline searches.
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